kinds of assignment problem

Assignment Problem: Meaning, Methods and Variations | Operations Research

After reading this article you will learn about:- 1. Meaning of Assignment Problem 2. Definition of Assignment Problem 3. Mathematical Formulation 4. Hungarian Method 5. Variations.

Meaning of Assignment Problem:

An assignment problem is a particular case of transportation problem where the objective is to assign a number of resources to an equal number of activities so as to minimise total cost or maximize total profit of allocation.

The problem of assignment arises because available resources such as men, machines etc. have varying degrees of efficiency for performing different activities, therefore, cost, profit or loss of performing the different activities is different.

Thus, the problem is “How should the assignments be made so as to optimize the given objective”. Some of the problem where the assignment technique may be useful are assignment of workers to machines, salesman to different sales areas.

Definition of Assignment Problem:

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Suppose there are n jobs to be performed and n persons are available for doing these jobs. Assume that each person can do each job at a term, though with varying degree of efficiency, let c ij be the cost if the i-th person is assigned to the j-th job. The problem is to find an assignment (which job should be assigned to which person one on-one basis) So that the total cost of performing all jobs is minimum, problem of this kind are known as assignment problem.

The assignment problem can be stated in the form of n x n cost matrix C real members as given in the following table:

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Assignment problem

The problem of optimally assigning $ m $ individuals to $ m $ jobs. It can be formulated as a linear programming problem that is a special case of the transport problem :

maximize $ \sum _ {i,j } c _ {ij } x _ {ij } $

$$ \sum _ { j } x _ {ij } = a _ {i} , i = 1 \dots m $$

(origins or supply),

$$ \sum _ { i } x _ {ij } = b _ {j} , j = 1 \dots n $$

(destinations or demand), where $ x _ {ij } \geq 0 $ and $ \sum a _ {i} = \sum b _ {j} $, which is called the balance condition. The assignment problem arises when $ m = n $ and all $ a _ {i} $ and $ b _ {j} $ are $ 1 $.

If all $ a _ {i} $ and $ b _ {j} $ in the transposed problem are integers, then there is an optimal solution for which all $ x _ {ij } $ are integers (Dantzig's theorem on integral solutions of the transport problem).

In the assignment problem, for such a solution $ x _ {ij } $ is either zero or one; $ x _ {ij } = 1 $ means that person $ i $ is assigned to job $ j $; the weight $ c _ {ij } $ is the utility of person $ i $ assigned to job $ j $.

The special structure of the transport problem and the assignment problem makes it possible to use algorithms that are more efficient than the simplex method . Some of these use the Hungarian method (see, e.g., [a5] , [a1] , Chapt. 7), which is based on the König–Egervary theorem (see König theorem ), the method of potentials (see [a1] , [a2] ), the out-of-kilter algorithm (see, e.g., [a3] ) or the transportation simplex method.

In turn, the transportation problem is a special case of the network optimization problem.

A totally different assignment problem is the pole assignment problem in control theory.

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The assignment problem revisited

• Original Paper
• Published: 16 August 2021
• Volume 16 , pages 1531–1548, ( 2022 )

Cite this article

• Carlos A. Alfaro   ORCID: orcid.org/0000-0001-9783-8587 1 ,
• Sergio L. Perez 2 ,
• Carlos E. Valencia 3 &
• Marcos C. Vargas 1  

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First, we give a detailed review of two algorithms that solve the minimization case of the assignment problem, the Bertsekas auction algorithm and the Goldberg & Kennedy algorithm. It was previously alluded that both algorithms are equivalent. We give a detailed proof that these algorithms are equivalent. Also, we perform experimental results comparing the performance of three algorithms for the assignment problem: the \(\epsilon \) - scaling auction algorithm , the Hungarian algorithm and the FlowAssign algorithm . The experiment shows that the auction algorithm still performs and scales better in practice than the other algorithms which are harder to implement and have better theoretical time complexity.

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Alfaro, C.A., Perez, S.L., Valencia, C.E. et al. The assignment problem revisited. Optim Lett 16 , 1531–1548 (2022). https://doi.org/10.1007/s11590-021-01791-4

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Assignment Problem: Linear Programming

The assignment problem is a special type of transportation problem , where the objective is to minimize the cost or time of completing a number of jobs by a number of persons.

In other words, when the problem involves the allocation of n different facilities to n different tasks, it is often termed as an assignment problem.

The model's primary usefulness is for planning. The assignment problem also encompasses an important sub-class of so-called shortest- (or longest-) route models. The assignment model is useful in solving problems such as, assignment of machines to jobs, assignment of salesmen to sales territories, travelling salesman problem, etc.

It may be noted that with n facilities and n jobs, there are n! possible assignments. One way of finding an optimal assignment is to write all the n! possible arrangements, evaluate their total cost, and select the assignment with minimum cost. But, due to heavy computational burden this method is not suitable. This chapter concentrates on an efficient method for solving assignment problems that was developed by a Hungarian mathematician D.Konig.

"A mathematician is a device for turning coffee into theorems." -Paul Erdos

Formulation of an assignment problem

Suppose a company has n persons of different capacities available for performing each different job in the concern, and there are the same number of jobs of different types. One person can be given one and only one job. The objective of this assignment problem is to assign n persons to n jobs, so as to minimize the total assignment cost. The cost matrix for this problem is given below:

The structure of an assignment problem is identical to that of a transportation problem.

To formulate the assignment problem in mathematical programming terms , we define the activity variables as

for i = 1, 2, ..., n and j = 1, 2, ..., n

In the above table, c ij is the cost of performing jth job by ith worker.

Generalized Form of an Assignment Problem

The optimization model is

Minimize c 11 x 11 + c 12 x 12 + ------- + c nn x nn

subject to x i1 + x i2 +..........+ x in = 1          i = 1, 2,......., n x 1j + x 2j +..........+ x nj = 1          j = 1, 2,......., n

x ij = 0 or 1

In Σ Sigma notation

x ij = 0 or 1 for all i and j

An assignment problem can be solved by transportation methods, but due to high degree of degeneracy the usual computational techniques of a transportation problem become very inefficient. Therefore, a special method is available for solving such type of problems in a more efficient way.

Assumptions in Assignment Problem

• Number of jobs is equal to the number of machines or persons.
• Each man or machine is assigned only one job.
• Each man or machine is independently capable of handling any job to be done.
• Assigning criteria is clearly specified (minimizing cost or maximizing profit).

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Operations Research Simplified Back Next

Goal programming Linear programming Simplex Method Transportation Problem

Network flow problem

Author: Aaron Wheeler, Chang Wei, Cagla Deniz Bahadir, Ruobing Shui, Ziqiu Zhang (ChemE 6800 Fall 2020)

• 1 Introduction
• 2.1.1 The Assignment Problem
• 2.1.2 The Transportation Problem
• 2.1.3 The Shortest-Path Problem
• 2.1.4 Maximal Flow Problem
• 2.2.1 Ford–Fulkerson Algorithm
• 3.1 Formulation of the Problem
• 3.2 Solution of the Problem
• 4.1 The Minimum Cost Flow Problem
• 4.2 The Assignment Problem
• 4.3 The Shortest Path Problem
• 5 Conclusion
• 6 References

Introduction

Network flow problems arise in several key instances and applications within society and have become fundamental problems within computer science, operations research, applied mathematics, and engineering. Developments in the approach to tackle these problems resulted in algorithms that became the chief instruments for solving problems related to large-scale systems and industrial logistics. Spurred by early developments in linear programming, the methods for addressing these extensive problems date back several decades and they evolved over time as the use of digital computing became increasingly prevalent in industrial processes. Historically, the first instance of an algorithmic development for the network flow problem came in 1956, with the network simplex method formulated by George Dantzig. [1] A variation of the simplex algorithm that revolutionized linear programming, this method leveraged the combinatorial structure inherent to these types of problems and demonstrated incredibly high accuracy. [2] This method and its variations would go on to define the embodiment of the algorithms and models for the various and distinct network flow problems discussed here.

Theory, Methodology, and Algorithms

Additional constraints of the network flow optimization model place limits on the solution and vary significantly based on the specific type of problem being solved. Historically, the classic network flow problems are considered to be the maximum flow problem and the minimum-cost circulation problem, the assignment problem, bipartite matching problem, transportation problem, and the transshipment problem. [2] The approach to these problems become quite specific based upon the problem’s objective function but can be generalized by the following iterative approach: 1. determining the initial basic feasible solution; 2. checking the optimality conditions (i.e. whether the problem is infeasible, unbounded over the feasible region, optimal solution has been found, etc.); and 3. constructing an improved basic feasible solution if the optimal solution has not been determined. [3]

General Applications

The assignment problem.

Various real-life instances of assignment problems exist for optimization, such as assigning a group of people to different tasks, events to halls with different capacities, rewards to a team of contributors, and vacation days to workers. All together, the assignment problem is a bipartite matching problem in the kernel. [3] In a classical setting, two types of objects of equal amount are  bijective (i.e. they have one-to-one matching), and this tight constraint ensures a perfect matching. The objective is to minimize the cost or maximize the profit of matching, since different items of two types have distinct affinity.

Figure 2 can be viewed as a network. The nodes represent people and tasks, and the edges represent potential assignments between a person and a task. Each task can be completed by any person. However, the person that actually ends up being assigned to the task will be the lone individual who is best suited to complete. In the end, the edges with positive flow values will be the only ones represented in the finalized assignment. [5]

The concise-form formulation of the problem is as follows [3] :

Subject to:

The first constraint captures the requirement of assigning each person  to a single task. The second constraint indicates that each task must be done by exactly one person. The objective function sums up the overall benefits of all assignments.

To see the analogy between the assignment problem and the network flow, we can describe each person supplying a flow of 1 unit and each task demanding a flow of 1 unit, with the benefits over all “channels” being maximized. [3]

A potential issue lies in the branching of the network, specifically an instance where a person splits its one unit of flow into multiple tasks and the objective remains maximized. This shortcoming is allowed by the laws that govern the network flow model, but are unfeasible in real-life instances. Fortunately, since the network simplex method only involves addition and subtraction of a single edge while transferring the basis, which is served by the spanning tree of the flow graph, if the supply (the number of people here) and the demand (the number of tasks here) in the constraints are integers, the solved variables will be automatically integers even if it is not explicitly stated in the problem. This is called the integrality of the network problem, and it certainly applies to the assignment problem. [6]

The Transportation Problem

People first came up with the transportation problem when distributing troops during World War II. [7] Now, it has become a useful model for solving logistics problems, and the objective is usually to minimize the cost of transportation.

Consider the following scenario:

Several quantities should be defined to help formulate the frame of the solution:

Here, the amount of material being delivered and being consumed is bound to the supply and demand constraints:

The objective is to find the minimum cost of transportation, so the cost of each transportation line should be added up, and the total cost should be minimized.

Using the definitions above, the problem can be formulated as such:

The problem and the formulation is adapted from Chapter 8 of the book: Applied Mathematical Programming by Bradley, Hax and Magnanti. [3]

The Shortest-Path Problem

The shortest-path problem can be defined as finding the path that yields the shortest total distance between the origin and the destination. Each possible stop is a node and the paths between these nodes are edges incident to these nodes, where the path distance becomes the weight of the edges. In addition to being the most common and straightforward application for finding the shortest path, this model is also used in various applications depending on the definition of nodes and edges. [3] For example, when each node represents a different object and the edge specifies the cost of replacement, the equipment replacement problem is derived. Moreover, when each node represents a different project and the edge specifies the relative priority, the model becomes a project scheduling problem.

A graph of the general shortest-path problem is depicted as Figure 4:

The first term of the constraint is the total outflow of the node i, and the second term is the total inflow. So, the formulation above could be seen as one unit of flow being supplied by the origin, one unit of flow being demanded by the destination, and no net inflow or outflow at any intermediate nodes. These constraints mandate a flow of one unit, amounting to the active path, from the origin to the destination. Under this constraint, the objective function minimizes the overall path distance from the origin to the destination.

Similarly, the integrality of the network problem applies here, precluding the unreasonable fractioning. With supply and demand both being integer (one here), the edges can only have integer amount of flow in the result solved by simplex method. [6]

In addition, the point-to-point model above can be further extended to other problems. A number of real life scenarios require visiting multiple places from a single starting point. This “Tree Problem” can be modeled by making small adjustments to the original model. In this case, the source node should supply more units of flow and there will be multiple sink nodes demanding one unit of flow. Overall, the objective and the constraint formulation are similar. [4]

Maximal Flow Problem

This problem describes a situation where the material from a source node is sent to a sink node. The source and sink node are connected through multiple intermediate nodes, and the common optimization goal is to maximize the material sent from the source node to the sink node. [3]

The given structure is a piping system. The water flows into the system from the source node, passing through the intermediate nodes, and flows out from the sink node. There is no limitation on the amount of water that can be used as the input for the source node. Therefore, the sink node can accept an unlimited amount of water coming into it. The arrows denote the valid channel that water can flow through, and each channel has a known flow capacity. What is the maximum flow that the system can take?

For the source and sink node, they have net flow that is non-zero:

Flow capacity definition is applied to all nodes (including intermediate nodes, the sink, and the source):

The main constraints for this problem are the transport capacity between each node and the material conservation:

Overall, the net flow out of the source node has to be the same as the net flow into the sink node. This net flow is the amount that should be maximized.

Using the definitions above:

This expression can be further simplified by introducing an imaginary flow from the sink to the source.

By introducing this imaginary flow, the piping system is now closed. The mass conservation constraint now also holds for the source and sink node, so they can be treated as the intermediate nodes. The problem can be rewritten as the following: 

The problem and the formulation are derived from an example in Chapter 8 of the book: Applied Mathematical Programming by Bradley, Hax and Magnanti. [3]

Ford–Fulkerson Algorithm

A broad range of network flow problems could be reduced to the max-flow problem. The most common way to approach the max-flow problem in polynomial time is the Ford-Fulkerson Algorithm (FFA). FFA is essentially a greedy algorithm and it iteratively finds the augmenting s-t path to increase the value of flow. The pathfinding terminates until there is no s-t path present. Ultimately, the max-flow pattern in the network graph will be returned. [8]

Numerical Example and Solution

A Food Distributor Company is farming and collecting vegetables from farmers to later distribute to the grocery stores. The distributor has specific agreements with different third-party companies to mediate the delivery to the grocery stores. In a particular month, the company has 600 ton vegetables to deliver to the grocery store. They have agreements with two third-party transport companies A and B, which have different tariffs for delivering goods between themselves, the distributor, and the grocery store. They also have limits on transport capacity for each path. These delivery points are numbered as shown below, with path 1 being the transport from the Food Distributor Company to the transport company A. The limits and tariffs for each path can be found in the Table 2 below, and the possible transportation connections between the distributor company, the third-party transporters, and the grocery store are shown in the figure below. The distributor companies cannot hold any amount of food, and any incoming food should be delivered to an end point. The distributor company wants to minimize the overall transport cost of shipping 600 tons of vegetables to the grocery store by choosing the optimal path provided by the transport companies. How should the distributor company map out their path and the amount of vegetables carried on each path to minimize cost overall?

This question is adapted from one of the exercise questions in chapter 8 of the book: Applied Mathematical Programming by Bradley, Hax and Magnanti [3] .

Formulation of the Problem

The second step is to write down the constraints. The first constraint ensures that the net amount present in the Transport Company A, which is the deliveries received from path 1 and path 2 minus the transport to Transport Company B should be delivered to the grocery store with path 5. The second constraint ensures this for the Transport Company B. The third and fourth constraints are ensuring that the total amount of vegetables shipping from the Food Distributor Company and the total amount of vegetables delivered to the grocery store are both 600 tons. The constraints 5 to 10 depict the upper limits of the amount of vegetables that can be carried on paths 1 to 6. The final constraint depicts that all variables are non-negative.

Solution of the Problem

This problem can be solved using Simplex Algorithm [11] or with the CPLEX Linear Programming solver in GAMS optimization platform. The steps of the solution using the GAMS platform is as follows:

variables x1,x2,x3,x4,x5,x6,z;

obj.. z=e= 10*x1+12.5*x2+5*x3+7.5*x4+10*x5+20*x6;

Overall, there are 10 constraints in this problem. The constraints 1, and 2 are equations for the paths 5 and 6. The amount carried in path 5 can be found by summing the amount of vegetables incoming to Transport Company A from path 1 and path 4, minus the amount of vegetables leaving Transport Company A with path 3. This can be attributed to the restriction that barrs the companies from keeping any vegetables and requires them to eventually deliver all the incoming produce. The equality 1 ensures that this constraint holds for path 5 and equation 2 ensures it for path 6. A sample of these constraints is written below for path 5:

c1.. x5 =e=x1-x3+x4;

Constraint 3 ensures that the sum of vegetables carried in path 1 and path 2 add to the total of 600 tons of vegetables that leave the Food Distributor Company. Likewise, the constraint 4 ensures that the sum amount of food transported in paths 5 and 6 adds up to 600 tons of vegetables that have to be delivered to the grocery store. A sample of these constraints is written below for the total delivery to the grocery store:

c3.. x5+x6=e=600;

Constraints 5 to 10 should ensure that the amount of food transported in each path should not exceed the maximum capacity depicted in the table. A sample of these constraints is written below for the capacity of path 1:

c5.. x1=l=250;

After listing the variables, objective function and the constraints, the final step is to call the CPLEX solver and set the type of the optimization problem as lp (linear programming). In this case the problem will be solved with a Linear Programming algorithm to minimize the objective (cost) function.

The GAMS code yields the results below:

x1 = 250, x2 = 350, x3 = 0, x4 = 50, x5 = 300, x6 = 300, z =16250.

Real Life Applications

Network problems have many applications in all kinds of areas such as transportation, city design, resource management and financial planning. [6]

There are several special cases of network problems, such as the shortest path problem, minimum cost flow problem, assignment problem and transportation problem. [6] Three application cases will be introduced here.

The Minimum Cost Flow Problem

Minimum cost flow problems are pervasive in real life, such as deciding how to allocate temporal quay crane in container terminals, and how to make optimal train schedules on the same railroad line. [12]

R. Dewil and his group use MCNFP to assist traffic enforcement. [13] Police patrol “hot spots”, which are areas where crashes occur frequently on highways. R. Dewil studies a method intended to estimate the optimal route of hot spots. He describes the time it takes to move the detector to a certain position as the cost, and the number of patrol cars from one node to next as the flow, in order to minimize the total cost. [13]

Dung-Ying Lin studies an assignment problem in which he aims to assign freights to ships and arrange transportation paths along the Northern Sea Route in a manner which yields maximum profit. [14] Within this network  composed of a ship subnetwork and a cargo subnetwork( shown as Figure 12 and Figure 13), each node corresponds to a port at a specific time and each arc represents the movement of a ship or a cargo. Other types of assignment problems are faculty scheduling, freight assignment, and so on.

The Shortest Path Problem

Shortest path problems are also present in many fields, such as transportation, 5G wireless communication, and implantation of the global dynamic routing scheme. [15][16][17]

Qiang Tu and his group studies the constrained reliable shortest path (CRSP) problem for electric vehicles in the urban transportation network. [15] He describes the reliable travel time of path as the objective item, which is made up of planning travel time of path and the reliability item. The group studies the Chicago sketch network consisting of 933 nodes and 2950 links and the Sioux Falls network consisting of 24 nodes and 76 links. The results show that the travelers’ risk attitudes and properties of electric vehicles in the transportation network can have a great influence on the path choice. [15] The study can contribute to the invention of the city navigation system.

Since its inception, the network flow problem has provided humanity with a straightforward and scalable approach for several large-scale challenges and problems. The Simplex algorithm and other computational optimization platforms have made addressing these problems routine, and have greatly expedited efforts for groups concerned with supply-chain and other distribution processes. The formulation of this problem has had several derivations from its original format, but its overall methodology and approach have remained prevalent in several of society’s industrial and commercial processes, even over half a century later. Classical models such as the assignment, transportation, maximal flow, and shortest path problem configurations have found their way into diverse settings, ranging from streamlining oil distribution networks along the gulf coast to arranging optimal scheduling assignments for college students amidst a global pandemic. All in all, the network flow problem and its monumental impact, have made it a fundamental tool for any group that deals with combinatorial data sets. And with the surge in adoption of data-driven models and applications within virtually all industries, the use of the network flow problem approach will only continue to drive innovation and meet consumer demands for the foreseeable future.

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Assignment Model | Linear Programming Problem (LPP) | Introduction

What is assignment model.

→ Assignment model is a special application of Linear Programming Problem (LPP) , in which the main objective is to assign the work or task to a group of individuals such that;

i) There is only one assignment.

ii) All the assignments should be done in such a way that the overall cost is minimized (or profit is maximized, incase of maximization).

→ In assignment problem, the cost of performing each task by each individual is known. → It is desired to find out the best assignments, such that overall cost of assigning the work is minimized.

For example:

Suppose there are 'n' tasks, which are required to be performed using 'n' resources.

The cost of performing each task by each resource is also known (shown in cells of matrix)

• In the above asignment problem, we have to provide assignments such that there is one to one assignments and the overall cost is minimized.

How Assignment Problem is related to LPP? OR Write mathematical formulation of Assignment Model.

→ Assignment Model is a special application of Linear Programming (LP).

→ The mathematical formulation for Assignment Model is given below:

→ Let, C i j \text {C}_{ij} C ij ​ denotes the cost of resources 'i' to the task 'j' ; such that

→ Now assignment problems are of the Minimization type. So, our objective function is to minimize the overall cost.

→ Subjected to constraint;

(i) For all j t h j^{th} j t h task, only one i t h i^{th} i t h resource is possible:

(ii) For all i t h i^{th} i t h resource, there is only one j t h j^{th} j t h task possible;

(iii) x i j x_{ij} x ij ​ is '0' or '1'.

Types of Assignment Problem:

(i) balanced assignment problem.

• It consist of a suqare matrix (n x n).
• Number of rows = Number of columns

(ii) Unbalanced Assignment Problem

• It consist of a Non-square matrix.
• Number of rows ≠ \not=  = Number of columns

Methods to solve Assignment Model:

(i) integer programming method:.

In assignment problem, either allocation is done to the cell or not.

So this can be formulated using 0 or 1 integer.

While using this method, we will have n x n decision varables, and n+n equalities.

So even for 4 x 4 matrix problem, it will have 16 decision variables and 8 equalities.

So this method becomes very lengthy and difficult to solve.

(ii) Transportation Methods:

As assignment problem is a special case of transportation problem, it can also be solved using transportation methods.

In transportation methods ( NWCM , LCM & VAM), the total number of allocations will be (m+n-1) and the solution is known as non-degenerated. (For eg: for 3 x 3 matrix, there will be 3+3-1 = 5 allocations)

But, here in assignment problems, the matrix is a square matrix (m=n).

So total allocations should be (n+n-1), i.e. for 3 x 3 matrix, it should be (3+3-1) = 5

But, we know that in 3 x 3 assignment problem, maximum possible possible assignments are 3 only.

So, if are we will use transportation methods, then the solution will be degenerated as it does not satisfy the condition of (m+n-1) allocations.

So, the method becomes lengthy and time consuming.

(iii) Enumeration Method:

It is a simple trail and error type method.

Consider a 3 x 3 assignment problem. Here the assignments are done randomly and the total cost is found out.

For 3 x 3 matrix, the total possible trails are 3! So total 3! = 3 x 2 x 1 = 6 trails are possible.

The assignments which gives minimum cost is selected as optimal solution.

But, such trail and error becomes very difficult and lengthy.

If there are more number of rows and columns, ( For eg: For 6 x 6 matrix, there will be 6! trails. So 6! = 6 x 5 x 4 x 3 x 2 x 1 = 720 trails possible) then such methods can't be applied for solving assignments problems.

(iv) Hungarian Method:

It was developed by two mathematicians of Hungary. So, it is known as Hungarian Method.

It is also know as Reduced matrix method or Flood's technique.

There are two main conditions for applying Hungarian Method:

(1) Square Matrix (n x n). (2) Problem should be of minimization type.

Suggested Notes:

Modified Distribution Method (MODI) | Transportation Problem | Transportation Model

Stepping Stone | Transportation Problem | Transportation Model

Vogel’s Approximation Method (VAM) | Method to Solve Transportation Problem | Transportation Model

Transportation Model - Introduction

North West Corner Method | Method to Solve Transportation Problem | Transportation Model

Least Cost Method | Method to Solve Transportation Problem | Transportation Model

Tie in selecting row and column (Vogel's Approximation Method - VAM) | Numerical | Solving Transportation Problem | Transportation Model

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WHAT IS ASSIGNMENT PROBLEM

Assignment Problem is a special type of linear programming problem where the objective is to minimise the cost or time of completing a number of jobs by a number of persons.

The assignment problem in the general form can be stated as follows:

“Given n facilities, n jobs and the effectiveness of each facility for each job, the problem is to assign each facility to one and only one job in such a way that the measure of effectiveness is optimised (Maximised or Minimised).”

Several problems of management has a structure identical with the assignment problem.

Example I A manager has four persons (i.e. facilities) available for four separate jobs (i.e. jobs) and the cost of assigning (i.e. effectiveness) each job to each ...

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A Step-Wise Guide for Solving Assignment Problems

Most students have difficulty with their assignments, so they look for an online assignment problem solver to help them out. You first need to understand the question so that you get the information required to complete the tasks. So, in this blog, we have discussed some of the best and most effective ways to solve assignment problems. 

Proper Planning

When you start solving your assignment, you are most likely to jump directly into the main issue, like most students do. However, any online assignment problem solver will start with proper planning so that they can work their way through the remainder of the assignment. Therefore, you, too, should understand that this is a superior way of solving assignment problems. 

So start with identifying how much time you need to complete the assignment and then list down all the various chores that need to be done. Recognize what extent it will take you to finish every task to check whether you have to permit yourself additional time. Note down everything that you are working on and be practical.

Collect the Required Data

Ensure that you have all the required information needed to solve the assignment problems. Do not start abruptly without proper information since it could be difficult to get the information again and write with the same flow when you come back to it. So, efficient planning will let you know exactly what you want for completing your assignment and set everything you require.

Set a TimeTable

Setting a proper timetable will help you achieve each part of your assignment based on how long you think each part will take and how much time you have to do this. It ensures you give yourself enough time to complete each part while doing other nightly routines. Be honest with your timetable. Spend less time checking your phone or laptop. You may also set a time to a specific duration and work honestly to complete it.

Stay Away from Distractions

Make sure you find a quiet place when working on your assignment problems, especially those related to math, computer science, etc. Make sure your surroundings are as peaceful as possible since solving assignment problems requires a lot of focus. So give it your full concentration to make it simpler for you. 

Also, many students make the mistake of trying to perform multiple tasks while sitting in front of the TV or tuning to the radio or other distractions when solving their assignment problems. But remember that your brain will not balance various tasks simultaneously. So you can enjoy these things after completing your assignment problems. 

Take Breaks

Many times, when professors give you a lot of assignments to complete, students tend to work straight through hours of assignments. But this will only lead to slowing down your speed and prolonging the whole session. So, ensure you get the work done quickly by taking breaks when necessary. You may go hard with one particular assignment and then take a short break, which can be utilized for stretching or walking. This will help you re-energize your mind and body, thus helping you solve the assignment problems quickly while maintaining quality. 

Isolate Yourself

This is one of the best ways to solve your assignment problems, as when we isolate ourselves from the distractions of the outside world, we can better concentrate on our work. These outside elements can distract our minds from the assignment problems. So, isolating yourself from family, social media, and other activities can help you complete the assignment quickly. 

Take Help from Professionals

If you find it hard to solve your assignment problems, you can seek help from online assignment service providers. These services have professionals with years of experience in their respective fields and are always available to deal with your problems. They are also very well aware of the guidelines provided by most universities and colleges and have a much better approach to solving assignment problems.

Types of Assignment Problems

• Analytical: These involve the student’s ability to connect ideas, where the student should be able to break down the problem into parts and analyze each. 
• Informational: This involves the student’s ability to summarize the problem, similar to solving a puzzle. 
• Argumentative: This involves the student’s ability to state a claim and back it up with evidence.
• Reflective: This includes the student’s ability to look at past experiences and reflect upon them.
• Expressive: This includes the ability to express how the student feels about a particular situation.

Following the above mentioned steps will help solve your assignment problems efficiently and quickly. The above information will help you find the answer to solving your assignment problems, especially math and computer science, which require a lot of focus and proper time management. Managing your ties effectively can prevent many problems that may arise while solving your assignment. And if you are still facing any issues, you can always seek help from online professional assignment problem-solving services, which can help you complete your work on time and get good grades. 

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Types of Assignments

Cristy Bartlett and Kate Derrington

Introduction

As discussed in the previous chapter, assignments are a common method of assessment at university. You may encounter many assignments over your years of study, yet some will look quite different from others. By recognising different types of assignments and understanding the purpose of the task, you can direct your writing skills effectively to meet task requirements. This chapter draws on the skills from the previous chapter, and extends the discussion, showing you where to aim with different types of assignments.

The chapter begins by exploring the popular essay assignment, with its two common categories, analytical and argumentative essays. It then examines assignments requiring case study responses , as often encountered in fields such as health or business. This is followed by a discussion of assignments seeking a report (such as a scientific report) and reflective writing assignments, common in nursing, education and human services. The chapter concludes with an examination of annotated bibliographies and literature reviews. The chapter also has a selection of templates and examples throughout to enhance your understanding and improve the efficacy of  your assignment writing skills.

Different Types of Written Assignments

At university, an essay is a common form of assessment. In the previous chapter Writing Assignments we discussed what was meant by showing academic writing in your assignments. It is important that you consider these aspects of structure, tone and language when writing an essay.

Components of an essay

Essays should use formal but reader friendly language and have a clear and logical structure. They must include research from credible academic sources such as peer reviewed journal articles and textbooks. This research should be referenced throughout your essay to support your ideas (See the chapter Working with Information ).

If you have never written an essay before, you may feel unsure about how to start.  Breaking your essay into sections and allocating words accordingly will make this process more manageable and will make planning the overall essay structure much easier.

• An essay requires an introduction, body paragraphs and a conclusion.
• Generally, an introduction and conclusion are approximately 10% each of the total word count.
• The remaining words can then be divided into sections and a paragraph allowed for each area of content you need to cover.
• Use your task and criteria sheet to decide what content needs to be in your plan

An effective essay introduction needs to inform your reader by doing four basic things:

Table 20.1 An effective essay

An effective essay body paragraph needs to:

An effective essay conclusion needs to:

Common types of essays

You may be required to write different types of essays, depending on your study area and topic. Two of the most commonly used essays are analytical and argumentative .  The task analysis process discussed in the previous chapter Writing Assignments will help you determine the type of essay required. For example, if your assignment question uses task words such as analyse, examine, discuss, determine or explore, you would be writing an analytical essay . If your assignment question has task words such as argue, evaluate, justify or assess, you would be writing an argumentative essay . Despite the type of essay, your ability to analyse and think critically is important and common across genres.  

Analytical essays

These essays usually provide some background description of the relevant theory, situation, problem, case, image, etcetera that is your topic. Being analytical requires you to look carefully at various components or sections of your topic in a methodical and logical way to create understanding.

The purpose of the analytical essay is to demonstrate your ability to examine the topic thoroughly. This requires you to go deeper than description by considering different sides of the situation, comparing and contrasting a variety of theories and the positives and negatives of the topic. Although in an analytical essay your position on the topic may be clear, it is not necessarily a requirement that you explicitly identify this with a thesis statement, as is the case with an argumentative essay. If you are unsure whether you are required to take a position, and provide a thesis statement, it is best to check with your tutor.

Argumentative essays

These essays require you to take a position on the assignment topic. This is expressed through your thesis statement in your introduction. You must then present and develop your arguments throughout the body of your assignment using logically structured paragraphs. Each of these paragraphs needs a topic sentence that relates to the thesis statement. In an argumentative essay, you must reach a conclusion based on the evidence you have presented.

Case Study Responses

Case studies are a common form of assignment in many study areas and students can underperform in this genre for a number of key reasons.

Students typically lose marks for not:

• Relating their answer sufficiently to the case details
• Applying critical thinking
• Writing with clear structure
• Using appropriate or sufficient sources
• Using accurate referencing

When structuring your response to a case study, remember to refer to the case. Structure your paragraphs similarly to an essay paragraph structure but include examples and data from the case as additional evidence to support your points (see Figure 20.5 ). The colours in the sample paragraph below show the function of each component.

The Nursing and Midwifery Board of Australia (NMBA) Code of Conduct and Nursing Standards (2018) play a crucial role in determining the scope of practice for nurses and midwives. A key component discussed in the code is the provision of person-centred care and the formation of therapeutic relationships between nurses and patients (NMBA, 2018). This ensures patient safety and promotes health and wellbeing (NMBA, 2018). The standards also discuss the importance of partnership and shared decision-making in the delivery of care (NMBA, 2018, 4). Boyd and Dare (2014) argue that good communication skills are vital for building therapeutic relationships and trust between patients and care givers. This will help ensure the patient is treated with dignity and respect and improve their overall hospital experience. In the case, the therapeutic relationship with the client has been compromised in several ways. Firstly, the nurse did not conform adequately to the guidelines for seeking informed consent before performing the examination as outlined in principle 2.3 (NMBA, 2018). Although she explained the procedure, she failed to give the patient appropriate choices regarding her health care. 

Topic sentence | Explanations using paraphrased evidence including in-text references | Critical thinking (asks the so what? question to demonstrate your student voice). | Relating the theory back to the specifics of the case. The case becomes a source of examples as extra evidence to support the points you are making.

Reports are a common form of assessment at university and are also used widely in many professions. It is a common form of writing in business, government, scientific, and technical occupations.

Reports can take many different structures. A report is normally written to present information in a structured manner, which may include explaining laboratory experiments, technical information, or a business case.  Reports may be written for different audiences including clients, your manager, technical staff, or senior leadership within an organisation. The structure of reports can vary, and it is important to consider what format is required. The choice of structure will depend upon professional requirements and the ultimate aims of the report. Consider some of the options in the table below (see Table 20.2 ).

Table 20.2 Explanations of different types of reports

Reflective writing.

Reflective writing is a popular method of assessment at university. It is used to help you explore feelings, experiences, opinions, events or new information to gain a clearer and deeper understanding of your learning. A reflective writing task requires more than a description or summary.  It requires you to analyse a situation, problem or experience, consider what you may have learnt and evaluate how this may impact your thinking and actions in the future. This requires critical thinking, analysis, and usually the application of good quality research, to demonstrate your understanding or learning from a situation. Essentially, reflective practice is the process of looking back on past experiences and engaging with them in a thoughtful way and drawing conclusions to inform future experiences. The reflection skills you develop at university will be vital in the workplace to assist you to use feedback for growth and continuous improvement. There are numerous models of reflective writing and you should refer to your subject guidelines for your expected format. If there is no specific framework, a simple model to help frame your thinking is What? So what? Now what?   (Rolfe et al., 2001).

Table 20.3 What? So What? Now What? Explained.

The Gibbs’ Reflective Cycle

The Gibbs’ Cycle of reflection encourages you to consider your feelings as part of the reflective process. There are six specific steps to work through. Following this model carefully and being clear of the requirements of each stage, will help you focus your thinking and reflect more deeply. This model is popular in Health.

The 4 R’s of reflective thinking

This model (Ryan and Ryan, 2013) was designed specifically for university students engaged in experiential learning.  Experiential learning includes any ‘real-world’ activities including practice led activities, placements and internships.  Experiential learning, and the use of reflective practice to heighten this learning, is common in Creative Arts, Health and Education.

Annotated Bibliography

What is it.

An annotated bibliography is an alphabetical list of appropriate sources (books, journals or websites) on a topic, accompanied by a brief summary, evaluation and sometimes an explanation or reflection on their usefulness or relevance to your topic. Its purpose is to teach you to research carefully, evaluate sources and systematically organise your notes. An annotated bibliography may be one part of a larger assessment item or a stand-alone assessment piece. Check your task guidelines for the number of sources you are required to annotate and the word limit for each entry.

How do I know what to include?

When choosing sources for your annotated bibliography it is important to determine:

• The topic you are investigating and if there is a specific question to answer
• The type of sources on which you need to focus
• Whether they are reputable and of high quality

What do I say?

Important considerations include:

• Is the work current?
• Is the work relevant to your topic?
• Is the author credible/reliable?
• Is there any author bias?
• The strength and limitations (this may include an evaluation of research methodology).

Literature Reviews

It is easy to get confused by the terminology used for literature reviews. Some tasks may be described as a systematic literature review when actually the requirement is simpler; to review the literature on the topic but do it in a systematic way. There is a distinct difference (see Table 20.4 ). As a commencing undergraduate student, it is unlikely you would be expected to complete a systematic literature review as this is a complex and more advanced research task. It is important to check with your lecturer or tutor if you are unsure of the requirements.

Table 20.4 Comparison of Literature Reviews

Generally, you are required to establish the main ideas that have been written on your chosen topic. You may also be expected to identify gaps in the research. A literature review does not summarise and evaluate each resource you find (this is what you would do in an annotated bibliography). You are expected to analyse and synthesise or organise common ideas from multiple texts into key themes which are relevant to your topic (see Figure 20.10 ). Use a table or a spreadsheet, if you know how, to organise the information you find. Record the full reference details of the sources as this will save you time later when compiling your reference list (see Table 20.5 ).

Overall, this chapter has provided an introduction to the types of assignments you can expect to complete at university, as well as outlined some tips and strategies with examples and templates for completing them. First, the chapter investigated essay assignments, including analytical and argumentative essays. It then examined case study assignments, followed by a discussion of the report format. Reflective writing , popular in nursing, education and human services, was also considered. Finally, the chapter briefly addressed annotated bibliographies and literature reviews. The chapter also has a selection of templates and examples throughout to enhance your understanding and improve the efficacy of your assignment writing skills.

• Not all assignments at university are the same. Understanding the requirements of different types of assignments will assist in meeting the criteria more effectively.
• There are many different types of assignments. Most will require an introduction, body paragraphs and a conclusion.
• An essay should have a clear and logical structure and use formal but reader friendly language.
• Breaking your assignment into manageable chunks makes it easier to approach.
• Effective body paragraphs contain a topic sentence.
• A case study structure is similar to an essay, but you must remember to provide examples from the case or scenario to demonstrate your points.
• The type of report you may be required to write will depend on its purpose and audience. A report requires structured writing and uses headings.
• Reflective writing is popular in many disciplines and is used to explore feelings, experiences, opinions or events to discover what learning or understanding has occurred. Reflective writing requires more than description. You need to be analytical, consider what has been learnt and evaluate the impact of this on future actions.
• Annotated bibliographies teach you to research and evaluate sources and systematically organise your notes. They may be part of a larger assignment.
• Literature reviews require you to look across the literature and analyse and synthesise the information you find into themes.

Gibbs, G. (1988). Learning by doing: A guide to teaching and learning methods. Further Education Unit, Oxford Brookes University, Oxford.

Rolfe, G., Freshwater, D., Jasper, M. (2001). Critical reflection in nursing and the helping professions: a user’s guide . Basingstoke: Palgrave Macmillan.

Ryan, M. & Ryan, M. (2013). Theorising a model for teaching and assessing reflective learning in higher education.  Higher Education Research & Development , 32(2), 244-257. doi: 10.1080/07294360.2012.661704

Academic Success Copyright © 2021 by Cristy Bartlett and Kate Derrington is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License , except where otherwise noted.

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Types of Assignments and Assessments

Assignments and assessments are much the same thing: an instructor is unlikely to give students an assignment that does not receive some sort of assessment, whether formal or informal, formative or summative; and an assessment must be assigned, whether it is an essay, case study, or final exam. When the two terms are distinquished, "assignment" tends to refer to a learning activity that is primarily intended to foster or consolidate learning, while "assessment" tends to refer to an activity that is primarily intended to measure how well a student has learned. 

In the list below, some attempt has been made to put the assignments/assessments in into logical categories. However, many of them could appear in multiple categories, so to prevent the list from becoming needlessly long, each item has been allocated to just one category. 

Written Assignments:

• Annotated Bibliography : An annotated bibliography is a list of citations or references to sources such as books, articles, websites, etc., along with brief descriptions or annotations that summarize, evaluate, and explain the content, relevance, and quality of each source. These annotations provide readers with insights into the source's content and its potential usefulness for research or reference.
• Summary/Abstract : A summary or abstract is a concise and condensed version of a longer document or research article, presenting the main points, key findings, and essential information in a clear and brief manner. It allows readers to quickly grasp the main ideas and determine whether the full document is relevant to their needs or interests. Abstracts are commonly found at the beginning of academic papers, research articles, and reports, providing a snapshot of the entire content.
• Case Analysis : Case analysis refers to a systematic examination and evaluation of a particular situation, problem, or scenario. It involves gathering relevant information, identifying key factors, analyzing various aspects, and formulating conclusions or recommendations based on the findings. Case analysis is commonly used in business, law, and other fields to make informed decisions and solve complex problems.
• Definition : A definition is a clear and concise explanation that describes the meaning of a specific term, concept, or object. It aims to provide a precise understanding of the item being defined, often by using words, phrases, or context that distinguish it from other similar or related things.
• Description of a Process : A description of a process is a step-by-step account or narrative that outlines the sequence of actions, tasks, or events involved in completing a particular activity or achieving a specific goal. Process descriptions are commonly used in various industries to document procedures, guide employees, and ensure consistent and efficient workflows.
• Executive Summary : An executive summary is a condensed version of a longer document or report that provides an overview of the main points, key findings, and major recommendations. It is typically aimed at busy executives or decision-makers who need a quick understanding of the content without delving into the full details. Executive summaries are commonly used in business proposals, project reports, and research papers to present essential information concisely.
• Proposal/Plan : A piece of writing that explains how a future problem or project will be approached.
• Laboratory or Field Notes:  Laboratory/field notes are detailed and systematic written records taken by scientists, researchers, or students during experiments, observations, or fieldwork. These notes document the procedures, observations, data, and any unexpected findings encountered during the scientific investigation. They serve as a vital reference for later analysis, replication, and communication of the research process and results.
• Research Paper : A research paper is a more extensive and in-depth academic work that involves original research, data collection from multiple sources, and analysis. It aims to contribute new insights to the existing body of knowledge on a specific subject. Compare to "essay" below.
• Essay : A composition that calls for exposition of a thesis and is composed of several paragraphs including an introduction, a body, and a conclusion. It is different from a research paper in that the synthesis of bibliographic sources is not required. Compare to "Research Paper" above. 
• Memo : A memo, short for memorandum, is a brief written message or communication used within an organization or business. It is often used to convey information, provide updates, make announcements, or request actions from colleagues or team members.
• Micro-theme : A micro-theme refers to a concise and focused piece of writing that addresses a specific topic or question. It is usually shorter than a traditional essay or research paper and requires the writer to present their ideas clearly and concisely.
• Notes on Reading : Notes on reading are annotations, comments, or summaries taken while reading a book, article, or any other written material. They serve as aids for understanding, retention, and later reference, helping the reader recall essential points and ideas from the text.
• Outline : An outline is a structured and organized plan that lays out the main points and structure of a written work, such as an essay, research paper, or presentation. It provides a roadmap for the writer, ensuring logical flow and coherence in the final piece.
• Plan for Conducting a Project : A plan for conducting a project outlines the steps, resources, timelines, and objectives for successfully completing a specific project. It includes details on how tasks will be executed and managed to achieve the desired outcomes.
• Poem : A poem is a literary work written in verse, using poetic devices like rhythm, rhyme, and imagery to convey emotions, ideas, and experiences.
• Play : A play is a form of literature written for performance, typically involving dialogue and actions by characters to tell a story or convey a message on stage.
• Choreography : Choreography refers to the art of designing dance sequences or movements, often for performances in various dance styles.
• Article/Book Review : An article or book review is a critical evaluation and analysis of a piece of writing, such as an article or a book. It typically includes a summary of the content and the reviewer's assessment of its strengths, weaknesses, and overall value.
• Review of Literature : A review of literature is a comprehensive summary and analysis of existing research and scholarly writings on a particular topic. It aims to provide an overview of the current state of knowledge in a specific field and may be a part of academic research or a standalone piece.
• Essay-based Exam : An essay-based exam is an assessment format where students are required to respond to questions or prompts with written, structured responses. It involves expressing ideas, arguments, and explanations in a coherent and organized manner, often requiring critical thinking and analysis.
• "Start" : In the context of academic writing, "start" refers to the initial phase of organizing and planning a piece of writing. It involves formulating a clear and focused thesis statement, which presents the main argument or central idea of the work, and creating an outline or list of ideas that will support and develop the thesis throughout the writing process.
• Statement of Assumptions : A statement of assumptions is a declaration or acknowledgment made at the beginning of a document or research paper, highlighting the underlying beliefs, conditions, or premises on which the work is based. It helps readers understand the foundation of the writer's perspective and the context in which the content is presented.
• Summary or Precis : A summary or precis is a concise and condensed version of a longer piece of writing, such as an article, book, or research paper. It captures the main points, key arguments, and essential information in a succinct manner, enabling readers to grasp the content without reading the full text.
• Unstructured Writing : Unstructured writing refers to the process of writing without following a specific plan, outline, or organizational structure. It allows the writer to freely explore ideas, thoughts, and creativity without the constraints of a predefined format or order. Unstructured writing is often used for brainstorming, creative expression, or personal reflection.
• Rough Draft or Freewrite : A rough draft or freewrite is an initial version of a piece of writing that is not polished or edited. It serves as an early attempt by the writer to get ideas on paper without worrying about perfection, allowing for exploration and creativity before revising and refining the final version.
• Technical or Scientific Report : A technical or scientific report is a document that presents detailed information about a specific technical or scientific project, research study, experiment, or investigation. It follows a structured format and includes sections like abstract, introduction, methods, results, discussion, and conclusion to communicate findings and insights in a clear and systematic manner.
• Journal article : A formal article reporting original research that could be submitted to an academic journal. Rather than a format dictated by the professor, the writer must use the conventional form of academic journals in the relevant discipline.
• Thesis statement : A clear and concise sentence or two that presents the main argument or central claim of an essay, research paper, or any written piece. It serves as a roadmap for the reader, outlining the writer's stance on the topic and the key points that will be discussed and supported in the rest of the work. The thesis statement provides focus and direction to the paper, guiding the writer's approach to the subject matter and helping to maintain coherence throughout the writing.

Visual Representation

• Brochure : A brochure is a printed or digital document used for advertising, providing information, or promoting a product, service, or event. It typically contains a combination of text and visuals, such as images or graphics, arranged in a visually appealing layout to convey a message effectively.
• Poster : A poster is a large printed visual display intended to catch the attention of an audience. It often contains a combination of text, images, and graphics to communicate information or promote a particular message, event, or cause.
• Chart : A chart is a visual representation of data or information using various formats such as pie charts, bar charts, line charts, or tables. It helps to illustrate relationships, trends, and comparisons in a concise and easy-to-understand manner.
• Graph : A graph is a visual representation of numerical data, usually presented using lines, bars, points, or other symbols on a coordinate plane. Graphs are commonly used to show trends, patterns, and relationships between variables.
• Concept Map : A concept map is a graphical tool used to organize and represent the connections and relationships between different concepts or ideas. It typically uses nodes or boxes to represent concepts and lines or arrows to show the connections or links between them, helping to visualize the relationships and hierarchy of ideas.
• Diagram : A diagram is a visual representation of a process, system, or structure using labeled symbols, shapes, or lines. Diagrams are used to explain complex concepts or procedures in a simplified and easy-to-understand manner.
• Table : A table is a systematic arrangement of data or information in rows and columns, allowing for easy comparison and reference. It is commonly used to present numerical data or detailed information in an organized format.
• Flowchart : A flowchart is a graphical representation of a process, workflow, or algorithm, using various shapes and arrows to show the sequence of steps or decisions involved. It helps visualize the logical flow and decision points, making it easier to understand and analyze complex processes.
• Multimedia or Slide Presentation : A multimedia or slide presentation is a visual communication tool that combines text, images, audio, video, and other media elements to deliver information or a message to an audience. It is often used for educational, business, or informational purposes and can be presented in person or virtually using software like Microsoft PowerPoint or Google Slides.
• ePortfolio : An ePortfolio, short for electronic portfolio, is a digital collection of an individual's work, accomplishments, skills, and reflections. It typically includes a variety of multimedia artifacts such as documents, presentations, videos, images, and links to showcase a person's academic, professional, or personal achievements. Eportfolios are used for self-reflection, professional development, and showcasing one's abilities to potential employers, educators, or peers. They provide a comprehensive and organized way to present evidence of learning, growth, and accomplishments over time.

Multiple-Choice Questions : These questions present a statement or question with several possible answer options, of which one or more may be correct. Test-takers must select the most appropriate choice(s). See CTE's Teaching Tip "Designing Multiple-Choice Questions."  

True or False Questions : These questions require test-takers to determine whether a given statement is true or false based on their knowledge of the subject.

Short-Answer Questions : Test-takers are asked to provide brief written responses to questions or prompts. These responses are usually a few sentences or a paragraph in length.

Essay Questions : Essay questions require test-takers to provide longer, more detailed written responses to a specific topic or question. They may involve analysis, critical thinking, and the development of coherent arguments.

Matching Questions : In matching questions, test-takers are asked to pair related items from two lists. They must correctly match the items based on their associations.

Fill-in-the-Blank Questions : Test-takers must complete sentences or passages by filling in the missing words or phrases. This type of question tests recall and understanding of specific information.

Multiple-Response Questions : Similar to multiple-choice questions, but with multiple correct options. Test-takers must select all the correct choices to receive full credit.

Diagram or Image-Based Questions : These questions require test-takers to analyze or interpret diagrams, charts, graphs, or images to answer specific queries.

Problem-Solving Questions : These questions present real-world or theoretical problems that require test-takers to apply their knowledge and skills to arrive at a solution.

Vignettes or Case-Based Questions : In these questions, test-takers are presented with a scenario or case study and must analyze the information to answer related questions.

Sequencing or Order Questions : Test-takers are asked to arrange items or events in a particular order or sequence based on their understanding of the subject matter.

Projects intended for a specific audience :

• Advertisement : An advertisement is a promotional message or communication aimed at promoting a product, service, event, or idea to a target audience. It often uses persuasive techniques, visuals, and compelling language to attract attention and encourage consumers to take specific actions, such as making a purchase or seeking more information.
• Client Report for an Agency : A client report for an agency is a formal document prepared by a service provider or agency to communicate the results, progress, or recommendations of their work to their client. It typically includes an analysis of data, achievements, challenges, and future plans related to the project or services provided.
• News or Feature Story : A news story is a journalistic piece that reports on current events or recent developments, providing objective information in a factual and unbiased manner. A feature story, on the other hand, is a more in-depth and creative piece that explores human interest topics, profiles individuals, or delves into issues from a unique perspective.
• Instructional Manual : An instructional manual is a detailed document that provides step-by-step guidance, explanations, and procedures on how to use, assemble, operate, or perform specific tasks with a product or system. It aims to help users understand and utilize the item effectively and safely.
• Letter to the Editor : A letter to the editor is a written communication submitted by a reader to a newspaper, magazine, or online publication, expressing their opinion, feedback, or comments on a particular article, topic, or issue. It is intended for publication and allows individuals to share their perspectives with a broader audience.

Problem-Solving and Analysis :

• Taxonomy : Taxonomy is the science of classification, categorization, and naming of organisms, objects, or concepts based on their characteristics, similarities, and differences. It involves creating hierarchical systems that group related items together, facilitating organization and understanding within a particular domain.
• Budget with Rationale : A budget with rationale is a financial plan that outlines projected income and expenses for a specific period, such as a month or a year. The rationale provides explanations or justifications for each budget item, explaining the purpose and reasoning behind the allocated funds.
• Case Analysis : Case analysis refers to a methodical examination of a particular situation, scenario, or problem. It involves gathering relevant data, identifying key issues, analyzing different factors, and formulating conclusions or recommendations based on the findings. Case analysis is commonly used in various fields, such as business, law, and education, to make informed decisions and solve complex problems.
• Case Study : A case study is an in-depth analysis of a specific individual, group, organization, or situation. It involves thorough research, data collection, and detailed examination to understand the context, challenges, and outcomes associated with the subject of study. Case studies are widely used in academic research and professional contexts to gain insights into real-world scenarios.
• Word Problem : A word problem is a type of mathematical or logical question presented in a contextual format using words rather than purely numerical or symbolic representations. It challenges students to apply their knowledge and problem-solving skills to real-life situations.

Collaborative Activities

• Debate : A debate is a structured discussion between two or more individuals or teams with differing viewpoints on a specific topic or issue. Participants present arguments and counterarguments to support their positions, aiming to persuade the audience and ultimately reach a resolution or conclusion. Debates are commonly used in academic settings, public forums, and formal competitions to foster critical thinking, communication skills, and understanding of diverse perspectives.
• Group Discussion : A group discussion is an interactive conversation involving several individuals who come together to exchange ideas, opinions, and information on a particular subject. The discussion is typically moderated to ensure that everyone has an opportunity to participate, and it encourages active listening, collaboration, and problem-solving. Group discussions are commonly used in educational settings, team meetings, and decision-making processes to promote dialogue and collective decision-making.
• An oral report is a form of communication in which a person or group of persons present information, findings, or ideas verbally to an audience. It involves speaking in front of others, often in a formal setting, and delivering a structured presentation that may include visual aids, such as slides or props, to support the content. Oral reports are commonly used in academic settings, business environments, and various professional settings to share knowledge, research findings, project updates, or persuasive arguments. Effective oral reports require clear organization, articulation, and engaging delivery to effectively convey the intended message to the listeners.

Planning and Organization

• Inventory : An inventory involves systematically listing and categorizing items or resources to assess their availability, quantity, and condition. In an educational context, students might conduct an inventory of books in a library, equipment in a lab, or supplies in a classroom, enhancing their organizational and data collection skills.
• Materials and Methods Plan : A materials and methods plan involves developing a structured outline or description of the materials, tools, and procedures to be used in a specific experiment, research project, or practical task. It helps learners understand the importance of proper planning and documentation in scientific and research endeavors.
• Plan for Conducting a Project : This learning activity requires students to create a detailed roadmap for executing a project. It includes defining the project's objectives, identifying tasks and timelines, allocating resources, and setting milestones to monitor progress. It enhances students' project management and organizational abilities.
• Research Proposal Addressed to a Granting Agency : A formal document requesting financial support for a research project from a granting agency or organization. The proposal outlines the research questions, objectives, methodology, budget, and potential outcomes. It familiarizes learners with the process of seeking funding and strengthens their research and persuasive writing skills.
• Mathematical Problem : A mathematical problem is a task or question that requires the application of mathematical principles, formulas, or operations to find a solution. It could involve arithmetic, algebra, geometry, calculus, or other branches of mathematics, challenging individuals to solve the problem logically and accurately.
• Question : A question is a sentence or phrase used to elicit information, seek clarification, or provoke thought from someone else. Questions can be open-ended, closed-ended, or leading, depending on their purpose, and they play a crucial role in communication, problem-solving, and learning.

More Resources

CTE Teaching Tips

• Personal Response Systems
• Designing Multiple-Choice Questions
• Aligning Outcomes, Assessments, and Instruction

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• Types of Assignments . University of Queensland.

If you would like support applying these tips to your own teaching, CTE staff members are here to help.  View the  CTE Support  page to find the most relevant staff member to contact.

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Home » Problem Statement – Writing Guide, Examples and Types

Problem Statement – Writing Guide, Examples and Types

Table of Contents

Problem Statement

Definition:

Problem statement is a clear, concise, and well-defined statement that outlines the issue or challenge that needs to be addressed. It is a crucial element in any project or research as it provides a clear understanding of the problem, its context, and its potential impact.

Types of Problem Statements

There are various types of problem statements, and the type of problem statement used depends on the context and purpose of the project or research. Some common types of problem statements are:

Business Problem Statement

Business Problem Statement identifies a problem or challenge within an organization that needs to be solved. It typically includes the impact of the problem on the organization and its stakeholders, such as customers, employees, or shareholders.

Research Problem Statement

Research Problem Statement outlines the research question or problem that the study aims to address. It describes the research objectives, the significance of the research, and the potential impact of the research findings.

Design Problem Statement

Design Problem Statement defines the problem or challenge that a design project aims to solve. It includes the user’s needs, the design constraints, and the desired outcomes of the design project.

Social Problem Statement

Social Problem Statement describes a problem or challenge in society that needs to be addressed. It typically includes the social, economic, or political impact of the problem and its effect on individuals or communities.

Technical Problem Statement

Technical Problem Statement defines a problem or challenge related to technology or engineering. It includes the technical requirements, constraints, and potential solutions to the problem.

Components of Problem Statement

The components of a problem statement may vary depending on the context and purpose of the project or research, but some common components include:

• Problem description : This component provides a clear and concise description of the problem, its context, and its impact. It should explain what the problem is, who is affected by it, and why it needs to be addressed.
• Background information : This component provides context for the problem by describing the current state of knowledge or practice related to the problem. It may include a review of relevant literature, data, or other sources of information.
• Objectives : This component outlines the specific objectives that the project or research aims to achieve. It should explain what the project or research team hopes to accomplish by addressing the problem.
• Scope : This component defines the boundaries of the problem by specifying what is included and excluded from the problem statement. It should clarify the limits of the project or research and ensure that the team remains focused on the core problem.
• Methodology : This component outlines the approach or methodology that the project or research team will use to address the problem. It may include details about data collection, analysis, or other methods used to achieve the objectives.
• Expected outcomes : This component describes the potential impact or outcomes that the project or research aims to achieve. It should explain how the solution or findings will address the problem and benefit the stakeholders.

How to write Problem Statement

Here are some general steps to follow when writing a problem statement:

• Identify the problem : Clearly identify the problem that needs to be addressed. Consider the context, stakeholders, and potential consequences of the problem.
• Research the problem: Conduct research to gather data and information about the problem. This may involve reviewing literature, analyzing data, or consulting with experts.
• Define the problem: Define the problem clearly and concisely, using specific language and avoiding vague or ambiguous terms. Be sure to include the impact of the problem and the context in which it occurs.
• State the objectives : Clearly state the objectives that the project or research aims to achieve. This should be specific and measurable, with clear outcomes that can be evaluated.
• Identify the scope: Identify the boundaries of the problem, including what is included and excluded from the problem statement. This helps to ensure that the team remains focused on the core problem.
• Outline the methodology : Outline the approach or methodology that the project or research team will use to address the problem. This should be based on research and best practices, and should be feasible and realistic.
• Describe the expected outcomes : Describe the potential impact or outcomes that the project or research aims to achieve. Be specific about how the solution or findings will address the problem and benefit the stakeholders.
• Revise and refine : Review the problem statement and revise it as needed to ensure clarity, accuracy, and completeness.

Applications of Problem Statement

Here are some of the applications of problem statements:

• Research : In academic research, problem statements are used to clearly define the research problem, identify the research question, and justify the need for the study. A well-crafted problem statement is essential for the success of any research project.
• Project management: In project management, problem statements are used to identify the issues or challenges that a project team needs to address. Problem statements help project managers to define project scope, set project goals, and develop project plans.
• Business strategy: In business strategy, problem statements are used to identify business challenges and opportunities. Problem statements help businesses to define their strategic objectives, develop action plans, and allocate resources.
• Product development : In product development, problem statements are used to identify customer needs and develop new products that address those needs. Problem statements help product developers to define product requirements, develop product features, and test product prototypes.
• Policy-making: In public policy-making, problem statements are used to identify social, economic, and environmental issues that require government intervention. Problem statements help policymakers to define policy objectives, develop policy options, and evaluate policy outcomes.

Examples of Problem Statements

Examples of Problem Statements are as follows:

• High student-to-teacher ratios are leading to decreased individualized attention and lower academic achievement.
• Limited funding for extracurricular activities is limiting opportunities for student development and engagement.
• The lack of diversity and inclusion in curriculum is limiting cultural understanding and perpetuating inequalities.
• The need for continuous professional development for teachers is crucial to improving teaching quality and student outcomes.
• Unequal access to education due to socio-economic status, geographical location, or other factors is contributing to disparities in academic achievement.
• The shortage of healthcare professionals is leading to increased patient wait times and decreased quality of care.
• Limited access to mental health services is contributing to the high prevalence of mental health issues and suicides.
• The over-prescription of opioids is contributing to the current opioid epidemic and increasing rates of addiction and overdose.
• Limited access to affordable and nutritious food is leading to poor nutrition and increased rates of chronic diseases.
• The lack of standardized electronic health record systems is limiting coordination of care and leading to medical errors.

Environmental Science

• Pollution from industrial and agricultural practices is contributing to climate change and increased health risks.
• The overexploitation of natural resources is leading to decreased biodiversity and ecological imbalance.
• Limited access to clean water is leading to health issues and affecting agriculture and economic development.
• The destruction of natural habitats is leading to the extinction of many species and disrupting ecosystems.
• Climate change is leading to more frequent and severe natural disasters, causing significant damage to infrastructure and displacement of populations.

Engineering

• The inadequate design and maintenance of bridges and roads is leading to increased accidents and fatalities.
• The lack of reliable and sustainable energy sources is contributing to environmental degradation and limiting economic growth.
• The lack of cybersecurity measures in critical infrastructure is making it vulnerable to cyber attacks and compromising public safety.
• The lack of efficient waste management systems is contributing to pollution and environmental degradation.
• The need for developing technologies that are environmentally friendly and sustainable is crucial to addressing climate change.

Social Work

• The lack of resources for mental health and social services is contributing to homelessness and the need for emergency assistance.
• The high prevalence of child abuse and neglect is leading to long-term physical and emotional harm to children.
• The lack of affordable and accessible childcare is limiting the opportunities for working parents, especially mothers.
• The stigmatization of mental health issues is limiting access to mental health services and perpetuating discrimination.
• The limited access to education, employment, and housing opportunities is contributing to poverty and social inequality.
• The increasing use of ad-blocking software is limiting the effectiveness of traditional digital advertising.
• The lack of transparency in digital advertising is leading to ad fraud and decreased trust in online marketing.
• The need to adapt marketing strategies to changing consumer behaviors and preferences is crucial to reaching target audiences effectively.
• The high competition in the marketplace is making it challenging for small businesses to compete with larger corporations.
• The need to balance marketing goals with ethical considerations is crucial to maintaining consumer trust and avoiding negative publicity.
• The high prevalence of anxiety and depression is leading to decreased productivity and increased healthcare costs.
• The limited access to mental health services in certain geographic areas is limiting access to care and contributing to disparities in mental health outcomes.
• The need for effective prevention and intervention programs for substance abuse and addiction is crucial to reducing rates of addiction and overdose.
• The lack of awareness and understanding of mental health issues is perpetuating stigma and limiting access to care.
• The need for culturally sensitive mental health services that are tailored to the needs of diverse populations is crucial to improving mental health outcomes.

Purpose of Problem Statement

The purpose of a problem statement is to clearly and concisely describe a specific problem or issue that needs to be addressed. It serves as a clear and succinct explanation of the problem, its context, and its importance, providing the necessary information to understand why the problem is worth solving. A well-crafted problem statement also helps to define the scope of the problem, which in turn helps to guide the research or problem-solving process. In essence, a problem statement sets the stage for identifying potential solutions and determining the best approach to solve the problem.

Characteristics of Problem Statement

The characteristics of a good problem statement include:

• Clear and concise : A problem statement should be written in clear and concise language, free of technical jargon, and easily understandable to the intended audience.
• Specific : The statement should clearly define the problem and its scope. It should identify the who, what, where, when, and why of the problem.
• Measurable : A problem statement should be measurable in some way, whether through quantitative or qualitative methods. This allows for objective assessment of progress towards solving the problem.
• Relevant : The problem statement should be relevant to the context in which it is presented. It should relate to the needs and concerns of stakeholders and the broader community.
• Feasible : The problem statement should be realistic and achievable, given the available resources and constraints.
• Innovative: A good problem statement should inspire creative and innovative solutions.
• Actionable : The problem statement should lead to actionable steps that can be taken to address the problem. It should provide a roadmap for moving forward.

Advantages of Problem Statement

Advantages of Problem Statement are as follows:

• Focus : A problem statement helps to clearly define the problem at hand and provides focus to the problem-solving process. It helps to avoid wasting time and resources on issues that are not relevant.
• Alignment : A well-written problem statement ensures that everyone involved in the problem-solving process is on the same page and understands the issue at hand. This alignment helps to ensure that efforts are focused in the right direction and that everyone is working towards the same goal.
• Clarity : A problem statement provides clarity about the nature of the problem and its impact. This clarity helps to facilitate communication and decision-making, making it easier to develop effective solutions.
• Innovation : A well-crafted problem statement can inspire creativity and encourage innovative thinking. By clearly defining the problem, it can help to identify new approaches and solutions that may not have been considered before.
• Measurability : A problem statement that is clear and specific can be used to measure progress and success. It helps to ensure that efforts are focused on addressing the root cause of the problem and that progress towards a solution can be tracked and evaluated.

Limitations of Problem Statement

While problem statements have many advantages, they also have some limitations, such as:

• Limited Scope: A problem statement is usually focused on a specific issue or challenge. As a result, it may not capture the full complexity of a larger problem, which can limit the effectiveness of the solutions developed.
• Lack of Detail : In some cases, problem statements may be too broad or lack sufficient detail, which can make it difficult to develop effective solutions. It’s important to ensure that the problem statement is specific enough to guide the problem-solving process.
• Bias : The way in which a problem statement is written can sometimes reflect the biases or assumptions of the person or group writing it. This can lead to a narrow or incomplete understanding of the problem and limit the effectiveness of the solutions developed.
• Inflexibility : A problem statement may be too rigid or inflexible, which can limit the exploration of alternative solutions. It’s important to keep an open mind and be willing to adapt the problem statement as new information or perspectives emerge.

About the author

Muhammad Hassan

Researcher, Academic Writer, Web developer

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Writing Guide: Types of Assignments & Best Practices

• Home & Appointments
• Types of Assignments & Best Practices
• Tables & Figures
• Thesis & Project Guide

The most common types of writing assignments you will encounter at MLTS

• How to approach a writing assignment
• Expository writing & research papers
• Compare & Contrast paper
• Book & Literature Reviews
• Reflective writing
• Online discussion posts
• Thesis/Project

As a graduate student, you will be assigned a variety of types of writing projects.  A good rule of thumb in approaching any writing project is to ask yourself: for whom am I writing and why?  Or, who is my audience and what do they expect from my writing?  Your assignments will almost invariably require you to make one or more arguments.   A good argument is well-written, logical, and supported by evidence.

Expository writing involves understanding, explaining, analyzing, and/or evaluating a topic.  It includes your standard graduate school essay, book review, or research paper where your instructor requires you to analyze and/or study a topic.  In general, your audience for such assignments will be your course instructor. You can think of such writing assignments as your instructor asking you to make an argument.  Your instructor wants to gauge your creative thinking skills and how well you understand the course material by seeing how well you can make an argument related to that material.  Remember: a good argument is well-written, logical, and supported by evidence.

An expository paper is therefore not about you (at least not directly); it is about the facts you have learned and researched and the argument you have built from those facts. Therefore, unless you are quoting someone, you should avoid using first person pronouns (the words I, me, my, we, us, our ) in your writing.  Let your facts and arguments speak for themselves instead of beginning statements with "I think" or "I believe."

A compare & contrast assignment is a type of expository & research paper assignment.  It is important to organize your writing around the themes you are comparing & contrasting.  If, for example, you are assigned to compare & contrast, say, Augustine's Confessions and The Autobiography of Malcolm X , a common mistake students make is to write the first part of their essay strictly about Augustine's Confessions , and the second part of the essay strictly about The Autobiography of Malcolm X .  In a good compare & contrast essay, you instead explore an issue in every paragraph or two, and show how, in this case, both Augustine & Malcolm X share common ground or differ on that issue.  Then, move onto another issue and show how both Augustne and Malcolm X covered it.

Unless your instructor directs you otherwise, you should not use first person pronouns ( I, me, my ) in such a paper.

A book review assignment is meant to be an analysis of a book, not a chapter-by-chapter summary of a book.  Instead of organizing your paper sequentially (the first paragraph is about chapter 1, the second paragraph is about chapter 2, etc.), organize your paragraphs around the themes of the book that are thread throughout the book.  Topics to consider in a book review include (but are not limited to):

• What are the author's arguments, and how successful is she in making those arguments?
• What sort of sources does the author utilize?
• What methodology/methodologies does the author utilize?
• What are the strengths and weaknesses of the book?

A literature review is similar to a book review assignment in that it is meant to be an analysis of a theme or themes across several books/articles.   What have various authors written about your topic?   That said, as you will typically have less space to talk about each work (perhaps a paragraph or less for each work as opposed to multiple pages), you might end up moving from one author's findings to another.  For a literature review in a thesis, think of a literature review as a mini-essay within your broader thesis with its own mini-introduction, thesis statement, and conclusion.

Unless your instructor directs you otherwise, book reviews and literature reviews should be written like expository & research papers.  In particular, you should not use first person pronouns ( I, me, my ).  So, instead of writing: "I think this book is a good analysis of ___," write: "This book is a good analysis of ___."

Reflective essays are especially common in theology courses.  Reflective writing requires that you explicitly write about yourself and your own views.  To put it another way, you typically have two audiences to write for in such an assignment: your instructor and yourself.   As such, and unlike a standard expository paper, such essays require you to write about yourself using first person pronouns ( I, me, my) and use statements like “I think” and “I believe.”  Otherwise, a reflective essay shares a lot with expository writing.  You are still making arguments, and you still need evidence from cited sources!  Unless your instructor tells you otherwise, you should still include a good title, introduction paragraph, thesis statement, conclusion, and bibliography.

For online courses, you will likely have to take part in classroom or group discussions online, in which you will be encouraged or even required to respond to your classmates.  Such writing assignments often include a reflective element. Discussion posts are almost always shorter than essays and as such may not need long introductions or conclusions.  That said, a discussion post is not like a Facebook or social media post!  Good discussion posts are long and well-written enough to convey one or more thoughtful, insightful observations; you cannot just "like" someone else's post or only write "Good job!"  If you decide to challenge or critique a classmate’s post—and you are certainly encouraged to do so!—you should do so in a respectful and constructive manner.   As your main audience for online discussions are your own classmates and, to a lesser extent, your instructor, it is often okay to use relatively more informal language and to refer to yourself using first person pronouns ( I, me, my ).  Finally, as with reflective essays, discussion posts still benefit from evidence.  Even if a discussion post is relatively less formal than an essay, if you quote, paraphrase, or draw ideas from outside sources, you still must cite them!  If the online medium does not allow for footnotes, use parenthetical references for citations (see chapter 19 of Turabian).

Those of you taking preaching courses or earning a DMin degree will have to write and submit your sermons. On one hand, your main audience for such a writing assignment is the congregation to whom you may preach.  The language, tone, message, level of detail, etc. of a good sermon will depend on the precise context of your congregation and the message you want to impart.  Therefore, unlike an expository essay or a reflective essay, you have a lot more freedom in how you chose to organize your sermon, as well as how formal or not you want the language to be.

On the other hand, in submitting such assignments, you also have a secondary audience: your instructor.  As such, you may still need to include citations, even if you would not read them out loud in your sermon.  In submitting a sermon as an assignment, you may also need to include some sort of write up or commentary, which your instructor may require to be expository and/or reflective in nature.

Those of you earning an MAR or DMin will finish your coursework by proposing, researching, writing, and defending a thesis or project.   A thesis/project should be an original contribution to your field of study.  To put it another way, the audience for your thesis/project is not just your advisor, but the broader academic and/or ministerial community.   A good thesis/project can go on to become the first draft of a published academic journal article or a chapter or two of a book.  Your thesis/project should be largely expository, but it may also include reflective sections.

It is never too early to start thinking about what you want to do for your thesis/project! You can try to make your thesis/project writing process easier by writing your course papers on topics within or adjacent to what you think you want to do for your thesis/project; that said, if you do so, you will need to cite these earlier works in your final thesis.   See our citation guide for help with that.

For more information on writing a thesis or project, from choosing a topic to submitting it, check out our Thesis & Project Guide .

Tips for Composing Good Academic Prose

• Proofread, proofread, proofread!
• Find evidence to support your thesis statement from good quality sources
• Use quotations as evidence, not filler
• Be careful not to turn long sentences into run-on sentences
• Relatively longer paragraphs are generally better than short ones
• Make sure your paper flows well from one idea to the next
• When possible, avoid using the passive voice
• Be precise and crystal-clear in your statements and arguments
• Use the present tense when paraphrasing an author or setting up a quotation
• Use repetition of words carefully

First and most importantly: Proofread your paper over before you submit it to make sure that it reads well and is without errors!  Read your paper over as you are writing it.  Check over your work with spell check.  Before you submit it, read it over one last time to catch anything you missed.  If possible, consider reading the work out loud: you will be more likely to spot problems in your writing than if you read it in your head.  If you are able to do so, ask a friend or schedule an appointment with the Writing Center for a review.  Another pair of eyes can often spot a mistake or problem that the writer has overlooked.

Find evidence to support your thesis from good quality sources.   Your research and writing should be based on the study of reputable primary and secondary sources.  Typically, this means books published by academic presses and academic journal articles.  Wikipedia, YouTube, random websites, and dictionary entries are generally not considered to be good sources for academic writing, although there are instances when it is acceptable to use and cite them, like if you were researching how topics in Black theology are represented or misrepresented on Wikipedia.  If you need help in finding good resources for your paper, consult a librarian.

Quotations are meant to be evidence to support your argument; they are not filler to meet a length requirement.   While you must quote and paraphrase sources, you should not quote or paraphrase more than you need.  When possible, consider paraphrasing over quoting.  Keep in mind that your writing assignments are supposed to showcase your thinking and writing, not the thinking and writing of whoever you are citing.

Be careful not to turn long sentences into run-on sentences.   Long sentences are not always bad: when well-written, a long sentence can read better and help convey complex ideas better than a series of short sentences.  A run-on sentence, on the other hand, occurs when multiple sentences are inappropriately lumped into a single sentence.  Therefore, when reading your paper over, keep an eye out for any sentence that you can break into multiple sentences.

Relatively longer paragraphs are generally better than short ones.   If your paragraph is three sentences or less, consider if you can write more about that paragraph's topic or incorporate it into another paragraph.  If a paragraph represents one idea, then a longer paragraph typically shows that you have better considered and flushed out that idea.  That said, if your paragraph is longer than a page, you could probably shorten it or break it into two paragraphs.

Make sure your paper flows well from one idea to the next.   Does your third paragraph make sense following your second paragraph?  Do you drop ideas and only pick them up much later?  Cut and paste sentences and paragraphs around as necessary.

When possible, avoid using the passive voice.   This can be tricky!  The passive voice is when you use the verb “to be” next to and in conjunction with another verb to make the object of the sentence into the subject.  For example, compare the active sentence: “Kate Turabian wrote the book” to its passive equivalent: “The book was written by Kate Turabian.”  Grammatically speaking, in the latter, passive sentence, "The book" is the subject, even though in a real world active sense, it is the object.

Writers consider passive sentences not as good because, like in the above example, they can be wordier than necessary and take the focus off the real subject. There are exceptions in which it is good to use the passive voice. For example, if you were writing an article about Kate Turabian, it would be better to write: “Kate Turabian was born in 1893” instead of “Kate Turabian’s mother gave birth to her in 1893.”  The former sentence keeps Kate Turabian, the focus of the paper, as the subject, while the latter sounds a little weird (maybe English speakers are too squeamish, but we typically do not recount someone's birth in that way).

At its worst, the passive voice can obscure the subject and make facts unclear. Consider the sentence: "Jackie Robinson's signing with the Brooklyn Dodgers in 1946 was considered a crucial moment in the Civil Rights movement." With the passive voice, the reader does not know who exactly considered that so?  Did all Americans in 1946 think this?  Did some specific people come to recognize it later?  Compare that sentence to: "Martin Luther King, Jr. considered Jackie Robinson's signing with the Brooklyn Dodgers in 1946 a crucial moment in the Civil Rights movement."

Be precise and crystal-clear in your statements and arguments.   Similar to how the passive voice can make facts unclear, overly general language can make for weak arguments.  Consider the argument: "Many people now support same-sex marriage."  Many people?  Which people?  "Many" and "people" are very general terms and do not tell us much in this statement; the more specific you can be, the better your argument:

• Despite official church statements, many American Catholics now support same-sex marriage.
• [Specific number]% of Chicagoans now support same-sex marriage.
• Many South African theologians, including [so-and-so] and [so-and so], now support same-sex marriage.

In general, use the present tense when paraphrasing an author or setting up a quotation.  While you should use the past tense when writing about events in the past, you should in general use the present tense when discussing a scholar's writing.  Scholarship is a ongoing discussion.  When you read and discuss an author's work, that author is making an argument right now in the present, even if she is dead.  So, do not write:

   Carl Jung wrote: "The psyche...    Carl Jung said, "The psyche...    Carl Jung argued that...

but instead:

   Carl Jung writes: "The psyche...    Carl Jung says, "The psyche...    Carl Jung argues that...

Use repetition of words carefully.   When done well, repeating words can sound good and emphasize ideas.  When done poorly, repetition sounds monotonous. Avoid, for example, starting too many sentences or paragraphs with the same word, or overutilizing the same verb.  If you need help in bringing variety to your word choices, purchase a thesaurus or check out thesaurus.com .

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4.3: Types of Assignments

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• Ana Stevenson
• James Cook University via James Cook University

Introduction

As discussed in the previous chapter, assignments are a common method of assessment at university. You may encounter many assignments over your years of study, yet some will look quite different from others. By recognising different types of assignments and understanding the purpose of the task, you can direct your writing skills effectively to meet task requirements. This chapter draws on the skills from the previous chapter, and extends the discussion, showing you where to aim with different types of assignments.

The chapter begins by exploring the popular essay assignment, with its two common categories, analytical and argumentative essays. It then examines assignments requiring case study responses , as often encountered in fields such as health or business. This is followed by a discussion of assignments seeking a report (such as a scientific report) and reflective writing assignments, which are common in nursing, education, and human services. The chapter concludes with an examination of annotated bibliographies and literature reviews. The chapter also has a selection of templates and examples throughout to enhance your understanding and improve the efficacy of your assignment writing skills.

Different Types of Written Assignments

At university, an essay is a common form of assessment. In the previous chapter Writing Assignments, we discussed what was meant by showing academic writing in your assignments. It is important that you consider these aspects of structure, tone, and language when writing an essay.

Components of an essay

Essays should use formal but reader-friendly language and have a clear and logical structure. They must include research from credible academic sources such as peer reviewed journal articles and textbooks. This research should be referenced throughout your essay to support your ideas (see the chapter Working with Information).

If you have never written an essay before, you may feel unsure about how to start. Breaking your essay into sections and allocating words accordingly will make this process more manageable and will make planning the overall essay structure much easier.

• An essay requires an introduction, body paragraphs, and a conclusion.
• Generally, an introduction and conclusion are each approximately 10% of the total word count.
• The remaining words can then be divided into sections and a paragraph allowed for each area of content you need to cover.
• Use your task and criteria sheet to decide what content needs to be in your plan

An effective essay introduction needs to inform your reader by doing four basic things:

An effective essay body paragraph needs to:

An effective essay conclusion needs to:

Common types of essays

You may be required to write different types of essays, depending on your study area and topic. Two of the most commonly used essays are analytical and argumentative . The task analysis process discussed in the previous chapter Writing Assignments will help you determine the type of essay required. For example, if your assignment question uses task words such as analyse, examine, discuss, determine, or explore, then you would be writing an analytical essay . If your assignment question has task words such as argue, evaluate, justify, or assess, then you would be writing an argumentative essay . Regardless of the type of essay, your ability to analyse and think critically is important and common across genres.

Analytical essays

These essays usually provide some background description of the relevant theory, situation, problem, case, image, etcetera that is your topic. Being analytical requires you to look carefully at various components or sections of your topic in a methodical and logical way to create understanding.

The purpose of the analytical essay is to demonstrate your ability to examine the topic thoroughly. This requires you to go deeper than description by considering different sides of the situation, comparing and contrasting a variety of theories and the positives and negatives of the topic. Although your position on the topic may be clear in an analytical essay, it is not necessarily a requirement that you explicitly identify this with a thesis statement. In an argumentative essay, however, it is necessary that you explicitly identify your position on the topic with a thesis statement. If you are unsure whether you are required to take a position, and provide a thesis statement, it is best to check with your tutor.

Argumentative essays

These essays require you to take a position on the assignment topic. This is expressed through your thesis statement in your introduction. You must then present and develop your arguments throughout the body of your assignment using logically structured paragraphs. Each of these paragraphs needs a topic sentence that relates to the thesis statement. In an argumentative essay, you must reach a conclusion based on the evidence you have presented.

Case study responses

Case studies are a common form of assignment in many study areas and students can underperform in this genre for a number of key reasons.

Students typically lose marks for not:

• Relating their answer sufficiently to the case details.
• Applying critical thinking.
• Writing with clear structure.
• Using appropriate or sufficient sources.
• Using accurate referencing.

When structuring your response to a case study, remember to refer to the case. Structure your paragraphs similarly to an essay paragraph structure, but include examples and data from the case as additional evidence to support your points (see Figure 68). The colours in the sample paragraph below show the function of each component.

The Nursing and Midwifery Board of Australia (NMBA) Code of Conduct and Nursing Standards (2018) play a crucial role in determining the scope of practice for nurses and midwives. A key component discussed in the code is the provision of person-centred care and the formation of therapeutic relationships between nurses and patients (NMBA, 2018). This ensures patient safety and promotes health and wellbeing (NMBA, 2018). The standards also discuss the importance of partnership and shared decision-making in the delivery of care (NMBA, 2018, 4). Boyd and Dare (2014) argue that good communication skills are vital for building therapeutic relationships and trust between patients and care givers. This will help ensure the patient is treated with dignity and respect and improve their overall hospital experience. In the case, the therapeutic relationship with the client has been compromised in several ways. Firstly, the nurse did not conform adequately to the guidelines for seeking informed consent before performing the examination as outlined in principle 2.3 (NMBA, 2018). Although she explained the procedure, she failed to give the patient appropriate choices regarding her health care.

Topic sentence | Explanations using paraphrased evidence including in-text references | Critical thinking (asks the so what? question to demonstrate your student voice). | Relating the theory back to the specifics of the case. The case becomes a source of examples as extra evidence to support the points you are making.

Reports are a common form of assessment at university and are also used widely in many professions. It is a common form of writing in business, government, scientific, and technical occupations.

Reports can take many different structures. A report is normally written to present information in a structured manner, which may include explaining laboratory experiments, technical information, or a business case. Reports may be written for different audiences, including clients, your manager, technical staff, or senior leadership within an organisation. The structure of reports can vary, and it is important to consider what format is required. The choice of structure will depend upon professional requirements and the ultimate aims of the report. Consider some of the options in the table below (see Table 18.2).

Reflective writing

Reflective writing is a popular method of assessment at university. It is used to help you explore feelings, experiences, opinions, events, or new information to gain a clearer and deeper understanding of your learning.

A reflective writing task requires more than a description or summary. It requires you to analyse a situation, problem or experience, consider what you may have learnt, and evaluate how this may impact your thinking and actions in the future. This requires critical thinking, analysis, and usually the application of good quality research, to demonstrate your understanding or learning from a situation.

Essentially, reflective practice is the process of looking back on past experiences and engaging with them in a thoughtful way and drawing conclusions to inform future experiences. The reflection skills you develop at university will be vital in the workplace to assist you to use feedback for growth and continuous improvement. There are numerous models of reflective writing and you should refer to your subject guidelines for your expected format. If there is no specific framework, a simple model to help frame your thinking is What? So what? Now what? (Rolfe et al., 2001).

The Gibbs’ Reflective Cycle

The Gibbs’ Cycle of reflection encourages you to consider your feelings as part of the reflective process. There are six specific steps to work through. Following this model carefully and being clear of the requirements of each stage, will help you focus your thinking and reflect more deeply. This model is popular in Health.

The 4 R’s of reflective thinking

This model (Ryan and Ryan, 2013) was designed specifically for university students engaged in experiential learning. Experiential learning includes any ‘real-world’ activities, including practice led activities, placements, and internships. Experiential learning, and the use of reflective practice to heighten this learning, is common in Creative Arts, Health, and Education.

Annotated bibliography

What is it.

An annotated bibliography is an alphabetical list of appropriate sources (e.g. books, journal articles, or websites) on a topic, accompanied by a brief summary, evaluation, and sometimes an explanation or reflection on their usefulness or relevance to your topic. Its purpose is to teach you to research carefully, evaluate sources and systematically organise your notes. An annotated bibliography may be one part of a larger assessment item or a stand-alone assessment item. Check your task guidelines for the number of sources you are required to annotate and the word limit for each entry.

How do I know what to include?

When choosing sources for your annotated bibliography, it is important to determine:

• The topic you are investigating and if there is a specific question to answer.
• The type of sources on which you need to focus.
• Whether these sources are reputable and of high quality.

What do I say?

Important considerations include:

• Is the work current?
• Is the work relevant to your topic?
• Is the author credible/reliable?
• Is there any author bias?
• The strength and limitations (this may include an evaluation of research methodology).

Literature reviews

Generally, a literature review requires that you review the scholarly literature and establish the main ideas that have been written about your chosen topic. A literature review does not summarise and evaluate each resource you find (this is what you would do in an annotated bibliography). You are expected to analyse and synthesise or organise common ideas from multiple texts into key themes which are relevant to your topic (see Figure 18.10). You may also be expected to identify gaps in the research.

It is easy to get confused by the terminology used for literature reviews. Some tasks may be described as a systematic literature review when actually the requirement is simpler; to review the literature on the topic but do it in a systematic way. There is a distinct difference (see Table 15.4). As a commencing undergraduate student, it is unlikely you would be expected to complete a systematic literature review as this is a complex and more advanced research task. It is important to check with your lecturer or tutor if you are unsure of the requirements.

When conducting a literature review, use a table or a spreadsheet, if you know how, to organise the information you find. Record the full reference details of the sources as this will save you time later when compiling your reference list (see Table 18.5).

Overall, this chapter has provided an introduction to the types of assignments you can expect to complete at university, as well as outlined some tips and strategies with examples and templates for completing them. First, the chapter investigated essay assignments, including analytical and argumentative essays. It then examined case study assignments, followed by a discussion of the report format. Reflective writing , popular in nursing, education, and human services, was also considered. Finally, the chapter briefly addressed annotated bibliographies and literature reviews. The chapter also has a selection of templates and examples throughout to enhance your understanding and improve the efficacy of your assignment writing skills.

• Not all assignments at university are the same. Understanding the requirements of different types of assignments will assist in meeting the criteria more effectively.
• There are many different types of assignments. Most will require an introduction, body paragraphs, and a conclusion.
• An essay should have a clear and logical structure and use formal but reader-friendly language.
• Breaking your assignment into manageable chunks makes it easier to approach.
• Effective body paragraphs contain a topic sentence.
• A case study structure is similar to an essay, but you must remember to provide examples from the case or scenario to demonstrate your points.
• The type of report you may be required to write will depend on its purpose and audience. A report requires structured writing and uses headings.
• Reflective writing is popular in many disciplines and is used to explore feelings, experiences, opinions, or events to discover what learning or understanding has occurred. Reflective writing requires more than description. You need to be analytical, consider what has been learnt, and evaluate the impact of this on future actions.
• Annotated bibliographies teach you to research and evaluate sources and systematically organise your notes. They may be part of a larger assignment.
• Literature reviews require you to look across the literature and analyse and synthesise the information you find into themes.

Gibbs, G. (1988). Learning by doing: A guide to teaching and learning methods. Further Education Unit, Oxford Brookes University.

Rolfe, G., Freshwater, D., Jasper, M. (2001). Critical reflection in nursing and the helping professions: A user’s guide . Palgrave Macmillan.

Ryan, M. & Ryan, M. (2013). Theorising a model for teaching and assessing reflective learning in higher education. Higher Education Research & Development , 32(2), 244-257. https://doi.org/10.1080/07294360.2012.661704