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)

Fig 1-assigment model intro

  • 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

what is the objective of an assignment model

→ 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.

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Assignment Problem: Meaning, Methods and Variations | Operations Research

what is the objective of an assignment model

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:

what is the objective of an assignment model

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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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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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what is the objective of an assignment model

The assignment problem revisited

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

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  • 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 in linear programming : introduction and assignment model.

what is the objective of an assignment model

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Assignment problem is a special type of linear programming problem which deals with the allocation of the various resources to the various activities on one to one basis. It does it in such a way that the cost or time involved in the process is minimum and profit or sale is maximum. Though there problems can be solved by simplex method or by transportation method but assignment model gives a simpler approach for these problems.

In a factory, a supervisor may have six workers available and six jobs to fire. He will have to take decision regarding which job should be given to which worker. Problem forms one to one basis. This is an assignment problem.

1. Assignment Model :

Suppose there are n facilitates and n jobs it is clear that in this case, there will be n assignments. Each facility or say worker can perform each job, one at a time. But there should be certain procedure by which assignment should be made so that the profit is maximized or the cost or time is minimized.

job of Work

In the table, Co ij is defined as the cost when j th job is assigned to i th worker. It maybe noted here that this is a special case of transportation problem when the number of rows is equal to number of columns.

Mathematical Formulation:

Any basic feasible solution of an Assignment problem consists (2n – 1) variables of which the (n – 1) variables are zero, n is number of jobs or number of facilities. Due to this high degeneracy, if we solve the problem by usual transportation method, it will be a complex and time consuming work. Thus a separate technique is derived for it. Before going to the absolute method it is very important to formulate the problem.

Suppose x jj is a variable which is defined as

1 if the i th job is assigned to j th machine or facility

0 if the i th job is not assigned to j th machine or facility.

Now as the problem forms one to one basis or one job is to be assigned to one facility or machine.

Assignment Model

The total assignment cost will be given by

clip_image005

The above definition can be developed into mathematical model as follows:

Determine x ij > 0 (i, j = 1,2, 3…n) in order to

Assignment Model

Subjected to constraints

Assignment Model

and x ij is either zero or one.

Method to solve Problem (Hungarian Technique):

Consider the objective function of minimization type. Following steps are involved in solving this Assignment problem,

1. Locate the smallest cost element in each row of the given cost table starting with the first row. Now, this smallest element is subtracted form each element of that row. So, we will be getting at least one zero in each row of this new table.

2. Having constructed the table (as by step-1) take the columns of the table. Starting from first column locate the smallest cost element in each column. Now subtract this smallest element from each element of that column. Having performed the step 1 and step 2, we will be getting at least one zero in each column in the reduced cost table.

3. Now, the assignments are made for the reduced table in following manner.

(i) Rows are examined successively, until the row with exactly single (one) zero is found. Assignment is made to this single zero by putting square □ around it and in the corresponding column, all other zeros are crossed out (x) because these will not be used to make any other assignment in this column. Step is conducted for each row.

(ii) Step 3 (i) in now performed on the columns as follow:- columns are examined successively till a column with exactly one zero is found. Now , assignment is made to this single zero by putting the square around it and at the same time, all other zeros in the corresponding rows are crossed out (x) step is conducted for each column.

(iii) Step 3, (i) and 3 (ii) are repeated till all the zeros are either marked or crossed out. Now, if the number of marked zeros or the assignments made are equal to number of rows or columns, optimum solution has been achieved. There will be exactly single assignment in each or columns without any assignment. In this case, we will go to step 4.

4. At this stage, draw the minimum number of lines (horizontal and vertical) necessary to cover all zeros in the matrix obtained in step 3, Following procedure is adopted:

(iii) Now tick mark all the rows that are not already marked and that have assignment in the marked columns.

(iv) All the steps i.e. (4(i), 4(ii), 4(iii) are repeated until no more rows or columns can be marked.

(v) Now draw straight lines which pass through all the un marked rows and marked columns. It can also be noticed that in an n x n matrix, always less than ‘n’ lines will cover all the zeros if there is no solution among them.

5. In step 4, if the number of lines drawn are equal to n or the number of rows, then it is the optimum solution if not, then go to step 6.

6. Select the smallest element among all the uncovered elements. Now, this element is subtracted from all the uncovered elements and added to the element which lies at the intersection of two lines. This is the matrix for fresh assignments.

7. Repeat the procedure from step (3) until the number of assignments becomes equal to the number of rows or number of columns.

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  • Two Phase Methods of Problem Solving in Linear Programming: First and Second Phase
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Solving Assignment Problem using Linear Programming in Python

Learn how to use Python PuLP to solve Assignment problems using Linear Programming.

In earlier articles, we have seen various applications of Linear programming such as transportation, transshipment problem, Cargo Loading problem, and shift-scheduling problem. Now In this tutorial, we will focus on another model that comes under the class of linear programming model known as the Assignment problem. Its objective function is similar to transportation problems. Here we minimize the objective function time or cost of manufacturing the products by allocating one job to one machine.

If we want to solve the maximization problem assignment problem then we subtract all the elements of the matrix from the highest element in the matrix or multiply the entire matrix by –1 and continue with the procedure. For solving the assignment problem, we use the Assignment technique or Hungarian method, or Flood’s technique.

The transportation problem is a special case of the linear programming model and the assignment problem is a special case of transportation problem, therefore it is also a special case of the linear programming problem.

In this tutorial, we are going to cover the following topics:

Assignment Problem

A problem that requires pairing two sets of items given a set of paired costs or profit in such a way that the total cost of the pairings is minimized or maximized. The assignment problem is a special case of linear programming.

For example, an operation manager needs to assign four jobs to four machines. The project manager needs to assign four projects to four staff members. Similarly, the marketing manager needs to assign the 4 salespersons to 4 territories. The manager’s goal is to minimize the total time or cost.

Problem Formulation

A manager has prepared a table that shows the cost of performing each of four jobs by each of four employees. The manager has stated his goal is to develop a set of job assignments that will minimize the total cost of getting all 4 jobs.  

Assignment Problem

Initialize LP Model

In this step, we will import all the classes and functions of pulp module and create a Minimization LP problem using LpProblem class.

Define Decision Variable

In this step, we will define the decision variables. In our problem, we have two variable lists: workers and jobs. Let’s create them using  LpVariable.dicts()  class.  LpVariable.dicts()  used with Python’s list comprehension.  LpVariable.dicts()  will take the following four values:

  • First, prefix name of what this variable represents.
  • Second is the list of all the variables.
  • Third is the lower bound on this variable.
  • Fourth variable is the upper bound.
  • Fourth is essentially the type of data (discrete or continuous). The options for the fourth parameter are  LpContinuous  or  LpInteger .

Let’s first create a list route for the route between warehouse and project site and create the decision variables using LpVariable.dicts() the method.

Define Objective Function

In this step, we will define the minimum objective function by adding it to the LpProblem  object. lpSum(vector)is used here to define multiple linear expressions. It also used list comprehension to add multiple variables.

Define the Constraints

Here, we are adding two types of constraints: Each job can be assigned to only one employee constraint and Each employee can be assigned to only one job. We have added the 2 constraints defined in the problem by adding them to the LpProblem  object.

Solve Model

In this step, we will solve the LP problem by calling solve() method. We can print the final value by using the following for loop.

From the above results, we can infer that Worker-1 will be assigned to Job-1, Worker-2 will be assigned to job-3, Worker-3 will be assigned to Job-2, and Worker-4 will assign with job-4.

In this article, we have learned about Assignment problems, Problem Formulation, and implementation using the python PuLp library. We have solved the Assignment problem using a Linear programming problem in Python. Of course, this is just a simple case study, we can add more constraints to it and make it more complicated. You can also run other case studies on Cargo Loading problems , Staff scheduling problems . In upcoming articles, we will write more on different optimization problems such as transshipment problem, balanced diet problem. You can revise the basics of mathematical concepts in  this article  and learn about Linear Programming  in this article .

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  • Transshipment Problem in Python Using PuLP

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Solving an Assignment Problem

This section presents an example that shows how to solve an assignment problem using both the MIP solver and the CP-SAT solver.

In the example there are five workers (numbered 0-4) and four tasks (numbered 0-3). Note that there is one more worker than in the example in the Overview .

The costs of assigning workers to tasks are shown in the following table.

The problem is to assign each worker to at most one task, with no two workers performing the same task, while minimizing the total cost. Since there are more workers than tasks, one worker will not be assigned a task.

MIP solution

The following sections describe how to solve the problem using the MPSolver wrapper .

Import the libraries

The following code imports the required libraries.

Create the data

The following code creates the data for the problem.

The costs array corresponds to the table of costs for assigning workers to tasks, shown above.

Declare the MIP solver

The following code declares the MIP solver.

Create the variables

The following code creates binary integer variables for the problem.

Create the constraints

Create the objective function.

The following code creates the objective function for the problem.

The value of the objective function is the total cost over all variables that are assigned the value 1 by the solver.

Invoke the solver

The following code invokes the solver.

Print the solution

The following code prints the solution to the problem.

Here is the output of the program.

Complete programs

Here are the complete programs for the MIP solution.

CP SAT solution

The following sections describe how to solve the problem using the CP-SAT solver.

Declare the model

The following code declares the CP-SAT model.

The following code sets up the data for the problem.

The following code creates the constraints for the problem.

Here are the complete programs for the CP-SAT solution.

Except as otherwise noted, the content of this page is licensed under the Creative Commons Attribution 4.0 License , and code samples are licensed under the Apache 2.0 License . For details, see the Google Developers Site Policies . Java is a registered trademark of Oracle and/or its affiliates.

Last updated 2023-01-02 UTC.

The Assignment Model

The linear programming formulation of the assignment model is similar to the formulation of the transportation model, except all the supply values for each source equal one, and all the demand values at each destination equal one. Thus, our example is formulated as follows :

what is the objective of an assignment model

This is a balanced assignment model. An unbalanced model exists when supply exceeds demand or demand exceeds supply.

what is the objective of an assignment model

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Transportation and Assignment Models in Operations Research

Transportation and assignment models are special purpose algorithms of the linear programming.   The simplex method of Linear Programming Problems(LPP)   proves to be inefficient is certain situations like determining optimum assignment of jobs to persons, supply of materials from several supply points to several destinations and the like. More effective solution models have been evolved and these are called assignment and transportation models.

The transportation model is concerned with selecting the routes between supply and demand points in order to minimize costs of transportation subject to constraints of supply at any supply point and demand at any demand point.   Assume a company has 4 manufacturing plants with different capacity levels, and 5 regional distribution centres.     4 x 5 = 20 routes are possible.   Given the transportation costs per load of each of 20 routes between the manufacturing (supply) plants and the regional distribution (demand) centres, and supply and demand constraints, how many loads can be transported through different routes so as to minimize transportation costs?   The answer to this question is obtained easily through the transportation algorithm.

Similarly, how are we to assign different jobs to different persons/machines, given cost of job completion for each pair of job machine/person?   The objective is minimizing total cost.   This is best solved through assignment algorithm.

Uses of Transportation and Assignment Models in Decision Making

The broad purposes of Transportation and Assignment models in LPP are just mentioned above.   Now we have just enumerated the different situations where we can make use of these models.

Transportation model is used in the following:

  • To decide the transportation of new materials from various centres to different manufacturing plants.   In the case of multi-plant company this is highly useful.
  • To decide the transportation of finished goods from different manufacturing plants to the different distribution centres.   For a multi-plant-multi-market company this is useful.
  • To decide the transportation of finished goods from different manufacturing plants to the different distribution centres.   For a multi-plant-multi-market company this is useful.   These two are the uses of transportation model.   The objective is minimizing transportation cost.

Assignment model is used in the following:

  • To decide the assignment of jobs to persons/machines, the assignment model is used.
  • To decide the route a traveling executive has to adopt (dealing with the order inn which he/she has to visit different places).
  • To decide the order in which different activities performed on one and the same facility be taken up.

In the case of transportation model, the supply quantity may be less or more than the demand.   Similarly the assignment model, the number of jobs may be equal to, less or more than the number of machines/persons available.   In all these cases the simplex method of LPP can be adopted, but transportation and assignment models are more effective, less time consuming and easier than the LPP.

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  • Introduction to Transportation Problem
  • Initial basic feasible solution of a transportation problem
  • Introduction to Crtical Path Analysis
  • Construction of Mathematical Decision Model
  • Duality in linear programming

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News and Resources from UWGB's Center for the Advancement of Teaching and Learning

Assignment Design

There’s a fine line between assignment design and assessment strategies . In short, designing good assignments is one means of assessing your students’ learning on a larger scale.

Assignments help measure student learning in your course. Effective assignment design in your course involves aligning your assignments with learning outcomes. When assignments and outcomes are aligned, good grades and good learning go hand in hand ( https://www.cmu.edu/teaching/designteach/design/assessments.html ).

Assessments fall into one of two categories, formative or summative .

Formative assessments are typically low-stakes and help students identify their strengths and weaknesses so that they can improve their learning. Routine formative assessments also help instructors identify the areas where students are struggling and adapt their teaching accordingly.

Summative assessments evaluate student learning (such as at the end of a unit of instruction). Summative assessments are generally higher stakes (like midterm exams and final projects).

Assignments are what students actually ‘do’ as part of those assessments.

Incorporating a mix of assignment activities in your course can help students practice and demonstrate their mastery of outcomes in multiple ways. Consider ways you can design your assignments so that they better mirror the application of knowledge in real-world scenarios. Assignments designed in this way are often referred to as Authentic Assessments ( Authentic-assessment.pdf (uwex.edu)). One type of highly authentic assessment is the long-term project which challenges students to solve a problem or complete a challenge requiring the application of course concepts ( Project_Based_Learning.pdf (uwex.edu) ).

More details and examples can be found in the tabbed content box below. Please also consider signing up for a CATL consultation with one of our instructional designers for some personalized assistance in developing your ideas for assignments and ensuring that they align with your course outcomes .

(Adapted from Carnegie Mellon's:  Design and Teach a Course )

Assessments should provide instructors and students with evidence of how well students have mastered the course outcomes.

There are two major reasons for aligning assessments with learning outcomes.

  • Alignment increases the probability that we will provide students with the opportunities to learn and practice knowledge and skills that instructors will require students know in the objectives and in the assessments. (Teaching to the assessment is a  good  thing.)
  • When instructors align assessments with outcomes, students are more likely to translate "good grades" into "good learning." Conversely, when instructors misalign assessments with objectives, students will focus on getting good grades on the assessments, rather than focusing on mastering the material that the instructor finds important.

Instructors may use different types of assessments to measure student proficiency in a learning objective. Moreover, instructors may use the same activity to measure different objectives. To ensure a more accurate assessment of student proficiency, many instructional designers recommend that you use different kinds of activities so that students have multiple ways to practice and demonstrate their knowledge and skills.

Formative assessment

The goal of formative assessment is to  monitor student learning  to provide ongoing feedback that can be used by instructors to improve their teaching and by students to improve their learning. More specifically, formative assessments:

  • help students identify their strengths and weaknesses and target areas that need work
  • help faculty recognize where students are struggling and address problems immediately

Formative assessments are generally  low stakes , which means that they have low or no point value. Examples of formative assessments include asking students to:

  • draw a concept map in class to represent their understanding of a topic
  • submit one or two sentences identifying the main point of a lecture
  • turn in a research proposal for early feedback

Summative assessment

The goal of summative assessment is to  evaluate student learning  at the end of an instructional unit by comparing it against some standard or benchmark.

Summative assessments are often  high stakes , which means that they have a high point value. Examples of summative assessments include:

  • a midterm exam
  • a final project
  • a senior recital

Information from summative assessments can be used formatively when students or faculty use it to guide their efforts and activities in subsequent courses.

Formative Assessments:

  • Reading quizzes
  • Concept map
  • Muddiest point
  • Pro/con grid
  • Focused paraphrasing
  • Reflective journal
  • Virtual lab/game
  • Webconference
  • Debate (synchronous or asynchronous)
  • Participant research
  • Peer review

Summative Assessments:

  • Presentation
  • Portfolio project

Carnegie Mellon University on Aligning Assessments with Objectives with examples.

Items to consider when weighing your assessment options:

If you are thinking about using discussions, be sure to think about the following:.

  • What kind of questions/situations do you want the students to discuss? Is it complex enough to allow students to build knowledge beyond the textbook? Will the discussion help students meet your objectives (and develop an answer for your essential questions)?
  • What are your expectations for discussions? Should students participate (post) a certain number of times, with a certain number of words, and reply to a certain number of people?
  • What is your role in the discussion (traffic cop, the person who clarifies issues, will you respond to every post)?

If you are thinking about using quizzes, be sure to think about the following:

  • What type of questions will help your students meet the objectives of the course? Are you going to grade essay questions or just let the computer grade multiple choice questions?
  • What is the place for academic integrity? Are you going to randomize questions, randomize answers, restrict time, restrict the answers that students can see after completing the exam?
  • How are you going to populate your quiz? Are you going to write the questions or use questions that come from a textbook publisher?

If you are thinking of using essays, be sure to think about the following:

  • Will these essays/papers help students to meet the course objectives, which ones? Is the length of the essay appropriate?
  • What do you think about plagiarism checkers such as TurnItIn?
  • To what extent will you allow students to submit drafts, and will you provide feedback on drafts, or will you use a peer review system?

Other items to consider:

  • Are you thinking about using an alternative assignment? If so, you may want to talk with an instructional technologist or designer.
  • Consider the type of feedback you will provide for each assignment. What should students expect from you; how will you communicate those expectations; and how soon will you provide feedback (realistically)?

Further resources

Small teaching online.

This book (requires UWGB login) contains many tips that are easy to integrate into your distance education class. The chapter on “ surfacing backward design” contains many tips for assessment for online classes, many of which are adaptable to all distance modalities.

CATL Resources

  • Collaborative Learning Assignments  (Toolbox article)
  • Administering Tests and Quizzes (including alternatives) (Toolbox article)
  • Writing Good Multiple Choice Questions ( TeAch Tuesday , YouTube)

Tip sheets from UW-System

UW-System put together some tip sheets for common sticking points in assessment for distance education.

  • Writing effective multiple choice questions
  • Authentic assessments
  • Unproctored online assessments
  • Project-based learning

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Six Characteristics of a Model Assignment

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How many times have you had a student submit an assignment with few sources, poorly written and several days late? Probably happens more times than not. There are six characteristics of a model assignment which will not only alleviate instructor frustration, but also strengthen student writing and time management skills.

  • Create assignments which directly relate to accomplishing the course objective. A model assignment maintains a clear goal toward accomplishing a course objective. For adult online learners, course goals relate less to theory or original research and more to practical approaches for day-to-day application or career advancement.
  • More details equals higher quality of student final product. Since adult online learners come from diverse backgrounds, do not assume students will understand the purpose of the assignment. Be prepared to tell students what you expect (e.g. word count, citation format, number of sources, etc.) and how it should be done (e.g. upload to Moodle versus email attachment).
  • Give incremental due dates. Large comprehensive assignments due at the course finality leads to unfocused, or even plagiarized, writing. Break down a large assignment into several smaller assignments due sporadically throughout the term. In turn, students receive valuable feedback incrementally as they progress throughout the course.
  • Allow students to brainstorm for topics. Allow students to brainstorm topics or share with other students using the Moodle Discussion Board form. Or consider offering students a choice among 3-4 essay questions, case scenarios, or case studies. By allowing student choice, students will find a greater connection in their writing which in turn will lead to better final submissions.
  • Give examples. In addition to clear directions, students also appreciate a visual piece of the final product. If you decide to use another student’s work, be sure to ask permission to use from the student. Post model assignments on your Moodle course shell.
  • Share student evaluation tools. Share rubrics, or other evaluation tool, early in the assignment rather than at the end so students may clarify expectations firsthand. Post rubrics or evaluation tools on your Moodle course shell so students may refer to it when necessary.

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CEE 3790 Introduction to Building Information Modeling (BIM) using Revit

Course description.

Course information provided by the Courses of Study 2023-2024 . Courses of Study 2024-2025 is scheduled to publish mid-June.

The purpose of this course is to provide a general knowledge of the use of Revit to document and model all of the major architectural elements of a commercial project. You will learn the design and detailing aspects of commercial buildings including floor plans, interior and exterior elevations, wall and building sections, schedules, and construction drawing set. Lab assignments will be created utilizing Revit (latest version).

When Offered Fall.

Permission Note Priority given to: CEE structual mechanics M.Eng students.

  • Students will have a basic knowledge of considerations involved in the preliminary design of small commercial buildings.
  • Students will be able to use the college's architectural BIM system to create a three-dimensional building model.
  • Students will be able to use the college's architectural BIM system to create construction drawings for a commercial building, including architectural floor plans, reflected ceiling plans, sections, and elevations. Graduate students will be able to use the college's architectural BIM system to create structural framing plans.
  • Students will be able to develop an architectural design and create a set of construction documents for a small commercial building, included in the set are architectural floor plans, reflected ceiling plans, sections, and elevations. Graduate students will be required to create foundation and structural framing plans.
  • Students will be able to present the proposed design to the class, with oral explanations.

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  Regular Academic Session.   Combined with: CEE 5790

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2 Credits Stdnt Opt (Letter or S/U grades)

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 9661 CEE 3790   LEC 001

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  • MW 11:15am - 12:05pm To Be Assigned
  • Aug 26 - Dec 9, 2024

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Coolbaugh, J

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IMAGES

  1. Multi-Objective Fleet Assignment Problem Based on Self-Adaptive Genetic Algorithm

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  2. PPT

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  3. Managing Group and Mass Objective Assignments

    what is the objective of an assignment model

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  5. Portrait

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  6. Reflection Assignment Example

    what is the objective of an assignment model

VIDEO

  1. Lens Objective Assignment Discussion

  2. Combination of Lens and Lens objective assignment discussion

  3. Assignment Model Diagonal Rule by Hungarian method in Amharic

  4. Assignment Model |Unbalanced -Maximization sum

  5. Data project planning models

  6. Assignment Model

COMMENTS

  1. Assignment problem

    The assignment problem is a fundamental combinatorial optimization problem. In its most general form, the problem is as follows: The problem instance has a number of agents and a number of tasks. Any agent can be assigned to perform any task, incurring some cost that may vary depending on the agent-task assignment.

  2. Assignment Model

    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).

  3. Assignment Problem: Meaning, Methods and Variations

    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 ...

  4. Assignment Model in Operation Research

    Assignment Model in Operation Research - Examples and types. Page 1. Fundamentals of assignment model. Example 1: Balanced. Example 2: Multiple iterations. Example of maximization objective. Example 4: Unbalanced. Restrictions on assignments. Multiple optimal solutions.

  5. Operations Research with R

    Assignment Problem. The assignment problem is a special case of linear programming problem; it is one of the fundamental combinational optimization problems in the branch of optimization or operations research in mathematics. Its goal consists in assigning m resources (usually workers) to n tasks (usually jobs) one a one to one basis while ...

  6. Assignment Problem, Linear Programming

    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 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 ...

  7. ASSIGNMENT PROBLEM (OPERATIONS RESEARCH) USING PYTHON

    The Assignment Problem is a special type of Linear Programming Problem based on the following assumptions: It aims at minimizing the cost or time associated with completing a certain number of ...

  8. 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 ...

  9. The assignment problem revisited

    The first model is the uniform-weights model that assigns to every edge a uniform random weight in the range \(\{1, \ldots , 100000\}\). The second model is the uniform-low-high-weights model. This model randomly partitions the set of edges in two parts, the low-weights part and the high-weights part, according to a parameter \(p\in [0,1]\).

  10. Assignment Model in Quantitative Techniques (QT)

    The Assignment Model is a valuable tool in the field of Operations Research with several important applications. Here are some key reasons highlighting its importance: ... and make informed decisions based on objective optimization criteria. In summary, the Assignment Model plays a vital role in operations research by providing optimization ...

  11. Assignment Problem in Linear Programming : Introduction and Assignment

    The total assignment cost will be given by . The above definition can be developed into mathematical model as follows: Determine x ij > 0 (i, j = 1,2, 3…n) in order to . Subjected to constraints . and x ij is either zero or one. Method to solve Problem (Hungarian Technique): Consider the objective function of minimization type.

  12. PDF Transportation and Assignment Models

    model file. Clearly we want to set up a general model to deal with this prob-lem. 3.2 An AMPL model for the transportation problem. Two fundamental sets of objects underlie the transportation problem: the sources or origins (mills, in our example) and the destinations (factories). Thus we begin the. AMPL. model with a declaration of these two sets:

  13. Solving Assignment Problem using Linear Programming in Python

    For solving the assignment problem, we use the Assignment technique or Hungarian method, or Flood's technique. The transportation problem is a special case of the linear programming model and the assignment problem is a special case of transportation problem, therefore it is also a special case of the linear programming problem.

  14. Solving an Assignment Problem

    This section presents an example that shows how to solve an assignment problem using both the MIP solver and the CP-SAT solver. Example. In the example there are five workers (numbered 0-4) and four tasks (numbered 0-3).

  15. The Assignment Model

    The assignment model is a special form of a linear programming model that is similar to the transportation model. There are differences, however. In the assignment model, the supply at each source and the demand at each destination are each limited to one unit. An assignment model is for a special form of transportation problem in which all ...

  16. PDF A New Method to Solve Assignment Models

    The general Graph theory of assignment model is given as under. [4], [7] Figure (1): Network representation of the assignment problem . ... and find the objective function for each solution and choose the lowest value for the objective function. 4 Example 1 Four jobs J1, J2, J3 and J4 are to be assigned to four persons P1, P2, P3 and P4. ...

  17. PDF Formulating Linear Programming Models

    2. What is the goal of the problem? Write down the objective function as a function of the decision variables. 3. What resources are in short supply and/or what requirements must be met? Formulate the constraints as functions of the decision variables. Steps for Developing an LP Model in a Spreadsheet 1. Enter all of the data for the model.

  18. Revisiting the Evolution and Application of Assignment Problem ...

    The assignment problem is special case of transportation problem and a linear zero-one programming problem in which the objective is to assign a number of resources to the equal number of activities at a minimum cost (or maximum profit).The assignment problem deals in allocating the various resources (items) to various

  19. Transportation and Assignment Models in Operations Research

    These two are the uses of transportation model. The objective is minimizing transportation cost. Assignment model is used in the following: To decide the assignment of jobs to persons/machines, the assignment model is used. To decide the route a traveling executive has to adopt (dealing with the order inn which he/she has to visit different ...

  20. Tutorial and Practice in Linear Programming

    defined to represent a model of the system. 3) Define the objective function as a single linear function of the decision variables with parameters that represent one unit of the associated decision variable. Examples of parameters are cost in dollar units and flow in units of vehicles per hour.

  21. (PDF) A New Method to Solve Assignment Models

    The general Graph theory of assignment model is given as un der. [4], [7] ... and find the objective function for each solution and choose the lowest v alue for .

  22. Assignment Method

    Assignment Method Explained. The assignment method in operation research is a strategy for allocating organizational resources to tasks to increase profit via efficiency gains, cost reductions, and improved handling of operations that might create bottlenecks.It is an operations management tool that, by allocating jobs to the appropriate individual, minimizes expenses, time, and effort.

  23. Assignment Design

    In short, designing good assignments is one means of assessing your students' learning on a larger scale. Assignments help measure student learning in your course. Effective assignment design in your course involves aligning your assignments with learning outcomes. When assignments and outcomes are aligned, good grades and good learning go ...

  24. Six Characteristics of a Model Assignment

    Create assignments which directly relate to accomplishing the course objective. A model assignment maintains a clear goal toward accomplishing a course objective. For adult online learners, course goals relate less to theory or original research and more to practical approaches for day-to-day application or career advancement.

  25. Class Roster

    The purpose of this course is to provide a general knowledge of the use of Revit to document and model all of the major architectural elements of a commercial project. You will learn the design and detailing aspects of commercial buildings including floor plans, interior and exterior elevations, wall and building sections, schedules, and construction drawing set. Lab assignments will be ...