Assignment Problem (Part-1) Introduction/Formulation/Balanced/Unbalanced AP
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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. It is required to perform as many tas…
Assignment problems
If the given matrix is not a square matrix, the assignment problem is called an unbalanced problem. In such type of problems, add dummy row (s) or column (s) with the cost elements as zero to convert the matrix as a square matrix. Then …
What is Balanced or Unbalanced Assignment problem?
The Assignment problem can be Balanced or Unbalanced problem. A Balanced problem means the no. of rows and no. of columns in the problem are equal. E. g. if the problem …
Solving the Unbalanced Assignment Problem: Simpler Is Better
If the number of jobs is not equal to the number of machines, then the assignment problem is first balanced. This requires that either dummy (fictitious) jobs or machines are added...
Assignment Problem: Meaning, Methods and Variations
Unbalanced Assignment Problem: Any assignment problem is said to be unbalanced if the cost matrix is not a square matrix, i.e. the no of rows and the no of columns are not equal. To …
Hungarian Method
The Hungarian method is a computational optimization technique that addresses the assignment problem in polynomial time and foreshadows following primal-dual alternatives. In 1955, Harold Kuhn used the term “Hungarian …
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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. It is required to perform as many tas…
If the given matrix is not a square matrix, the assignment problem is called an unbalanced problem. In such type of problems, add dummy row (s) or column (s) with the cost elements as zero to convert the matrix as a square matrix. Then …
The Assignment problem can be Balanced or Unbalanced problem. A Balanced problem means the no. of rows and no. of columns in the problem are equal. E. g. if the problem …
If the number of jobs is not equal to the number of machines, then the assignment problem is first balanced. This requires that either dummy (fictitious) jobs or machines are added...
Unbalanced Assignment Problem: Any assignment problem is said to be unbalanced if the cost matrix is not a square matrix, i.e. the no of rows and the no of columns are not equal. To …
The Hungarian method is a computational optimization technique that addresses the assignment problem in polynomial time and foreshadows following primal-dual alternatives. In 1955, Harold Kuhn used the term “Hungarian …