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What is Balanced or Unbalanced Assignment problem?
Operations Research
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 contains 4 workers and 4 jobs, then it is balanced.
Where as, an Unbalanced problem means the no. of rows and no. of columns are not equal. E. g. if the problem contains 4 workers and 3 jobs it is not balanced. Then first we need to balance the problem by taking a Dummy job (imaginary job).
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Unbalanced Assignment Problems. Whenever the cost matrix of an assignment problem is not a square matrix, that is, whenever the number of …
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 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 to the...
Most libraries for the assignment problem solve either the balanced or unbalanced version of this problem (see the later section). However, whether balanced or …
This paper introduces a new stochastic constructive heuristic entitled Dhouib-Matrix-AP2 (DM-AP2) in order to optimize a variant of the Unbalanced Assignment Problem with constraint on agents.
Balanced Assignment Problem is an assignment problem where the number of persons is equal to the number of jobs. Unbalanced Assignment Problem is an assignment problem …
Unbalanced Assignment problem is an assignment problem where the number of facilities is not equal to the number of jobs. To make unbalanced assignment problem, a balanced one, …