General Form Of Assignment Problem In Salt Lake
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Maximization case in Assignment Problem There may be situation when the assignment problem calls for maximization of profit. Such problem can be solved by converting the given maximization problem into minimization problem by substracting all the elements of the given matrix from the highest element.
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).”
The Generalized Assignment Problem has shown to be NP-hard and therefore efficient algorithms are needed, especially for large problems.
In applied mathematics, the maximum generalized assignment problem is a problem in combinatorial optimization. This problem is a generalization of the assignment problem in which both tasks and agents have a size. Moreover, the size of each task might vary from one agent to the other.
Bottleneck generalized assignment problems☆ The basic problem involves the assignment of a number of jobs to a number of agents such that each job is performed by a unique agent, and capacity limitations on the agents are not exceeded. Two versions of the bottleneck generalized assignment problem (BGAP) are defined.
Balanced Assignment Problem is an assignment problem where the number of facilities is equal to the number of jobs. Unbalanced Assignment Problem: Unbalanced Assignment problem is an assignment problem where the number of facilities is not equal to the number of jobs.
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