The assignment problem is considered as the basic problem of the combinatorial optimization in the branch of operations and research and optimization in mathematics in the field of the industrial management. The assignment model has a method to find the maximum weight that is similar in the weighted bipartite graph. Let us presume that there are a number of odd jobs to be carried out by several different representatives. In consideration of any representative the job can be allocated to complete any job, with some charge acquired that may diverge as per the representative-job assignment.
Assignment problem is actually the problem related to assigning of n jobs to n different machines. This model can be efficiently applied for some other problem in which n items (or persons) are to be assigned to other n items so that each one of the first group is assigned to one distinct item from the second group. The conventional linear programming approach is used to solve the assignment problem. The other approach which can also be used is transportation model approach. This has a square matrix with equal number of rows and columns. The aim is to assign one item from a row to one item form a column. This results in minimum total cost.
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