ABSTRACT

Solution Problem Formulation: Let Xij represent number of workers dispatched from location i to work site j. The objective function is as follows:

and the constraints set is as follows:

The Assignment Model

Basically, the assignment model can be stated as follows: Given n individuals and n jobs, each individual is to be assigned to only one job and each job is to be performed by only one individual, in such a way that the total cost is to be minimized. The assignment problem can be described mathematically as follows:

Let x.. = {1, if indiv~dual is assigned to job j IJ 0, otherwise (l1.S)

The objective function of the assignment model is to minimize the total cost of assignment.