Question: Consider an assignment problem to assign 2 people to do jobs (2 ). Each job must be assigned to exactly one person. The first people
Consider an assignment problem to assign 2 people to do jobs (2 ). Each job must be assigned to exactly one person. The first people (i.e., persons 1,2, , ) are female and the rest (i.e., persons + 1, + 2, ,2) are male. It costs to assign person to do job ( = 1, ,2; = 1, , ). In addition, it is required that the difference between the numbers of male and female employees must be less than or equal to a constant . Formulate an integer linear model to minimize the total cost of the assignment.
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