*Mathematical
Model of an Assignment Problem (balanced)*

__where__

*n *
number of persons to be assigned / number of tasks

*c*_{ij}
cost of *i th *person to* j-th*
task* *assignment

**x**_{ij }
Boolean variables representing assignment realization
(define x_{ij} to be 1 if person *i* is assigned to task *j*,
and define it to be 0 if the assignment is not made).