Future studies in defense systems by using mathematical programming in order to determine healthcare facility locations and to partition areas

In this research, mathematical programming approach is applied to determine healthcare facility locations and to partition areas in defense systems in order to extend future studies. For this purpose, a mathematical model is presented whose goal is to optimize the process of transmitting injured persons in war time. In this model, population zones are partitioned into large groups, called districts. In any district, a healthcare center is present to service to injured persons. The objective functions of the problem are minimizing construction and reconstruction costs, and minimizing costs of transmitting injured persons. The problem contains three general classes of constraints: 1) constraints of sending injured persons between centers 2) constraints of assigning population zones to districts 3) constraint of satisfying feasible structures of districts. In order to solve the problem, the solver CPLEX, an efficient tool of optimization, is used. The results obtained from solving the problem can be used for future studies whenever operating defenses occur.