Facility location problem with stochastic demand and multi-objective considering queuing theory framework

In this paper, the facility location problem with immobile servers is studied. In proposed model, tow objective functions have been considered: (1) minimizing the average customer waiting time and (2) minimizing the fixed cost of facility installation. The M/M/K queuing system has been used to formulate the problem. Also Customers are assumed to visit the closest open facility. Simulated Annealing algorithm with LP metric framework has been used to solve the proposed model. Several examples are presented to demonstrate the applications of the proposed methodology.