Optimizing the Multi-Level Location-Assignment Problem in Queue Networks Using a Multi-Objective Optimization Approach

Abstract Using hubs in distribution networks is an efficient approach. In this paper, a model for the location-allocation problem designed within framework of queuing network which services have several levels, and customers must go through these levels to complete service. The purpose locate appropriate number facilities among potential locations allocate customers. presented as multi-objective nonlinear mixed-integer programming model. objective functions include summation customer waiting time system minimizing maximum possibility unemployment facility. To solve model, technique accurate solution epsilon constraint method used optimization, Pareto solutions will be calculated. Moreover, sensitivity analysis performed, results demonstrate demand rate. Based on obtained, it can concluded that proposed able greatly summate reduce probability at all facilities. also further developed by choosing vehicles each customer.