Mathematical model for P-hub location problem under simultaneous disruption

The optimal locating of facilities has large effects on economic benefits, providing satisfactory service and levels of customer satisfaction. one of the new topics discussed in location problems is hub location and hub facilities are subject to unpredictable disruptions. this paper proposes a nonlinear integer model for reliable single allocation hub location problem that considers backup hub, alternative routes, and also uses fortification approach to improve the network reliability. due to the np hard nature of the model, we use genetic algorithm in order to solve the defined problem and the numerical results illustrate the applicability of the proposed model as well as the efficiency of solution procedure.