Design of a Reliable Hub Location Network under Massive Disruption with Direct Connections between Non–Hub Nodes

The optimal locating of facilities has large effects on economic benefits, providing satisfactory service and levels of customer satisfaction.The decision of facilities location mostly is a long-term and strategic decision of the large private and public companies and reliability is important to make this strategic decision so that the system continues to operate with the least damage in case of stop working or failure of one of the components. This paper at the first time 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, while there is the possibility of direct connection between non-hub nodes . Due to the NP hard nature of the model, genetic algorithm is use in order to solve the defined problem and the numerical results illustrate the genetic algorithm has better performance than the GAMS in terms of speed , it also shows great quality answers. The results of the sensitivity analysis show that considering the protection approach has reduced the total cost.