A Bi-Objective Dynamic Reliable Hub Location Problem With Congestion Effects

This study solves a new model of hub locating with respect to the reliability and importance of flow congestion on hub nodes in a dynamic environment. each node is considered as a hub, whose communication path to another non-hub node has specific reliability. in order to reduce input flow to any hub and avoid creating unsuitable environmental and traffic conditions in that area, efficiency capacity is allocated to each hub, which is subject to a penalty in case of exceeding this amount. this model is also capable of deciding whether hubs are active or inactive in each period; therefore, hub facilities can be established or closed due to different conditions (such as changes in demand, legislative, etc.). the model is nonlinear and bi-objective; the first goal is to reduce transportation costs, hub rental fees, and extra flow congestion penalties on hub nodes and the second goal is to increase the minimum designed network reliability. after the linearization of the model, by using ε- constraint method, the optimal boundary is obtained. moreover, to demonstrate the performance of the model, iad dataset is used for solving the problem. to evaluate the model, sensitivity analysis is presented for some of the important parameters of the model.