Bi-objective optimization of multi-server intermodal hub-location-allocation problem in congested systems: modeling and solution


1 Young Researchers and Elite Club, Qazvin Branch, Islamic Azad University, Qazvin, Iran

2 Department of Industrial Engineering, Sharif University of Technology, P.O. Box 11155-9414, Azadi Ave, Tehran, Iran

3 Department of Industrial Engineering, Alzahra University, Tehran, Iran

4 Department of Industrial Engineering, Firoozkooh Branch, Islamic Azad University, Firoozkooh, Iran


A new multi-objective intermodal hub-location-allocation problem is modeled in this paper in which both the origin and the destination hub facilities are modeled as an M/M/m queuing system. The problem is being formulated as a constrained bi-objective optimization model to minimize the total costs as well as minimizing the total system time. A small-size problem is solved on the GAMS software to validate the accuracy of the proposed model. As the problem becomes strictly NP-hard, an MOIWO algorithm with an efficient chromosome structure and a fuzzy dominance method is proposed to solve large-scale problems. Since there is no benchmark available in the literature, an NSGA-II and an NRGA are developed to validate the results obtained. The parameters of all algorithms are tuned using the Taguchi method and their performances are statistically compared in terms of some multi-objective metrics. Finally, the entropy-TOPSIS method is applied to show that MOIWO is the best in terms of simultaneous use of all the metrics.