Solving a hub location-routing problem with a queue system under social responsibility by a fuzzy meta-heuristic algorithm

This paper presents a new multi-objective mathematical model for the hub location and routing problem under uncertainty in flows, costs, times, number of job opportunities. aims at minimizing total transportation cost consisting fixed maximizing employment regional development as social responsibility. An M/M/c/K queue system is applied to estimate waiting time nodes maximize responsiveness. Also, fuzzy queuing method uncertainties this network. A powerful evolutionary meta-heuristic algorithm based on invasive weed optimization, variable neighborhood search, game theory developed solve introduced obtain near-optimal Pareto solutions. Many experiments well real case-study show superiority proposed approaches compared state-of-the-art algorithm.