modelling and optimization of a tri-objective transportation-location-routing problem considering route reliability: using mogwo, mopso, mowca and nsga-ii

In this research, a tri-objective mathematical model is proposed for the transportation-location-routing problem. the model considers a three-echelon supply chain and aims to minimize total costs, maximize the minimum reliability of the traveled routes and establish a well-balanced set of routes. in order to solve the proposed model, four metaheuristic algorithms, including multi-objective grey wolf optimizer (mogwo), multi-objective water cycle algorithm (mowca), multi-objective particle swarm optimization (mopso) and non-dominated sorting genetic algorithm- ii (nsga-ii) are developed. the performance of the algorithms is evaluated by solving various test problems in small, medium, and large scale. four performance measures, including diversity, hypervolume, number of non-dominated solutions, and cpu-time, are considered to evaluate the effectiveness of the algorithms. in the end, the superior algorithm is determined by technique for order of preference by similarity to ideal solution method.keywords: