Developing a mathematical model for vehicles scheduling in multiple cross-docking systems

This paper is focused on transportation scheduling at a comprehensive model. The purpose of this study is evaluating field of operation management in cross docking systems. By including input and output of trucks, receiving and carrying items from the warehouses. A bi-objective model proposed that the objectives are minimizing the total cost of the operation along with the highest throughput cross docking system and the total time of the operations. In order to proposed model more closely to the real conditions, multiple cross docking warehouse is assumed. Mixed integer programming multi objective model for docks scheduling with considering the limitations in capacity is proposed and controlled non-dominated sorting genetic algorithm has been used to solve the problem. This method is designed to achieve Pareto solution. Taguchi method is used to tune the parameters in order to faster convergence of the algorithm. Finally the results of the model are presented and interpreted.