in this article, multiple-product pvrp with pickup and delivery that is used widely in goods distribution or other service companies, especially by railways, was introduced. a mathematical formulation was provided for this problem. each product had a set of vehicles which could carry the product and pickup and delivery could simultaneously occur. to solve the problem, two meta-heuristic methods...

This paper provides a review of the recent developments that had a major impact on the current state-ofthe-art exact algorithms for the vehicle routing problem (VRP). The paper reviews mathematical formulations, relaxations and recent exact methods for two of the most important variants of the VRP: the capacitated VRP (CVRP) and the VRP with time windows (VRPTW). The paper also reports a compar...

A design problem of cross-docking distribution networks is addressed as a new research area in logistics management. This paper presents a new mathematical model for the location of cross-docking facilities and vehicle routing scheduling problems in distribution networks. For this purpose, a two-phase mixed-integer programming (MIP) is formulated. Then, a new heuristic-based simulated annealing...

Non-uniform distribution of customers in a region and variation of their maximum willingness to pay at distinct areas make regional pricing a practical method to maximize the profit of the distribution system. By subtracting the classic objective function, which minimizes operational costs from revenue function, profit maximization is aimed. A distribution network is designed by determining the...

Last-mile delivery costs are increasingly growing due to the rapid growth in E-commerce and proliferation of online shopping especially after COVID-19 crisis. Integrating shared location systems with home has been a new trend tackling last mile challenges. This paper studies Capacitated Vehicle Routing Problem Delivery Options (CVRPDO). In this problem, customers can choose between picking up t...