stochastic approach to vehicle routing problem: development and theories abstract in this article, a chance constrained (ccp) formulation of the vehicle routing problem (vrp) is proposed. the reality is that once we convert some special form of probabilistic constraint into their equivalent deterministic form then a nonlinear constraint generates. knowing that reliable computer software for lar...

An integrated model considers all parameters and elements of different deficiencies in one problem. This paper presents a new integrated model of a supply chain that simultaneously considers facility location, vehicle routing and inventory control problems as well as their interactions in one problem, called location-routing-inventory (LRI) problem. This model also considers stochastic demands ...

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...

This paper deals with hub-and-spoke network design in the liner shipping sector. It introduces a capacitated directed cycle hub location and cargo routing problem under congestion. The involves four decisions: of ports; allocation non-hub ports to construction cyclic route at port level; between all origin-destination demand pairs network. objective is minimize cost which includes fixed opening...

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...