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...

Manufacturers, who re-supply a large number of customers, continually struggle with the question of how to formulate a replenishment strategy. The purpose of this paper is to determine the optimal set of routes for a group of vehicles in the transportation network under defined constraints – which is known as the Vehicle Routing Problem (VRP) – delivering new items, and resolving the invent...

The single vehicle routing problem with multiple routes is a variant of the vehicle routing problem where the vehicle can be dispatched to several routes during its workday to serve a number of customers. In this paper we propose a goal programming model for multi-objective single vehicle routing problem with time windows and multiple routes. To solve the model, we present a heuristic method wh...

The location routing problem (LRP) is a relatively new research direction within location analysis that takes into account vehicle routing aspect. The goal of LRP is to solve a facility location problem and a vehicle routing problem simultaneously. We propose a simulated annealing (SA) based heuristic for solving the LRP. The proposed heuristic is tested on some well-known benchmark instances a...

Electric vehicles (EVs) are widely applied in logistics companies’ urban distribution, as fuel prices increase and environmental awareness grows. This study introduces an EV charging station (CS) location-routing problem with time windows resource sharing (EVCS-LRPTWRS). Resource sharing, among multiple depots within service periods is proposed to adjust the transportation configuration for a s...

In this paper, we focus on a problem that requires the location of recharging stations and routing electric vehicles in goods distribution system. The are disseminated from depot distributed to customers via heterogeneous fleet with limited capacity. Differently classical vehicle problem, have battery restrictions need be recharged at some if trip is longer than their range. reduces finding opt...