Marcus Poggi de Aragão Dep.de Informática Pontif́ıcia Universidade Católica do Rio de Janeiro [email protected] Eduardo Uchoa Dep. Eng. de Produção Universidade Federal Fluminense [email protected] January 15th, 2005 The Capacitated Vehicle Routing Problem (CVRP) is the most basic variant of a vehicle routing problem: homogeneous fleet, single depot, only deliveries, no time-windows, and ...

This paper introduces the Pyramidal Capacitated Vehicle Routing Problem (PCVRP) as a restricted version of the Capacitated Vehicle Routing Problem (CVRP). In the PCVRP each route is required to be pyramidal in a sense generalized from the Pyramidal Traveling Salesman Problem (PTSP). A pyramidal route is defined as a route on which the vehicle first visits customers in increasing order of custom...

We give a polynomial time approximation scheme (PTAS) for the unit demand capacitated vehicle routing problem (CVRP) on trees, entire range of tour capacity. The result extends to splittable CVRP.

The Capacitated Vehicle Routing Problem (CVRP) is a well known problem in the optimization literature. In this paper, we consider that there is a single depot (or distribution centre) that caters to the customer demands at a set of sales points (or demand centers) using vehicles with known limited capacities. The demand at each of these demand centers is assumed to be constant and known. Due to...

Recently proved successful for variants of the vehicle routing problem (VRP) involving time windows, genetic algorithms have not yet shown to compete or challenge current best search techniques in solving the classical capacitated VRP. In this paper, a hybrid genetic algorithm to address the capacitated vehicle routing problem is proposed. The basic scheme consists in concurrently evolving two ...

We introduce the Mixed Capacitated General Routing Problem with Time Windows (MCGRPTW). This problem is defined over a mixed graph, for which some nodes, arcs and edges have strictly positive demand and must be serviced through a fleet of homogeneous capacitated vehicles. The aim is to find a set of least-cost vehicle routes that satisfy this requirement, while respecting pre-specified time win...

Recent years, spatial data and observed data, such as digital road map, traffic route, vehicle speed, recordings events and others, are integrated and stored into the spatial temporal database systems. Various location-based services by using mobile phone are also becoming popular. In this paper, we focus on one of GIS-based scheduling applications concerning the availability of GPS technologie...

The overall cost of companies dealing with the distribution tasks is considerably affected by the way that distributing vehicles are procured. In this paper, a more practical version of capacitated vehicle routing problem (CVRP) in which the decision of purchase or hire of vehicles is simultaneously considered is investigated. In CVRP model capacitated vehicles start from a single depot simulta...

In this paper, we have conducted a literature review on the recent developments and publications involving the vehicle routing problem and its variants, namely vehicle routing problem with time windows (VRPTW) and the capacitated vehicle routing problem (CVRP) and also their variants. The VRP is classified as an NP-hard problem. Hence, the use of exact optimization methods may be difficult to s...