This paper is a survey of the literature on applications of evolutionary algorithms for vehicle routing problems. It reports about genetic algorithms, evolution strategies and particle swarm optimization, when applied to the classical capacitated vehicle routing problem and many of its variants. The performance of evolutionary algorithms is also compared with the best alternative problem-solvin...

We study the capacitated k-facility location problem, in which we are given a set of clients with demands, a set of facilities with capacities and a constant number k. It costs fi to open facility i, and cij for facility i to serve one unit of demand from client j. The objective is to open at most k facilities serving all the demands and satisfying the capacity constraints while minimizing the ...

Corrected Miller–Tucker–Zemlin type subtour elimination constraints for the capacitated vehicle routing problem are presented. 2003 Elsevier B.V. All rights reserved.

We propose a heuristic for a class of vehicle routing problems (VRPs) with minmax objective. These include the Capacitated VRP, the Capacitated VRP with multiple use of vehicles, and the Traveling Salesman Problem with multiple use of vehicles. A tabu search based adaptive memory procedure of instances indicate that the method produces very good solutions within reasonable computing times.

The successful application of Branch and Cut methods to the TSP has drawn attention also to the polyhedral properties of the symmetric capacitated vehicle routing problem, which is the capacitated counterpart of the TSP. We investigate three classes of valid inequalities for the CVRP, multistars, pathbin inequalities and hypotours and give computational results we obtained with a Branch and Cut...

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 ...

In this paper, we propose a new hybrid heuristic to solve the Location Routing Problem with capacitated depots and capacitated vehicles. The heuristic combines a Greedy Randomized Adaptive Search Procedure to determine the depot locations to be established and a Variable Neighborhood Search to optimize the vehicle routes originating at the opened depots. Furthermore, we enhance the heuristic by...