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Edge Assembly Crossover for the Capacitated Vehicle Routing Problem

  • Yuichi Nagata
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4446)

Abstract

We propose an evolutionary algorithm (EA) that applies to the capacitated vehicle routing problem (CVRP). The EA uses edge assembly crossover (EAX) which was originally designed for the traveling salesman problem (TSP). EAX can be straightforwardly extended to the CVRP if the constraint of the vehicle capacity is not considered. To address the constraint violation, the penalty function method with 2-opt and Interchange neighborhoods is incorporated into the EA. Moreover, a local search is also incorporated into the EA. The experimental results demonstrate that the proposed EA can effectively find the best-known solutions on Christofides benchmark. Moreover, our EA found ten new best solutions for Golden instances in a reasonable computation time.

Keywords

Local Search Solution Candidate Travel Salesman Problem Travel Salesman Problem Vehicle Route Problem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Berlin Heidelberg 2007

Authors and Affiliations

  • Yuichi Nagata
    • 1
  1. 1.Graduate School of Information Sciences, Japan Advanced Institute of Science and Technology 

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