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A variable neighbourhood search algorithm for the open vehicle routing problem

Author

Listed:
  • Fleszar, Krzysztof
  • Osman, Ibrahim H.
  • Hindi, Khalil S.

Abstract

In the open vehicle routing problem (OVRP), the objective is to minimise the number of vehicles and then minimise the total distance (or time) travelled. Each route starts at the depot and ends at a customer, visiting a number of customers, each once, en route, without returning to the depot. The demand of each customer must be completely fulfilled by a single vehicle. The total demand serviced by each vehicle must not exceed vehicle capacity. Additionally, in one variant of the problem, the travel time of each vehicle should not exceed an upper limit. An effective variable neighbourhood search (VNS) heuristic for this problem is proposed. The neighbourhoods are based on reversing segments of routes (sub-routes) and exchanging segments between routes. Computational results on sixteen standard benchmark problem instances show that the proposed VNS is comparable in terms of solution quality to the best performing published heuristics.

Suggested Citation

  • Fleszar, Krzysztof & Osman, Ibrahim H. & Hindi, Khalil S., 2009. "A variable neighbourhood search algorithm for the open vehicle routing problem," European Journal of Operational Research, Elsevier, vol. 195(3), pages 803-809, June.
  • Handle: RePEc:eee:ejores:v:195:y:2009:i:3:p:803-809
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    References listed on IDEAS

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    1. Michel Gendreau & Alain Hertz & Gilbert Laporte, 1994. "A Tabu Search Heuristic for the Vehicle Routing Problem," Management Science, INFORMS, vol. 40(10), pages 1276-1290, October.
    2. Fleszar, K. & Hindi, K.S., 2008. "An effective VNS for the capacitated p-median problem," European Journal of Operational Research, Elsevier, vol. 191(3), pages 612-622, December.
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    Cited by:

    1. Liu, Ran & Jiang, Zhibin, 2012. "The close–open mixed vehicle routing problem," European Journal of Operational Research, Elsevier, vol. 220(2), pages 349-360.
    2. Hongtao Lei & Gilbert Laporte & Bo Guo, 2012. "A generalized variable neighborhood search heuristic for the capacitated vehicle routing problem with stochastic service times," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 20(1), pages 99-118, April.
    3. Allahyari, Somayeh & Salari, Majid & Vigo, Daniele, 2015. "A hybrid metaheuristic algorithm for the multi-depot covering tour vehicle routing problem," European Journal of Operational Research, Elsevier, vol. 242(3), pages 756-768.
    4. Chen, Qingfeng & Li, Kunpeng & Liu, Zhixue, 2014. "Model and algorithm for an unpaired pickup and delivery vehicle routing problem with split loads," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 69(C), pages 218-235.
    5. Janssens, Jochen & Van den Bergh, Joos & Sörensen, Kenneth & Cattrysse, Dirk, 2015. "Multi-objective microzone-based vehicle routing for courier companies: From tactical to operational planning," European Journal of Operational Research, Elsevier, vol. 242(1), pages 222-231.
    6. Wei, Lijun & Zhang, Zhenzhen & Zhang, Defu & Lim, Andrew, 2015. "A variable neighborhood search for the capacitated vehicle routing problem with two-dimensional loading constraints," European Journal of Operational Research, Elsevier, vol. 243(3), pages 798-814.
    7. repec:eee:jomega:v:76:y:2018:i:c:p:85-99 is not listed on IDEAS
    8. Park, Junhyuk & Tae, Hyunchul & Kim, Byung-In, 2012. "A post-improvement procedure for the mixed load school bus routing problem," European Journal of Operational Research, Elsevier, vol. 217(1), pages 204-213.
    9. Wilson, Duncan T. & Hawe, Glenn I. & Coates, Graham & Crouch, Roger S., 2013. "A multi-objective combinatorial model of casualty processing in major incident response," European Journal of Operational Research, Elsevier, vol. 230(3), pages 643-655.
    10. Fung, Richard Y.K. & Liu, Ran & Jiang, Zhibin, 2013. "A memetic algorithm for the open capacitated arc routing problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 50(C), pages 53-67.
    11. repec:eee:ejores:v:265:y:2018:i:1:p:316-327 is not listed on IDEAS
    12. Park, Junhyuk & Kim, Byung-In, 2010. "The school bus routing problem: A review," European Journal of Operational Research, Elsevier, vol. 202(2), pages 311-319, April.
    13. Tu, Wei & Fang, Zhixiang & Li, Qingquan & Shaw, Shih-Lung & Chen, BiYu, 2014. "A bi-level Voronoi diagram-based metaheuristic for a large-scale multi-depot vehicle routing problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 61(C), pages 84-97.
    14. Vidal, Thibaut & Crainic, Teodor Gabriel & Gendreau, Michel & Prins, Christian, 2013. "Heuristics for multi-attribute vehicle routing problems: A survey and synthesis," European Journal of Operational Research, Elsevier, vol. 231(1), pages 1-21.
    15. Kuo, Tsai Chi & Chen, Gary Yu-Hsin & Wang, Miao Ling & Ho, Ming Way, 2014. "Carbon footprint inventory route planning and selection of hot spot suppliers," International Journal of Production Economics, Elsevier, vol. 150(C), pages 125-139.

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