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Lasso solution strategies for the vehicle routing problem with pickups and deliveries

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Author Info

  • Hoff, Arild
  • Gribkovskaia, Irina
  • Laporte, Gilbert
  • Løkketangen, Arne
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    Abstract

    This paper considers the vehicle routing problem with pickups and deliveries (VRPPD) where the same customer may require both a delivery and a pickup. This is the case, for instance, of breweries that deliver beer or mineral water bottles to a set of customers and collect empty bottles from the same customers. It is possible to relax the customary practice of performing a pickup when delivering at a customer, and postpone the pickup until the vehicle has sufficient free capacity. In the case of breweries, these solutions will often consist of routes in which bottles are first delivered until the vehicle is partly unloaded, then both pickup and delivery are performed at the remaining customers, and finally empty bottles are picked up from the first visited customers. These customers are revisited in reverse order, thus giving rise to lasso shaped solutions. Another possibility is to relax the traditional problem even more and allow customers to be visited twice either in two different routes or at different times on the same route, giving rise to a general solution. This article develops a tabu search algorithm capable of producing lasso solutions. A general solution can be reached by first duplicating each customer and generating a Hamiltonian solution on the extended set of customers. Test results show that while general solutions outperform other solution shapes in term of cost, their computation can be time consuming. The best lasso solution generated within a given time limit is generally better than the best general solution produced with the same computing effort.

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    Bibliographic Info

    Article provided by Elsevier in its journal European Journal of Operational Research.

    Volume (Year): 192 (2009)
    Issue (Month): 3 (February)
    Pages: 755-766

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    Handle: RePEc:eee:ejores:v:192:y:2009:i:3:p:755-766

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    Web page: http://www.elsevier.com/locate/eor

    Related research

    Keywords: Vehicle routing problem Pickup and delivery Tabu search Lasso solutions;

    References

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    Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
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    1. Mosheiov, Gur, 1994. "The Travelling Salesman Problem with pick-up and delivery," European Journal of Operational Research, Elsevier, vol. 79(2), pages 299-310, December.
    2. G. Nagy & S. Salhi, 1998. "The many-to-many location-routing problem," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer, vol. 6(2), pages 261-275, December.
    3. Nagy, Gabor & Salhi, Said, 2005. "Heuristic algorithms for single and multiple depot vehicle routing problems with pickups and deliveries," European Journal of Operational Research, Elsevier, vol. 162(1), pages 126-141, April.
    4. Arild Hoff & Arne Løkketangen, 2006. "Creating lasso-solutions for the traveling salesman problem with pickup and delivery by Tabu search," Central European Journal of Operations Research, Springer, vol. 14(2), pages 125-140, June.
    5. Wasner, Michael & Zapfel, Gunther, 2004. "An integrated multi-depot hub-location vehicle routing model for network planning of parcel service," International Journal of Production Economics, Elsevier, vol. 90(3), pages 403-419, August.
    6. Gribkovskaia, Irina & Halskau, Oyvind sr. & Laporte, Gilbert & Vlcek, Martin, 2007. "General solutions to the single vehicle routing problem with pickups and deliveries," European Journal of Operational Research, Elsevier, vol. 180(2), pages 568-584, July.
    7. Gerardo Berbeglia & Jean-François Cordeau & Irina Gribkovskaia & Gilbert Laporte, 2007. "Static pickup and delivery problems: a classification scheme and survey," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer, vol. 15(1), pages 1-31, July.
    8. Gerardo Berbeglia & Jean-François Cordeau & Irina Gribkovskaia & Gilbert Laporte, 2007. "Rejoinder on: Static pickup and delivery problems: a classification scheme and survey," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer, vol. 15(1), pages 45-47, July.
    9. 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.
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    Cited by:
    1. Ting, Chuan-Kang & Liao, Xin-Lan, 2013. "The selective pickup and delivery problem: Formulation and a memetic algorithm," International Journal of Production Economics, Elsevier, vol. 141(1), pages 199-211.
    2. Pureza, Vitória & Morabito, Reinaldo & Reimann, Marc, 2012. "Vehicle routing with multiple deliverymen: Modeling and heuristic approaches for the VRPTW," European Journal of Operational Research, Elsevier, vol. 218(3), pages 636-647.
    3. Yu, Junfang & Dong, Yuanyuan, 2013. "Maximizing profit for vehicle routing under time and weight constraints," International Journal of Production Economics, Elsevier, vol. 145(2), pages 573-583.

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