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A branch-and-price algorithm for the Vehicle Routing Problem with Deliveries, Selective Pickups and Time Windows

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  • Gutiérrez-Jarpa, Gabriel
  • Desaulniers, Guy
  • Laporte, Gilbert
  • Marianov, Vladimir

Abstract

In the Vehicle Routing Problem with Deliveries, Selective Pickups and Time Windows, the set of customers is the union of delivery customers and pickup customers. A fleet of identical capacitated vehicles based at the depot must perform all deliveries and profitable pickups while respecting time windows. The objective is to minimize routing costs, minus the revenue associated with the pickups. Five variants of the problem are considered according to the order imposed on deliveries and pickups. An exact branch-and-price algorithm is developed for the problem. Computational results are reported for instances containing up to 100 customers.

Suggested Citation

  • Gutiérrez-Jarpa, Gabriel & Desaulniers, Guy & Laporte, Gilbert & Marianov, Vladimir, 2010. "A branch-and-price algorithm for the Vehicle Routing Problem with Deliveries, Selective Pickups and Time Windows," European Journal of Operational Research, Elsevier, vol. 206(2), pages 341-349, October.
  • Handle: RePEc:eee:ejores:v:206:y:2010:i:2:p:341-349
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    References listed on IDEAS

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    1. 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.
    2. 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;Sociedad de Estadística e Investigación Operativa, vol. 15(1), pages 45-47, July.
    3. Hoff, Arild & Gribkovskaia, Irina & Laporte, Gilbert & Løkketangen, Arne, 2009. "Lasso solution strategies for the vehicle routing problem with pickups and deliveries," European Journal of Operational Research, Elsevier, vol. 192(3), pages 755-766, February.
    4. 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;Sociedad de Estadística e Investigación Operativa, vol. 15(1), pages 1-31, July.
    5. Villeneuve, Daniel & Desaulniers, Guy, 2005. "The shortest path problem with forbidden paths," European Journal of Operational Research, Elsevier, vol. 165(1), pages 97-107, August.
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    Citations

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    Cited by:

    1. Germs, Remco & Van Foreest, Nicky D., 2011. "Admission policies for the customized stochastic lot scheduling problem with strict due-dates," European Journal of Operational Research, Elsevier, vol. 213(2), pages 375-383, September.
    2. Bai, Ruibin & Xue, Ning & Chen, Jianjun & Roberts, Gethin Wyn, 2015. "A set-covering model for a bidirectional multi-shift full truckload vehicle routing problem," Transportation Research Part B: Methodological, Elsevier, vol. 79(C), pages 134-148.
    3. Miranda, Pablo A. & Blazquez, Carola A. & Vergara, Rodrigo & Weitzler, Sebastian, 2015. "A novel methodology for designing a household waste collection system for insular zones," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 77(C), pages 227-247.
    4. Qiu, Xiaoqiu & Feuerriegel, Stefan & Neumann, Dirk, 2017. "Making the most of fleets: A profit-maximizing multi-vehicle pickup and delivery selection problem," European Journal of Operational Research, Elsevier, vol. 259(1), pages 155-168.
    5. Luo, Zhixing & Qin, Hu & Lim, Andrew, 2014. "Branch-and-price-and-cut for the multiple traveling repairman problem with distance constraints," European Journal of Operational Research, Elsevier, vol. 234(1), pages 49-60.
    6. repec:spr:ijsaem:v:9:y:2018:i:1:d:10.1007_s13198-016-0493-4 is not listed on IDEAS
    7. 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.
    8. Meng, Qiang & Wang, Shuaian & Lee, Chung-Yee, 2015. "A tailored branch-and-price approach for a joint tramp ship routing and bunkering problem," Transportation Research Part B: Methodological, Elsevier, vol. 72(C), pages 1-19.

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