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Erratum to: A Branch-and-Price algorithm for two multi-compartment vehicle routing problems

Author

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  • Samira Mirzaei

    (Aarhus University)

  • Sanne Wøhlk

    (Aarhus University)

Abstract

Despite the vast body of literature on vehicle routing problems, little attention has been paid to multi-compartment vehicle routing problems that investigate transportation of different commodities on the same vehicle, but in different compartments. In this project, we present two strategically different versions of the MCVRP in general settings. In the first version, different commodities may be delivered to the customer by different vehicles, but the full amount of each product must be delivered by a single vehicle. In the second version, each customer may only be serviced by a single vehicle, which must deliver the full amount of all commodities demanded by that customer. We present a Branch-and-Price algorithm for solving the two versions of the problem to optimality and we analyze the effect of the strategic decision of whether or not to allow multiple visits to the same customer by comparing the optimal costs of the two versions. Computational results are presented for instances with up to 100 customers and the algorithm can solve instances with up to 50 customers and 4 commodities to optimality.

Suggested Citation

  • Samira Mirzaei & Sanne Wøhlk, 2017. "Erratum to: A Branch-and-Price algorithm for two multi-compartment vehicle routing problems," EURO Journal on Transportation and Logistics, Springer;EURO - The Association of European Operational Research Societies, vol. 6(2), pages 185-218, June.
    • Handle: RePEc:spr:eurjtl:v:6:y:2017:i:2:d:10.1007_s13676-017-0106-7
    DOI: 10.1007/s13676-017-0106-7
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    1. François Vanderbeck, 2000. "On Dantzig-Wolfe Decomposition in Integer Programming and ways to Perform Branching in a Branch-and-Price Algorithm," Operations Research, INFORMS, vol. 48(1), pages 111-128, February.
    2. Muyldermans, L. & Pang, G., 2010. "On the benefits of co-collection: Experiments with a multi-compartment vehicle routing algorithm," European Journal of Operational Research, Elsevier, vol. 206(1), pages 93-103, October.
    3. van der Bruggen, Lambert & Gruson, Ruud & Salomon, Marc, 1995. "Reconsidering the distribution structure of gasoline products for a large oil company," European Journal of Operational Research, Elsevier, vol. 81(3), pages 460-473, March.
    4. Henke, Tino & Speranza, M. Grazia & Wäscher, Gerhard, 2015. "The multi-compartment vehicle routing problem with flexible compartment sizes," European Journal of Operational Research, Elsevier, vol. 246(3), pages 730-743.
    5. Coelho, Leandro C. & Laporte, Gilbert, 2015. "Classification, models and exact algorithms for multi-compartment delivery problems," European Journal of Operational Research, Elsevier, vol. 242(3), pages 854-864.
    6. George B. Dantzig & Philip Wolfe, 1960. "Decomposition Principle for Linear Programs," Operations Research, INFORMS, vol. 8(1), pages 101-111, February.
    7. Gerald G. Brown & Carol J. Ellis & Glenn W. Graves & David Ronen, 1987. "Real-Time, Wide Area Dispatch of Mobil Tank Trucks," Interfaces, INFORMS, vol. 17(1), pages 107-120, February.
    8. Cornillier, Fabien & Boctor, Fayez F. & Laporte, Gilbert & Renaud, Jacques, 2008. "A heuristic for the multi-period petrol station replenishment problem," European Journal of Operational Research, Elsevier, vol. 191(2), pages 295-305, December.
    9. Gerald G. Brown & Glenn W. Graves, 1981. "Real-Time Dispatch of Petroleum Tank Trucks," Management Science, INFORMS, vol. 27(1), pages 19-32, January.
    10. F Cornillier & F F Boctor & G Laporte & J Renaud, 2008. "An exact algorithm for the petrol station replenishment problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(5), pages 607-615, May.
    11. Stefan Irnich & Guy Desaulniers, 2005. "Shortest Path Problems with Resource Constraints," Springer Books, in: Guy Desaulniers & Jacques Desrosiers & Marius M. Solomon (ed.), Column Generation, chapter 0, pages 33-65, Springer.
    12. Avella, Pasquale & Boccia, Maurizio & Sforza, Antonio, 2004. "Solving a fuel delivery problem by heuristic and exact approaches," European Journal of Operational Research, Elsevier, vol. 152(1), pages 170-179, January.
    13. Lahyani, Rahma & Coelho, Leandro C. & Khemakhem, Mahdi & Laporte, Gilbert & Semet, Frédéric, 2015. "A multi-compartment vehicle routing problem arising in the collection of olive oil in Tunisia," Omega, Elsevier, vol. 51(C), pages 1-10.
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    Cited by:

    1. Ostermeier, Manuel & Henke, Tino & Hübner, Alexander & Wäscher, Gerhard, 2021. "Multi-compartment vehicle routing problems: State-of-the-art, modeling framework and future directions," European Journal of Operational Research, Elsevier, vol. 292(3), pages 799-817.
    2. Heßler, Katrin, 2021. "Exact algorithms for the multi-compartment vehicle routing problem with flexible compartment sizes," European Journal of Operational Research, Elsevier, vol. 294(1), pages 188-205.
    3. Ostermeier, Manuel & Hübner, Alexander, 2018. "Vehicle selection for a multi-compartment vehicle routing problem," European Journal of Operational Research, Elsevier, vol. 269(2), pages 682-694.
    4. Katrin Heßler, 2020. "Exact Algorithms for the Multi-Compartment Vehicle Routing Problem with Flexible Compartment Sizes," Working Papers 2007, Gutenberg School of Management and Economics, Johannes Gutenberg-Universität Mainz.

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