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A specialized column generation approach for a vehicle routing problem with demand allocation

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  • A Ghoniem

    (University of Massachusetts, Amherst, USA)

  • C R Scherrer

    (Southern Polytechnic State University, Marietta, USA)

  • S Solak

    (University of Massachusetts, Amherst, USA)

Abstract

Motivated by logistical operations for a food bank, this paper addresses a class of vehicle routing problems with demand allocation considerations over a network of partner agencies locations and candidate delivery sites. Any delivery tour starts at a central depot operated by the food bank and selected delivery sites are sequentially visited in order to supply goods to a set of partner agencies who travel from their respective locations to their assigned delivery sites. The problem is modelled as a mixed-integer programme with the objective of minimizing a weighted average of the distances travelled by delivery vehicles and partner agencies, and is tackled via two heuristics. First, a relax-and-fix heuristic is presented for the proposed model and is computationally enhanced using two symmetry-defeating strategies. Second, the problem is reformulated as a set partitioning model with side packing constraints that prompts a specialized column generation approach. Computational experience is provided using realistic data instances to demonstrate the usefulness of the proposed heuristics and the importance of integrated solution techniques for this class of problems.

Suggested Citation

  • A Ghoniem & C R Scherrer & S Solak, 2013. "A specialized column generation approach for a vehicle routing problem with demand allocation," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 64(1), pages 114-124, January.
    • Handle: RePEc:pal:jorsoc:v:64:y:2013:i:1:p:114-124
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    Cited by:

    1. Wu, Bingqing & Sarker, Bhaba R. & Paudel, Krishna P., 2015. "Sustainable energy from biomass: Biomethane manufacturing plant location and distribution problem," Applied Energy, Elsevier, vol. 158(C), pages 597-608.
    2. Akkerman, Renzo & Buisman, Marjolein & Cruijssen, Frans & de Leeuw, Sander & Haijema, Rene, 2023. "Dealing with donations: Supply chain management challenges for food banks," International Journal of Production Economics, Elsevier, vol. 262(C).
    3. Ohad Eisenhandler & Michal Tzur, 2019. "A Segment-Based Formulation and a Matheuristic for the Humanitarian Pickup and Distribution Problem," Transportation Science, INFORMS, vol. 53(5), pages 1389-1408, September.
    4. Wang, Mengtong & Zhang, Canrong & Bell, Michael G.H. & Miao, Lixin, 2022. "A branch-and-price algorithm for location-routing problems with pick-up stations in the last-mile distribution system," European Journal of Operational Research, Elsevier, vol. 303(3), pages 1258-1276.
    5. Christian Tilk & Katharina Olkis & Stefan Irnich, 2021. "The last-mile vehicle routing problem with delivery options," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 43(4), pages 877-904, December.
    6. Reihaneh, Mohammad & Ghoniem, Ahmed, 2019. "A branch-and-price algorithm for a vehicle routing with demand allocation problem," European Journal of Operational Research, Elsevier, vol. 272(2), pages 523-538.
    7. Mahmoudi, Monirehalsadat & Shirzad, Khadijeh & Verter, Vedat, 2022. "Decision support models for managing food aid supply chains: A systematic literature review," Socio-Economic Planning Sciences, Elsevier, vol. 82(PB).

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