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The Split Delivery Vehicle Routing Problem with Time Windows and Customer Inconvenience Constraints

Author

Listed:
  • Nicola Bianchessi

    (Johannes Gutenberg University Mainz, University of Brescia)

  • Michael Drexl

    (Johannes Gutenberg University Mainz, Deggendorf Institute of Technology)

  • Stefan Irnich

    (Johannes Gutenberg University Mainz)

Abstract

In classical routing problems, each customer is visited exactly once. By contrast, when allowing split deliveries, customers may be served through multiple visits. This potentially results in substantial savings in travel costs. Even if split deliveries are bene?cial to the transport company, several visits may be undesirable on the customer side: at each visit the customer has to interrupt his primary activities and handle the goods receipt. The contribution of the present paper consists in a thorough analysis of the possibilities and limitations of split delivery distribution strategies. To this end, we investigate two different types of measures for limiting customer inconvenience (a maximum number of visits and the temporal synchronization of deliveries) and evaluate the impact of these measures on carrier e?ciency by means of different objective functions (comprising variable routing costs, costs related to route durations, ?xed ?eet costs). We consider the vehicle routing problem with time windows in which split deliveries are allowed (SDVRPTW) and de?ne the corresponding generalization that takes into account customer inconvenience constraints (SDVRPTW-IC). We design an extended branch-and-cut algorithm to solve the SDVRPTW-IC and report on experimental results showing the impact of customer inconvenience constraints. We ?nally draw useful insights for logistics managers on the basis of the experimental analysis carried out.

Suggested Citation

  • Nicola Bianchessi & Michael Drexl & Stefan Irnich, 2017. "The Split Delivery Vehicle Routing Problem with Time Windows and Customer Inconvenience Constraints," Working Papers 1706, Gutenberg School of Management and Economics, Johannes Gutenberg-Universität Mainz.
    • Handle: RePEc:jgu:wpaper:1706
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    File URL: https://download.uni-mainz.de/RePEc/pdf/Discussion_Paper_1706.pdf
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    References listed on IDEAS

    as
    1. Guy Desaulniers, 2010. "Branch-and-Price-and-Cut for the Split-Delivery Vehicle Routing Problem with Time Windows," Operations Research, INFORMS, vol. 58(1), pages 179-192, February.
    2. C. Archetti & M. Bouchard & G. Desaulniers, 2011. "Enhanced Branch and Price and Cut for Vehicle Routing with Split Deliveries and Time Windows," Transportation Science, INFORMS, vol. 45(3), pages 285-298, August.
    3. Nicola Bianchessi & Stefan Irnich, 2016. "Branch-and-Cut for the Split Delivery Vehicle Routing Problem with Time Windows," Working Papers 1620, Gutenberg School of Management and Economics, Johannes Gutenberg-Universität Mainz.
    4. Irnich, S. & Schneider, M. & Vigo, D., 2014. "Four Variants of the Vehicle Routing Problem," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 63514, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
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    Keywords

    Split delivery vehicle routing problem; Time windows; Synchronization; Maximum number of visits; Branch-and-cut;
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