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New solution procedures for the order picker routing problem in U-shaped pick areas with a movable depot

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  • Diefenbach, Heiko
  • Emde, Simon
  • Glock, Christoph H.
  • Grosse, Eric H.

Abstract

This paper develops new solution procedures for the order picker routing problem in U-shaped order picking zones with a movable depot, which has so far only been solved using simple heuristics. The paper presents the first exact solution approach, based on combinatorial Benders decomposition, as well as a heuristic approach based on dynamic programming that extends the idea of the venerable sweep algorithm. In a computational study, we demonstrate that the exact approach can solve small instances well, while the heuristic dynamic programming approach is fast and exhibits an average optimality gap close to zero in all test instances. Moreover, we investigate the influence of various storage assignment policies from the literature and compare them to a newly derived policy that is shown to be advantageous under certain circumstances. Secondly, we investigate the effects of having a movable depot compared to a fixed one and the influence of the effort to move the depot.

Suggested Citation

  • Diefenbach, Heiko & Emde, Simon & Glock, Christoph H. & Grosse, Eric H., 2024. "New solution procedures for the order picker routing problem in U-shaped pick areas with a movable depot," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 143907, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    • Handle: RePEc:dar:wpaper:143907
    DOI: 10.1007/s00291-021-00663-8
    Note: for complete metadata visit http://tubiblio.ulb.tu-darmstadt.de/143907/
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    References listed on IDEAS

    as
    1. Kevin Gue & Russell Meller, 2009. "Aisle configurations for unit-load warehouses," IISE Transactions, Taylor & Francis Journals, vol. 41(3), pages 171-182.
    2. Masae, M. & Glock, C. H. & Vichitkunakorn, P., 2021. "A method for efficiently routing order pickers in the leaf warehouse," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 125847, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    3. Masae, Makusee & Glock, Christoph H. & Vichitkunakorn, Panupong, 2021. "A method for efficiently routing order pickers in the leaf warehouse," International Journal of Production Economics, Elsevier, vol. 234(C).
    Full references (including those not matched with items on IDEAS)

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