IDEAS home Printed from https://ideas.repec.org/p/dar/wpaper/143907.html
   My bibliography  Save this paper

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

Author

Listed:
  • 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/
    as

    Download full text from publisher

    File URL: https://tuprints.ulb.tu-darmstadt.de/23463
    Download Restriction: no
    File URL: https://doi.org/10.1007/s00291-021-00663-8
    Download Restriction: no
    File URL: https://libkey.io/10.1007/s00291-021-00663-8?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    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).
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Katrin Heßler & Stefan Irnich, 2024. "Exact Solution of the Single-Picker Routing Problem with Scattered Storage," INFORMS Journal on Computing, INFORMS, vol. 36(6), pages 1417-1435, December.
    2. Li Zhou & Huwei Liu & Junhui Zhao & Fan Wang & Jianglong Yang, 2022. "Performance Analysis of Picking Routing Strategies in the Leaf Layout Warehouse," Mathematics, MDPI, vol. 10(17), pages 1-28, September.
    3. Heiko Diefenbach & Simon Emde & Christoph H. Glock & Eric H. Grosse, 2022. "New solution procedures for the order picker routing problem in U-shaped pick areas with a movable depot," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 44(2), pages 535-573, June.
    4. Laura Lüke & Katrin Heßler & Stefan Irnich, 2024. "The single picker routing problem with scattered storage: modeling and evaluation of routing and storage policies," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 46(3), pages 909-951, September.
    5. Sainathuni, Bhanuteja & Parikh, Pratik J. & Zhang, Xinhui & Kong, Nan, 2014. "The warehouse-inventory-transportation problem for supply chains," European Journal of Operational Research, Elsevier, vol. 237(2), pages 690-700.
    6. Gharehgozli, A.H. & Roy, D. & de Koster, M.B.M., 2014. "Sea Container Terminals," ERIM Report Series Research in Management ERS-2014-009-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    7. Katrin Heßler & Stefan Irnich, 2023. "Exact Solution of the Single Picker Routing Problem with Scattered Storage," Working Papers 2303, Gutenberg School of Management and Economics, Johannes Gutenberg-Universität Mainz.
    8. Mowrey, Corinne H. & Parikh, Pratik J., 2014. "Mixed-width aisle configurations for order picking in distribution centers," European Journal of Operational Research, Elsevier, vol. 232(1), pages 87-97.
    9. Yeliz Kocaman & Ömer Öztürkoğlu & Şevkinaz Gümüşoğlu, 2021. "Aisle designs in unit-load warehouses with different flow policies of multiple pickup and deposit points," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 29(1), pages 323-355, March.
    10. Atashi Khoei, Arsham & Süral, Haldun & Tural, Mustafa Kemal, 2023. "Energy minimizing order picker forklift routing problem," European Journal of Operational Research, Elsevier, vol. 307(2), pages 604-626.
    11. Derhami, Shahab & Smith, Jeffrey S. & Gue, Kevin R., 2020. "A simulation-based optimization approach to design optimal layouts for block stacking warehouses," International Journal of Production Economics, Elsevier, vol. 223(C).
    12. Bortolini, Marco & Faccio, Maurizio & Gamberi, Mauro & Manzini, Riccardo, 2015. "Diagonal cross-aisles in unit load warehouses to increase handling performance," International Journal of Production Economics, Elsevier, vol. 170(PC), pages 838-849.
    13. Petra Kašparová & Jakub Dyntar, 2021. "Effective Designing of Order Picking Systems Using Dynamic Simulation," Acta Informatica Pragensia, Prague University of Economics and Business, vol. 2021(1), pages 108-120.
    14. Subir S. Rao & Gajendra K. Adil, 2017. "Analytical models for a new turnover-based hybrid storage policy in unit-load warehouses," International Journal of Production Research, Taylor & Francis Journals, vol. 55(2), pages 327-346, January.
    15. Amir Gharehgozli & Nima Zaerpour & Rene Koster, 2020. "Container terminal layout design: transition and future," Maritime Economics & Logistics, Palgrave Macmillan;International Association of Maritime Economists (IAME), vol. 22(4), pages 610-639, December.
    16. Gue, Kevin R. & Ivanović, Goran & Meller, Russell D., 2012. "A unit-load warehouse with multiple pickup and deposit points and non-traditional aisles," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 48(4), pages 795-806.
    17. Grzegorz Zimon, 2019. "The Impact of Quality Management Systems on the Efficiency of Current Assets Management in Small Commercial Enterprises," European Research Studies Journal, European Research Studies Journal, vol. 0(4), pages 308-316.
    18. Öztürkoğlu, Ö. & Gue, K.R. & Meller, R.D., 2014. "A constructive aisle design model for unit-load warehouses with multiple pickup and deposit points," European Journal of Operational Research, Elsevier, vol. 236(1), pages 382-394.
    19. Boysen, Nils & de Koster, René, 2025. "50 years of warehousing research—An operations research perspective," European Journal of Operational Research, Elsevier, vol. 320(3), pages 449-464.
    20. Öztürkoğlu, Ömer & Hoser, Deniz, 2019. "A discrete cross aisle design model for order-picking warehouses," European Journal of Operational Research, Elsevier, vol. 275(2), pages 411-430.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:dar:wpaper:143907. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Dekanatssekretariat (email available below). General contact details of provider: https://edirc.repec.org/data/ivthdde.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.