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On Computational Procedures for Optimising an Omni-Channel Inventory Control Model

Published: 04 July 2022 Publication History

Abstract

Dynamic programming (DP) and specifically Markov Decision Problems (MDP) are often seen in inventory control as a theoretical path towards optimal policies, which are (often) not tractable due to the curse of dimensionality. A careful bounding of decision and state space and use of resources may provide the optimal policy for realistic instances despite the dimensionality of the problem. We will illustrate this process for an omni-channel inventory control model where the first dimension problem is to keep track of the outstanding ordered quantities and the second dimension is to keep track of items sold online that can be returned.

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Goedhart, J., Haijema, R., Akkerman, R.: Inventory rationing and replenishment for an omni-channel retailer. Comput. Oper. Res. 140, 105647 (2022)
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Hendrix EMT, Kortenhorst C, and Ortega GL On computational procedures for value iteration in inventory control IFAC-PapersOnLine 2019 52 13 1484-1489
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Puterman ML Markov Decision Processes: Discrete Stochastic Dynamic Programming 1994 1 New York John Wiley & Sons Inc.
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Silver, E., Pyke, D., Peterson, R.: Inventory Management and Production Planning and Scheduling. Wiley (1998)
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Zipkin P Old and new methods for lost-sales inventory systems Oper. Res. 2008 56 5 1256-1263

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    cover image Guide Proceedings
    Computational Science and Its Applications – ICCSA 2022 Workshops: Malaga, Spain, July 4–7, 2022, Proceedings, Part II
    Jul 2022
    694 pages
    ISBN:978-3-031-10561-6
    DOI:10.1007/978-3-031-10562-3
    Open Access This chapter is licensed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made.The images or other third party material in this chapter are included in the chapter's Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the chapter's Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.

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    Springer-Verlag

    Berlin, Heidelberg

    Publication History

    Published: 04 July 2022

    Author Tags

    1. Inventory control
    2. Markov decision problems
    3. Stochastic processes
    4. Value iteration
    5. Omni-channel retailing

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