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The Setup Carryover Assignment Problem

Author

Listed:
  • Nusrat T. Chowdhury

    (Bemidji State University
    University of Windsor)

  • Fazle Baki

    (University of Windsor)

  • A. Azab

    (University of Windsor)

Abstract

In this paper, we introduce the Setup Carryover Assignment Problem (SCAP), which consists of determining the setup carryover plan of multiple items for a given lot size over a finite planning horizon with the objective of maximizing setup cost savings. This problem is an extension of the standard Capacitated Lot Sizing Problem (CLSP). We show that the straightforward linear programming (LP) formulation of the problem provides a fractional solution. However, we propose an alternative integer linear program (ILP) and show that it has a totally unimodular property and thus yields an integer solution. Therefore, SCAP is solvable in polynomial time.

Suggested Citation

  • Nusrat T. Chowdhury & Fazle Baki & A. Azab, 2023. "The Setup Carryover Assignment Problem," SN Operations Research Forum, Springer, vol. 4(2), pages 1-13, June.
    • Handle: RePEc:spr:snopef:v:4:y:2023:i:2:d:10.1007_s43069-023-00207-6
    DOI: 10.1007/s43069-023-00207-6
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    References listed on IDEAS

    as
    1. Allahverdi, Ali, 2015. "The third comprehensive survey on scheduling problems with setup times/costs," European Journal of Operational Research, Elsevier, vol. 246(2), pages 345-378.
    2. Allahverdi, Ali & Soroush, H.M., 2008. "The significance of reducing setup times/setup costs," European Journal of Operational Research, Elsevier, vol. 187(3), pages 978-984, June.
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    Cited by:

    1. Nusrat T. Chowdhury & Mohammed F. Baki & Ahmed Azab, 2024. "A Modeling and Hybridized Decomposition Approach for the Multi-level Capacitated Lot-Sizing Problem with Setup Carryover, Backlogging, and Emission Control," SN Operations Research Forum, Springer, vol. 5(3), pages 1-32, September.

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