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Optimal Production and Setup Scheduling: A One-Machine, Two-Product System

Author

Listed:
  • Jun Yang
  • Houmina Yan
  • M.I. Taksar

Abstract

This paper studies the scheduling problem for two products on a single production facility. The objective is to specify a production and setup policy that minimizes the average inventory, backlog, and setup costs. Assuming that the production rate can be adjusted during the production runs, we provide a close form for an optimal production and setup schedule. Dynamic programming and Hamilton–Jacobi–Bellman equation is used to verify the optimality of the obtained policy. Copyright Kluwer Academic Publishers 2000

Suggested Citation

  • Jun Yang & Houmina Yan & M.I. Taksar, 2000. "Optimal Production and Setup Scheduling: A One-Machine, Two-Product System," Annals of Operations Research, Springer, vol. 98(1), pages 291-311, December.
    • Handle: RePEc:spr:annopr:v:98:y:2000:i:1:p:291-311:10.1023/a:1019268710146
    DOI: 10.1023/A:1019268710146
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    Citations

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    Cited by:

    1. Jean-Pierre Kenné & Ali Gharbi & Armel Leonel Kuegoua Takengny & Morad Assid, 2024. "Optimal Control Policy of Unreliable Production Systems Generating Greenhouse Gas Emission," Sustainability, MDPI, vol. 16(13), pages 1-21, July.
    2. Jodlbauer, Herbert, 2006. "An approach for integrated scheduling and lot-sizing," European Journal of Operational Research, Elsevier, vol. 172(2), pages 386-400, July.
    3. Ali Gharbi & Jean-Pierre Kenné & Armel Leonel Kuegoua Takengny & Morad Assid, 2024. "Joint Emission-Dependent Optimal Production and Preventive Maintenance Policies of a Deteriorating Manufacturing System," Sustainability, MDPI, vol. 16(14), pages 1-23, July.
    4. Weidenhiller, Andreas & Jodlbauer, Herbert, 2009. "Equivalence classes of problem instances for a continuous-time lot sizing and scheduling problem," European Journal of Operational Research, Elsevier, vol. 199(1), pages 139-149, November.
    5. Polotski, Vladimir & Kenne, Jean-Pierre & Gharbi, Ali, 2017. "Production and setup policy optimization for hybrid manufacturing–remanufacturing systems," International Journal of Production Economics, Elsevier, vol. 183(PB), pages 322-333.

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