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A Markovian approach for multi-level multi-product multi-period capacitated lot-sizing problem with uncertainty in levels

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  • J. Behnamian
  • S.M.T. Fatemi Ghomi
  • B. Karimi
  • M. Fadaei Moludi

Abstract

This paper considers a multi-level, multi-item, multi-period capacitated lot-sizing problem with sequence-dependent family set-up times, set-up carry over and uncertainty in levels due to uncertainty in inspection, rework and scrap. In this study, we, first, determined total processing time for each product of each family. Then, expected number of times associated with visiting each level of each product as well as amount of raw materials are calculated. We developed a mixed integer linear programming model with a numerical example and sensitivity analysis.

Suggested Citation

  • J. Behnamian & S.M.T. Fatemi Ghomi & B. Karimi & M. Fadaei Moludi, 2017. "A Markovian approach for multi-level multi-product multi-period capacitated lot-sizing problem with uncertainty in levels," International Journal of Production Research, Taylor & Francis Journals, vol. 55(18), pages 5330-5340, September.
    • Handle: RePEc:taf:tprsxx:v:55:y:2017:i:18:p:5330-5340
    DOI: 10.1080/00207543.2017.1311048
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    Cited by:

    1. Li, Yuchen & Saldanha-da-Gama, Francisco & Liu, Ming & Yang, Zaoli, 2023. "A risk-averse two-stage stochastic programming model for a joint multi-item capacitated line balancing and lot-sizing problem," European Journal of Operational Research, Elsevier, vol. 304(1), pages 353-365.

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