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Joint production and repair efficiency planning of a multiple deteriorating system

Author

Listed:
  • Héctor Rivera-Gómez

    (Autonomous University of Hidalgo)

  • Jorge Lara

    (Université du Québec)

  • Oscar Montaño-Arango

    (Autonomous University of Hidalgo)

  • Eva Selene Hernández-Gress

    (Autonomous University of Hidalgo)

  • José Ramón Corona-Armenta

    (Autonomous University of Hidalgo)

  • Francisca Santana-Robles

    (Autonomous University of Hidalgo)

Abstract

This paper presents an integrated model for the simultaneous production and repair activity planning of a manufacturing system whose performance output is subject to progressive deterioration. In this context, an appropriate joint control strategy is critical to reduce costs and remain competitive. The obtained control policy balances the amount of maintenance activities needed to increase the availability and reduce defects against the increase in the total cost from downtime and deterioration. The production system consists of an unreliable machine that produces one product type and where unmet demand is backlogged. The rate of defects of the machine depends on its level of deterioration, which is defined through a set of multiple operational states and the age of the machine. Additionally, an intensity control model is adapted to define the repair efficiency applied to the system, aiming to mitigate the effect of deterioration that is mainly observed on the failure intensity of the system. The solution is obtained numerically through the formulation of a Hamilton–Jacobi–Bellman equation. A numerical example is provided and an extensive sensitivity analysis is conducted to validate the obtained results.

Suggested Citation

  • Héctor Rivera-Gómez & Jorge Lara & Oscar Montaño-Arango & Eva Selene Hernández-Gress & José Ramón Corona-Armenta & Francisca Santana-Robles, 2019. "Joint production and repair efficiency planning of a multiple deteriorating system," Flexible Services and Manufacturing Journal, Springer, vol. 31(2), pages 446-471, June.
    • Handle: RePEc:spr:flsman:v:31:y:2019:i:2:d:10.1007_s10696-018-9313-2
    DOI: 10.1007/s10696-018-9313-2
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    References listed on IDEAS

    as
    1. Ahmadi, Reza & Newby, Martin, 2011. "Maintenance scheduling of a manufacturing system subject to deterioration," Reliability Engineering and System Safety, Elsevier, vol. 96(10), pages 1411-1420.
    2. M. Assid & A. Gharbi & A. Hajji, 2015. "Joint production, setup and preventive maintenance policies of unreliable two-product manufacturing systems," International Journal of Production Research, Taylor & Francis Journals, vol. 53(15), pages 4668-4683, August.
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    Cited by:

    1. Xiufang Zhang & Tangbin Xia & Ershun Pan & Yuqing Li, 2022. "Integrated optimization on production scheduling and imperfect preventive maintenance considering multi-degradation and learning-forgetting effects," Flexible Services and Manufacturing Journal, Springer, vol. 34(2), pages 451-482, June.

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