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Optimal maintenance of a production-inventory system with idle periods

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  • Karamatsoukis, C.C.
  • Kyriakidis, E.G.

Abstract

In this paper we consider a production-inventory system in which an input generating installation supplies a buffer with a raw material and a production unit pulls the raw material from the buffer with constant rate. The installation deteriorates in time and the problem of its optimal preventive maintenance is considered. It is assumed that the installation after the completion of its maintenance remains idle until the buffer is evacuated. Under a suitable cost structure it is shown that the average-cost optimal policy for fixed buffer content is of control-limit type, i.e. it prescribes a preventive maintenance of the installation if and only if its degree of deterioration is greater than or equal to a critical level. Using the usual regenerative argument, the average cost of a control-limit policy is computed exactly and then, the optimal control-limit policy is determined. Furthermore, the stationary probabilities of the system under the optimal policy are computed.

Suggested Citation

  • Karamatsoukis, C.C. & Kyriakidis, E.G., 2009. "Optimal maintenance of a production-inventory system with idle periods," European Journal of Operational Research, Elsevier, vol. 196(2), pages 744-751, July.
    • Handle: RePEc:eee:ejores:v:196:y:2009:i:2:p:744-751
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    References listed on IDEAS

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    Cited by:

    1. Wee, Hui Ming & Widyadana, Gede Agus, 2013. "A production model for deteriorating items with stochastic preventive maintenance time and rework process with FIFO rule," Omega, Elsevier, vol. 41(6), pages 941-954.
    2. Nabil Nahas, 2017. "Buffer allocation and preventive maintenance optimization in unreliable production lines," Journal of Intelligent Manufacturing, Springer, vol. 28(1), pages 85-93, January.
    3. Karamatsoukis, C.C. & Kyriakidis, E.G., 2010. "Optimal maintenance of two stochastically deteriorating machines with an intermediate buffer," European Journal of Operational Research, Elsevier, vol. 207(1), pages 297-308, November.
    4. Shuyuan Gan & Bolun Wang & Zhifang Song, 2021. "A Combined Maintenance Strategy Considering Spares, Buffer, and Quality," Journal of Risk and Reliability, , vol. 235(3), pages 431-445, June.

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