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Opportunity‐based age replacement: Exponentially distributed times between opportunities

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  • Rommert Dekker
  • Matthijs C. Dijkstra

Abstract

This article gives a full analysis of a component‐replacement model in which preventive replacements are only possible at maintenance opportunities. These opportunities arise according to a Poisson process, independently of failures of the component. Conditions for the existence of a unique average optimal control limit policy are established and an equation characterizing the optimal policy and minimal average costs is derived. An important result is that the optimal policy can be described as a so‐called one‐opportunity‐look‐ahead policy. Such policies play an important role as heuristics in more general models. It is shown that there is a correspondence with the well‐known age‐replacement model, which can be considered as an extreme case of the model. Finally, some numerical results are given.

Suggested Citation

  • Rommert Dekker & Matthijs C. Dijkstra, 1992. "Opportunity‐based age replacement: Exponentially distributed times between opportunities," Naval Research Logistics (NRL), John Wiley & Sons, vol. 39(2), pages 175-190, March.
    • Handle: RePEc:wly:navres:v:39:y:1992:i:2:p:175-190
    DOI: 10.1002/1520-6750(199203)39:23.0.CO;2-Y
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    References listed on IDEAS

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    1. Dekker, Rommert & Smeitink, Eric, 1991. "Opportunity-based block replacement," European Journal of Operational Research, Elsevier, vol. 53(1), pages 46-63, July.
    2. Menachem Berg, 1978. "General trigger‐off replacement procedures for two‐unit systems," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 25(1), pages 15-29, March.
    3. Vanneste, S.G., 1991. "A Markov model for opportunity maintenance," Research Memorandum FEW 476, Tilburg University, School of Economics and Management.
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    Cited by:

    1. Zheng, Junjun & Okamura, Hiroyuki & Dohi, Tadashi, 2021. "Age replacement with Markovian opportunity process," Reliability Engineering and System Safety, Elsevier, vol. 216(C).
    2. Wu, Jing & Qian, Cunhua & Dohi, Tadashi, 2024. "Optimal opportunity-based age replacement policies in discrete time," Reliability Engineering and System Safety, Elsevier, vol. 241(C).
    3. D Venkat & F P A Coolen & P Coolen-Schrijner, 2010. "Extended opportunity-based age replacement with a one-cycle criterion," Journal of Risk and Reliability, , vol. 224(1), pages 55-62, March.
    4. P Coolen-Schrijner & F. P. A. Coolen, 2006. "On Optimality Criteria for Age Replacement," Journal of Risk and Reliability, , vol. 220(1), pages 21-29, June.
    5. Jiang, R., 2018. "Performance evaluation of seven optimization models of age replacement policy," Reliability Engineering and System Safety, Elsevier, vol. 180(C), pages 302-311.

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