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Optimization of continuous and discrete scheduled times for a cumulative damage system with age-dependent maintenance

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  • Chin-Chih Chang
  • Yen-Luan Chen

Abstract

This paper presents a preventive replacement problem when a system is operating successive works with random times and suffering stochastic shocks. The works cause random amount additive damage to the system, and the system fails whenever the cumulative damage reaches a failure level threshold. As an external shock occurs, the system experiences one of the two types of shocks with age-dependent maintenance mechanism: type-I (minor) shock is rectified by a minimal repair, or type-II (catastrophic) shock causes the system to fail. To control the deterioration process, preventive replacement is scheduled to replace the system at a continuous age T or at a discrete number N of working cycles, whichever occurs first, and corrective replacement is performed immediately whenever the system fails due to either shock or damage. The optimal preventive replacement schedule that minimizes the expected cost rate is discussed analytically and computed numerically. The proposed model provides a general framework for analyzing maintenance policies and extends several existing results.

Suggested Citation

  • Chin-Chih Chang & Yen-Luan Chen, 2019. "Optimization of continuous and discrete scheduled times for a cumulative damage system with age-dependent maintenance," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 48(17), pages 4261-4277, September.
    • Handle: RePEc:taf:lstaxx:v:48:y:2019:i:17:p:4261-4277
    DOI: 10.1080/03610926.2018.1491992
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    Cited by:

    1. Xufeng Zhao & Mingchih Chen & Toshio Nakagawa, 2022. "Periodic replacement policies with shortage and excess costs," Annals of Operations Research, Springer, vol. 311(1), pages 469-487, April.

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