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Optimum random and age replacement policies for customer-demand multi-state system reliability under imperfect maintenance

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  • Yen-Luan Chen
  • Chin-Chih Chang
  • Dwan-Fang Sheu

Abstract

This paper proposes the generalised random and age replacement policies for a multi-state system composed of multi-state elements. The degradation of the multi-state element is assumed to follow the non-homogeneous continuous time Markov process which is a continuous time and discrete state process. A recursive approach is presented to efficiently compute the time-dependent state probability distribution of the multi-state element. The state and performance distribution of the entire multi-state system is evaluated via the combination of the stochastic process and the Lz-transform method. The concept of customer-centred reliability measure is developed based on the system performance and the customer demand. We develop the random and age replacement policies for an aging multi-state system subject to imperfect maintenance in a failure (or unacceptable) state. For each policy, the optimum replacement schedule which minimises the mean cost rate is derived analytically and discussed numerically.

Suggested Citation

  • Yen-Luan Chen & Chin-Chih Chang & Dwan-Fang Sheu, 2016. "Optimum random and age replacement policies for customer-demand multi-state system reliability under imperfect maintenance," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(5), pages 1130-1141, April.
    • Handle: RePEc:taf:tsysxx:v:47:y:2016:i:5:p:1130-1141
    DOI: 10.1080/00207721.2014.915353
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    References listed on IDEAS

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    1. Soro, Isaac W. & Nourelfath, Mustapha & Aït-Kadi, Daoud, 2010. "Performance evaluation of multi-state degraded systems with minimal repairs and imperfect preventive maintenance," Reliability Engineering and System Safety, Elsevier, vol. 95(2), pages 65-69.
    2. Pham, Hoang & Wang, Hongzhou, 1996. "Imperfect maintenance," European Journal of Operational Research, Elsevier, vol. 94(3), pages 425-438, November.
    3. Lisnianski, Anatoly, 2007. "Extended block diagram method for a multi-state system reliability assessment," Reliability Engineering and System Safety, Elsevier, vol. 92(12), pages 1601-1607.
    4. Richard Barlow & Larry Hunter, 1960. "Optimum Preventive Maintenance Policies," Operations Research, INFORMS, vol. 8(1), pages 90-100, February.
    5. Gwo-Liang Liao, 2013. "Optimal economic production quantity policy for randomly failing process with minimal repair, backorder and preventive maintenance," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(9), pages 1602-1612.
    6. Gede Agus Widyadana & Hui Ming Wee, 2012. "An economic production quantity model for deteriorating items with preventive maintenance policy and random machine breakdown," International Journal of Systems Science, Taylor & Francis Journals, vol. 43(10), pages 1870-1882.
    7. Frank Beichelt, 1993. "A unifying treatment of replacement policies with minimal repair," Naval Research Logistics (NRL), John Wiley & Sons, vol. 40(1), pages 51-67, February.
    8. Ming Tan, Cher & Raghavan, Nagarajan, 2008. "A framework to practical predictive maintenance modeling for multi-state systems," Reliability Engineering and System Safety, Elsevier, vol. 93(8), pages 1138-1150.
    9. Yi Ding & Anatoly Lisnianski & Ilia Frenkel & Lev Khvatskin, 2009. "Optimal corrective maintenance contract planning for aging multi‐state system," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 25(5), pages 612-631, September.
    10. Philip J. Boland, 1982. "Periodic replacement when minimal repair costs vary with time," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 29(4), pages 541-546, December.
    11. Xufeng Zhao & Toshio Nakagawa & Cunhua Qian, 2012. "Optimal imperfect preventive maintenance policies for a used system," International Journal of Systems Science, Taylor & Francis Journals, vol. 43(9), pages 1632-1641.
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