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Optimal replacement policy for a multistate repairable system

Author

Listed:
  • Y L Zhang

    (Southeast University)

  • R C M Yam

    (City University of Hong Kong)

  • M J Zuo

    (University of Alberta)

Abstract

In this paper, a deteriorating simple repairable system with k + 1 states, including k failure states and one working state, is studied. The system after repair is not ‘as good as new’ and the deterioration of the system is stochastic. Under these assumptions, we study a replacement policy, called policy N, based on the failure number of the system. The objective is to maximize the long-run expected profit per unit time. The explicit expression of the long-run expected profit per unit time is derived and the corresponding optimal solution may be determined analytically or numerically. Furthermore, we prove that the model for the multistate system in this paper forms a general monotone process model which includes the geometric process repair model as a special case. A numerical example is given to illustrate the theoretical results.

Suggested Citation

  • Y L Zhang & R C M Yam & M J Zuo, 2002. "Optimal replacement policy for a multistate repairable system," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 53(3), pages 336-341, March.
    • Handle: RePEc:pal:jorsoc:v:53:y:2002:i:3:d:10.1057_palgrave.jors.2601277
    DOI: 10.1057/palgrave.jors.2601277
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    Citations

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    Cited by:

    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. Nahas, Nabil & Khatab, Abdelhakim & Ait-Kadi, Daoud & Nourelfath, Mustapha, 2008. "Extended great deluge algorithm for the imperfect preventive maintenance optimization of multi-state systems," Reliability Engineering and System Safety, Elsevier, vol. 93(11), pages 1658-1672.
    3. Zhang, Yuan Lin & Wang, Guan Jun, 2007. "A deteriorating cold standby repairable system with priority in use," European Journal of Operational Research, Elsevier, vol. 183(1), pages 278-295, November.
    4. Fitouhi, Mohamed-Chahir & Nourelfath, Mustapha & Gershwin, Stanley B., 2017. "Performance evaluation of a two-machine line with a finite buffer and condition-based maintenance," Reliability Engineering and System Safety, Elsevier, vol. 166(C), pages 61-72.
    5. Nourelfath, Mustapha & Châtelet, Eric & Nahas, Nabil, 2012. "Joint redundancy and imperfect preventive maintenance optimization for series–parallel multi-state degraded systems," Reliability Engineering and System Safety, Elsevier, vol. 103(C), pages 51-60.
    6. Zhang, Yuan Lin & Yam, Richard C.M. & Zuo, Ming J., 2007. "A bivariate optimal replacement policy for a multistate repairable system," Reliability Engineering and System Safety, Elsevier, vol. 92(4), pages 535-542.
    7. Leung, Kit Nam Francis & Zhang, Yuan Lin & Lai, Kin Keung, 2011. "Analysis for a two-dissimilar-component cold standby repairable system with repair priority," Reliability Engineering and System Safety, Elsevier, vol. 96(11), pages 1542-1551.

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