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Optimal Maintenance/Replacement-Policy for Deteriorating Systems under Two-Phase Maintenance Strategy

Author

Listed:
  • Moustafa M. S.

    (Department of Mathematics and Actuarial Science, The American University in Cairo, Cairo, Egypt)

  • Abdel Maksoud E. Y.

    (Department of Engineering, Mathematics and Physics, Faculty of Engineering, Cairo University, Cairo Egypt)

Abstract

In this paper, a maintenance strategy is proposed for a multi-state deteriorating system subject to both aging and fatal shocks under continuous inspection. The strategy allows one of the three actions “do nothing”, “maintenance” or “replacement” to be taken at each state of the system. A two-phase maintenance is applied and an optimal state-dependent maintenance/replacement policy for the system is derived. At each state, only a given number of successive minimal repairs can be performed, which is followed by one minimal maintenance. The overall number of allowable minimal maintenances for all states may not exceed a given limit. An iteration algorithm is used for determining the optimal policy, which minimizes the long-run cost per time of the system. Numerical examples are given to illustrate and evaluate the performance of the proposed policy.

Suggested Citation

  • Moustafa M. S. & Abdel Maksoud E. Y., 2008. "Optimal Maintenance/Replacement-Policy for Deteriorating Systems under Two-Phase Maintenance Strategy," Stochastics and Quality Control, De Gruyter, vol. 23(1), pages 39-54, January.
    • Handle: RePEc:bpj:ecqcon:v:23:y:2008:i:1:p:39-54:n:5
    DOI: 10.1515/EQC.2008.39
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    References listed on IDEAS

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    1. Chen, Mingchih & Feldman, Richard M., 1997. "Optimal replacement policies with minimal repair and age-dependent costs," European Journal of Operational Research, Elsevier, vol. 98(1), pages 75-84, April.
    2. Ohnishi, Masamitsu & Kawai, Hajime & Mine, Hisashi, 1986. "An optimal inspection and replacement policy under incomplete state information," European Journal of Operational Research, Elsevier, vol. 27(1), pages 117-128, October.
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