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Optimal maintenance of systems with Markovian mission and deterioration


  • Çekyay, Bora
  • Özekici, Süleyman


We consider the maintenance of a mission-based system that is designed to perform missions consisting of a random sequence of phases or stages with random durations. A finite state Markov process describes the mission process. The age or deterioration process of the system is described by another finite state Markov process whose generator depends on the phases of the mission. We discuss optimal repair and optimal replacement problems, and characterize the optimal policies under some monotonicity assumptions. We also provide numerical illustrations to demonstrate the structure of the optimal policies.

Suggested Citation

  • Çekyay, Bora & Özekici, Süleyman, 2012. "Optimal maintenance of systems with Markovian mission and deterioration," European Journal of Operational Research, Elsevier, vol. 219(1), pages 123-133.
  • Handle: RePEc:eee:ejores:v:219:y:2012:i:1:p:123-133
    DOI: 10.1016/j.ejor.2011.12.037

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    References listed on IDEAS

    1. Jardine, A. K. S. & Buzacott, J. A., 1985. "Equipment reliability and maintenance," European Journal of Operational Research, Elsevier, vol. 19(3), pages 285-296, March.
    2. Çekyay, B. & Özekici, S., 2010. "Mean time to failure and availability of semi-Markov missions with maximal repair," European Journal of Operational Research, Elsevier, vol. 207(3), pages 1442-1454, December.
    3. Ozekici, Suleyman, 1995. "Optimal maintenance policies in random environments," European Journal of Operational Research, Elsevier, vol. 82(2), pages 283-294, April.
    4. Peter Kolesar, 1966. "Minimum Cost Replacement Under Markovian Deterioration," Management Science, INFORMS, vol. 12(9), pages 694-706, May.
    5. Wang, Hongzhou, 2002. "A survey of maintenance policies of deteriorating systems," European Journal of Operational Research, Elsevier, vol. 139(3), pages 469-489, June.
    6. Cho, Danny I. & Parlar, Mahmut, 1991. "A survey of maintenance models for multi-unit systems," European Journal of Operational Research, Elsevier, vol. 51(1), pages 1-23, March.
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