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An Optimization Methodology for Condition Based Minimal and Major Preventive Maintenance

Author

Listed:
  • Rao P. Naga Srinivasa

    (Reliability Engineering Centre, Indian Institute of Technology, Kharagpur-721 302 West Bengal, India.)

  • Naikan V. N. Achutha

    (Reliability Engineering Centre, Indian Institute of Technology, Kharagpur-721 302 West Bengal, India.)

Abstract

This paper proposes a condition based preventive maintenance (CBPM) policy for Markov deteriorating systems. The proposed model considers deterioration and random failures with minimal and major preventive maintenance (PM). Minimal repairs are carried out after every random failure, and the device is getting replaced after the occurrence of the deterioration failure. The system undergoes random inspections to assess the condition; mean time between inspections is exponentially distributed. Based upon the observed condition of the device, do nothing, minimal PM, and major PM may take place. Minimal PM makes the system one deterioration stage younger, while Major PM makes the system τ deterioration stages (τ > 1) younger. The proposed models consider increasing intensity for the random failures. An exact recursive algorithm computes the steady-state probabilities of the system. Optimal solutions of the model are derived based on two criteria, viz., (a) availability maximization, and (b) total cost minimization.

Suggested Citation

  • Rao P. Naga Srinivasa & Naikan V. N. Achutha, 2006. "An Optimization Methodology for Condition Based Minimal and Major Preventive Maintenance," Stochastics and Quality Control, De Gruyter, vol. 21(1), pages 127-141, January.
    • Handle: RePEc:bpj:ecqcon:v:21:y:2006:i:1:p:127-141:n:2
    DOI: 10.1515/EQC.2006.127
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    References listed on IDEAS

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    1. Pham, Hoang & Wang, Hongzhou, 1996. "Imperfect maintenance," European Journal of Operational Research, Elsevier, vol. 94(3), pages 425-438, November.
    2. Wang, Hongzhou, 2002. "A survey of maintenance policies of deteriorating systems," European Journal of Operational Research, Elsevier, vol. 139(3), pages 469-489, June.
    3. Rommert Dekker & Ralph Wildeman & Frank Duyn Schouten, 1997. "A review of multi-component maintenance models with economic dependence," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 45(3), pages 411-435, October.
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