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

Moustafa M. S. and Abdel Maksoud E. Y.
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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

Stochastics and Quality Control, 2008, vol. 23, issue 1, 39-54

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.

Keywords: Multi-state semi-Markovian deteriorating systems; continuous inspection; long-run cost per time; iterative algorithm; minimal repair (search for similar items in EconPapers)
Date: 2008
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DOI: 10.1515/EQC.2008.39

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