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The Availability of Inspected Systems Subject to Random Deterioration

  • Georgia-Ann Klutke (a1), Martin A. Wortman (a1) and Hayriye Ayhan (a2)

Abstract

This paper examines the availability of an inspected system where the rate of deterioration is governed by an exogenous random environment. We develop a qualitative result that exposes the relationship among remaining life, deterioration, and repairs. This result requires no specific distributional assumptions. We use this result in developing a simple bound on stationary availability. We investigate these relationships numerically for a Markovian system and provide insights useful to practitioners in selecting an inspection process that guarantees a target availability.

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1.Abdel-Hameed, M. (1987). Inspection and maintenance policies of devices subject to deterioration. Advances in Applied Probability 19: 917931.
2.Baccelli, F. & Brémaud, P. (1994). Elements ofqueueing theory, Palm-martingale calculus and stochastic recurrences. New York: Springer-Verlag.
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4.Hopp, W. & Wu, S.-C. (1988). Multiaction maintenance under Markovian deterioration and incomplete state information. Naval Research Logistics 35: 447462.
5.Protter, P. (1990). Stochastic integration and differential equations. New York: Springer-Verlag.
6.Wortman, M.A. & Klutke, G.-A. (1994). On maintained systems operating in a random environment. Journal of Applied Probability 31: 589594.

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The Availability of Inspected Systems Subject to Random Deterioration

  • Georgia-Ann Klutke (a1), Martin A. Wortman (a1) and Hayriye Ayhan (a2)

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