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The Availability of Inspected Systems Subject to Random Deterioration

Published online by Cambridge University Press:  27 July 2009

Georgia-Ann Klutke ,
Martin A. Wortman  and
Hayriye Ayhan
Georgia-Ann Klutke
Affiliation:
Department of Industrial Engineering, Texas A&M University, College Station, Texas 77843-3131
Martin A. Wortman
Affiliation:
Department of Industrial Engineering, Texas A&M University, College Station, Texas 77843-3131
Hayriye Ayhan
Affiliation:
School of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332-0205
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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.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 10 , Issue 1 , January 1996 , pp. 109 - 118
Copyright
Copyright © Cambridge University Press 1996

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References

1.Abdel-Hameed, M. (1987). Inspection and maintenance policies of devices subject to deterioration. Advances in Applied Probability 19: 917–931.CrossRefGoogle Scholar
2.Baccelli, F. & Brémaud, P. (1994). Elements ofqueueing theory, Palm-martingale calculus and stochastic recurrences. New York: Springer-Verlag.Google Scholar
3.Brémaud, P. (1981). Point processes and queues: Martingale dynamics. New York: Springer-Verlag.CrossRefGoogle Scholar
4.Hopp, W. & Wu, S.-C. (1988). Multiaction maintenance under Markovian deterioration and incomplete state information. Naval Research Logistics 35: 447–462.3.0.CO;2-I>CrossRefGoogle Scholar
5.Protter, P. (1990). Stochastic integration and differential equations. New York: Springer-Verlag.CrossRefGoogle Scholar
6.Wortman, M.A. & Klutke, G.-A. (1994). On maintained systems operating in a random environment. Journal of Applied Probability 31: 589–594.CrossRefGoogle Scholar