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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
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

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
Copyright
Copyright © Cambridge University Press 1996

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