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On maintained systems operating in a random environment

1994; Cambridge University Press; Volume: 31; Issue: 2 Linguagem: Inglês

10.2307/3215052

1475-6072

Martin Wortman, Georgia-Ann Klutke,

Statistical Distribution Estimation and Applications

This paper examines the availability of a maintained system where the rate of deterioration is governed by an exogenous random environment. We provide a qualitative result that exposes the relationship between remaining lifetime, environment, and repairs. This result leads to simple bounds that can be used to choose inspection rates that guarantee a specified level of availability. The principal result requires no specific distributional assumptions, is intuitively appealing and can be directly applied by practitioners. Our development employs techniques from stochastic calculus.