Time-varying failure rates in the availability and reliability analysis of repairable systems

This paper combines time varying failure rates and Markov chain analysis to obtain a hybrid reliability and availability analysis. However, combining these techniques can, depending on the size of the system, result in solutions of the Markov chain differential matrix equations that are intractable....

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Bibliographic Details
Published inIEEE transactions on reliability Vol. 44; no. 1; pp. 155 - 160
Main Authors Hassett, T.F., Dietrich, D.L., Szidarovszky, F.
Format Journal Article
LanguageEnglish
Published New York, NY IEEE 01.03.1995
Institute of Electrical and Electronics Engineers
Subjects
Applied sciences
Availability
Chromium
Differential equations
Exact sciences and technology
Failure analysis
Laboratories
Operational research and scientific management
Operational research. Management science
Polynomials
Reliability
Reliability theory. Replacement problems
Testing
Time varying systems
Markov chain
Availability
Reliability
Failure rate
Time variation
Repairable system
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Summary:This paper combines time varying failure rates and Markov chain analysis to obtain a hybrid reliability and availability analysis. However, combining these techniques can, depending on the size of the system, result in solutions of the Markov chain differential matrix equations that are intractable. This paper identifies solutions that are tractable, These form the analytical baseline for the reliability and availability analysis of systems with time varying failure rates. Tractable solutions were found for the 1-component 2-state and the 2-component 4-state configurations. Time varying failure rates were characterized by a general polynomial expression. Constant, linear, and Weibull failure rate functions are special cases of this polynomial. The general polynomial failure rate provides flexibility in modeling the time varying failure rates that occur in practice.< >
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0018-9529
1558-1721
DOI:10.1109/24.376543