Semi-Markov models for degradation-based reliability

Jeffrey P. Kharoufeh; Christopher J. Solo; M. Yasin Ulukus

doi:10.1080/07408170903394371

Semi-Markov models for degradation-based reliability

Jeffrey P. Kharoufeh, Christopher J. Solo, M. Yasin Ulukus

Research output: Contribution to journal › Article › peer-review

86 Citations (Scopus)

Abstract

This article presents hybrid, degradation-based reliability models for a single-unit system whose degradation is driven by a semi-Markov environment. The primary objective is to develop a mathematical framework and associated computational techniques that unite environmental data and stochastic failure models to assess the current or future health of the system. By employing phase-type distributions, it is possible to construct a surrogate environment process that is amenable to analysis by exact Markovian techniques to obtain reliability estimates. The viability of the proposed approach and the quality of the approximations are demonstrated in two numerical experiments. The numerical results indicate that remarkably accurate lifetime distribution and moment approximations are attainable.

Original language	English
Pages (from-to)	599-612
Number of pages	14
Journal	IIE Transactions (Institute of Industrial Engineers)
Volume	42
Issue number	8
DOIs	https://doi.org/10.1080/07408170903394371
Publication status	Published - Aug 2010
Externally published	Yes

Funding

The authors are grateful for the comments and suggestions of two anonymous referees, the department editor, and Dr. Steven M. Cox. This research was sponsored, in part, by the Air Force Office of Scientific Research (FQ8671-04-0-0359) and the National Science Foundation (CMMI-0856702).

Funders	Funder number
National Science Foundation	CMMI-0856702
Air Force Office of Scientific Research	FQ8671-04-0-0359

Keywords

Phase-type distributions
Reliability
Semi-Markov environment

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10.1080/07408170903394371

Cite this

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Semi-Markov models for degradation-based reliability

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Keywords

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