Phase Type Stress-Strength Models With Reliability Applications
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Date
2018
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Publisher
Taylor & Francis inc
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Abstract
The stress-strength model has attracted a great deal of attention in reliability analysis, and it has been studied under various modeling assumptions. In this article, the stress-strength reliability is studied for both single unit and multicomponent systems when stress and strength distributions are of phase type. Phase-type distributions, besides their analytical tractability, are a versatile tool for modeling a wide range of real life systems/processes. In particular, matrix-based expressions are obtained for the stress-strength reliability, and mean residual strength for an operating system. The results are illustrated for Erlang-type stress-strength distributions for a single unit system and a system having a general coherent structure. An example on the comparison of two multi-state units in stress-strength ordering is also presented.
Description
Eryilmaz, Serkan/0000-0002-2108-1781
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Keywords
Coherent system, Phase-type distributions, Residual life, Stress-strength reliability
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WoS Q
Q4
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Source
Volume
47
Issue
4
Start Page
954
End Page
963