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Reliability estimation of multi-state components and coherent systems

Reliability estimation of multi-state components and coherent systems
Reliability estimation of multi-state components and coherent systems
This paper discusses the multi-state coherent system composed of multi-state components. First, using the min cut sets or min path sets, we present our simulation algorithm, instead of the general structure function, to calculate the probability that the system is in a specified state. Second, we check the components per period, e.g. one check per year, to obtain the state sequences of all components. When the state sequences are Markovian chains, we can predict the reliability of the components in several periods, such as the probability that the components are in specified states. Also, we give two methods to compute the system reliability in a number of periods: one employs the states of the components in these periods, which can be predicted by the state transition probability matrixes of the components; the other uses the state transition probability matrix of the system obtained by the simulated states of the components.
reliability estimation, multi-state coherent system, markovian chain, simulation
0951-8320
93-98
Li, J.-A.
17652c3d-b529-40f4-9ea4-21d34d185b66
Wu, Y.
e279101b-b392-45c4-b894-187e2ded6a5c
Lai, K.K.
20379c9f-ac5f-4549-ab91-77722180b971
Liu, K.
8920189d-4350-4129-8a4e-453ceb9de412
Li, J.-A.
17652c3d-b529-40f4-9ea4-21d34d185b66
Wu, Y.
e279101b-b392-45c4-b894-187e2ded6a5c
Lai, K.K.
20379c9f-ac5f-4549-ab91-77722180b971
Liu, K.
8920189d-4350-4129-8a4e-453ceb9de412

Li, J.-A., Wu, Y., Lai, K.K. and Liu, K. (2005) Reliability estimation of multi-state components and coherent systems. Journal of Reliability Engineering and System Safety, 88 (0951-8320), 93-98. (doi:10.1016/j.ress.2004.07.010).

Record type: Article

Abstract

This paper discusses the multi-state coherent system composed of multi-state components. First, using the min cut sets or min path sets, we present our simulation algorithm, instead of the general structure function, to calculate the probability that the system is in a specified state. Second, we check the components per period, e.g. one check per year, to obtain the state sequences of all components. When the state sequences are Markovian chains, we can predict the reliability of the components in several periods, such as the probability that the components are in specified states. Also, we give two methods to compute the system reliability in a number of periods: one employs the states of the components in these periods, which can be predicted by the state transition probability matrixes of the components; the other uses the state transition probability matrix of the system obtained by the simulated states of the components.

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More information

Published date: 2005
Keywords: reliability estimation, multi-state coherent system, markovian chain, simulation

Identifiers

Local EPrints ID: 36314
URI: http://eprints.soton.ac.uk/id/eprint/36314
ISSN: 0951-8320
PURE UUID: 7ece6f8c-4616-4360-bb0a-1a866258f5ec

Catalogue record

Date deposited: 22 May 2006
Last modified: 15 Jul 2019 19:04

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