Bayesian Networks Application in Multi-State System Reliability Analysis

Article Preview

Abstract:

Aiming at the limitations of traditional reliability analysis theory in multi-state system, a method for reliability modeling and assessment of a multi-state system based on Bayesian Network (BN) is proposed with the advantages of uncertain reasoning and describing multi-state of event. Through the case of cell production line system, in this paper we will discuss how to establish and construct a multi-state system model based on Bayesian network, and how to apply the prior probability and posterior probability to do the bidirectional inference analysis, and directly calculate the reliability indices of the system by means of prior probability and Conditional Probability Table (CPT) . Thereby we can do the qualitative and quantitative analysis of the multi-state system reliability, identify the weak links of the system, and achieve assessment of system reliability.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

2590-2595

Citation:

Online since:

August 2013

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2013 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] Huang X. Fault tree analysis method of a system having components of multiple failure modes, Microelectronics and Reliability, vol. 23, no. 2, pp.325-328, (1983).

DOI: 10.1016/0026-2714(83)90339-6

Google Scholar

[2] Huang X. The generic method of the multistate fault tree analysis, Microelectronics Reliability, vol. 24, no. 4, pp.617-622, (1984).

DOI: 10.1016/0026-2714(84)90203-8

Google Scholar

[3] Bossche A. The top-event failure frequency for non-coherent multistate fault trees, Microelectronics and Reliability, vol. 24, no. 4, pp.707-715, (1984).

DOI: 10.1016/0026-2714(84)90220-8

Google Scholar

[4] Yi-Kuei Lin, John Yuan. A new algorithm to generate d-minimal paths in a multistate flow network with non integer arc capacities, International Journal of Reliability, Quality and Safety Engineering, vol. 05, no. 03, pp.269-285, September (1998).

DOI: 10.1142/s0218539398000248

Google Scholar

[5] Ramirez-Marquez J E, Coit D W, Tortorella M. Multi-state two-terminal reliability: a generalized cut-set approach, Rutgers University IE Working Paper, 03-135, (2003).

Google Scholar

[6] Zaitseva E, Levashenko V, Matiasko K, et al. Dynamic reliability indices for k-out-of-n multi-state system, The 35th International Symposium on Multiple-Valued Logic, pp.264-269, (2005).

DOI: 10.1109/ismvl.2005.16

Google Scholar

[7] Zaitseva E, Levashenko V. Dynamic reliability indices for parallel, series and k-out-of-n multi-state systems, The Annual Reliability and Maintainability Symposium (RAMS 2006), California, USA, pp.253-259, (2006).

DOI: 10.1109/rams.2006.1677383

Google Scholar

[8] Levitin G. Reliability of multi-state systems with two failure-modes, IEEE Transactions on Reliability, vol. 52, no. 3, pp.340-348, September (2003).

DOI: 10.1109/tr.2003.818714

Google Scholar

[9] Helge Langseth, Luigi Portinale. Bayesian networks in reliability, Reliability Engineering System Safety, vol. 92, no. 1, pp.92-108, January (2007).

DOI: 10.1016/j.ress.2005.11.037

Google Scholar

[10] X. W. Yin, W. X. Qian, and L. Y. Xie. Multi-state system reliability modeling and assessment based on bayesian networks, Chinese Journal of Mechanical Engineering, vol. 45, no. 2, pp.206-212, (2009).

DOI: 10.3901/jme.2009.02.206

Google Scholar

[11] Alyson G. Wilson, Aparna V. Huzurbazar. Bayesian networks for multilevel system reliability, Reliability Engineering and System Safety, vol. 92, no. 10, p.1413–1420 , October (2007).

DOI: 10.1016/j.ress.2006.09.003

Google Scholar

[12] Nima Khakzada, Faisal Khana, Paul Amyotteb. Safety analysis in process facilities: Comparison of fault tree and Bayesian network approaches, vol. 96, no. 8, p.925–932, August (2011).

DOI: 10.1016/j.ress.2011.03.012

Google Scholar

[13] Baoping Cai, Yonghong Liu. Zengkai Liu, Xiaojie Tian, Xin Dong, Shilin Yu. Using Bayesian networks in reliability evaluation for subsea blowout preventer control system, Reliability Engineering and System Safety, vol. 108, pp.32-41, (2012).

DOI: 10.1016/j.ress.2012.07.006

Google Scholar

[14] Marcelo Ramos Martins, Marcos Coelho Maturana. Application of Bayesian Belief networks to the human reliability analysis of an oil tanker operation focusing on collision accidents, Reliability Engineering and System Safety, vol. 110, pp.89-109, (2013).

DOI: 10.1016/j.ress.2012.09.008

Google Scholar

[15] R. Barlow , A. S. Wu, Coherent systems with multi-state elements, Journal Mathematics of Operations Research, vol. 3, pp.275-281, (1978).

Google Scholar

[16] A. Lisnianski, G. Levitin, Multi-state System Reliability, Assessment, Optimization and Application, Singapore: World Scientific Publishing, (2003).

Google Scholar

[17] Jensen FV, Nielsen TD. Bayesian networks and decision graphs, 2nd ed, New York, Springer, (2007).

Google Scholar

[18] Darwiche A. Modeling and reasoning with Bayesian networks, New York, Cambridge University Press, (2009).

Google Scholar