Reliability Analysis of Multi-State Systems based on EUGF Method using Common Cause Failure Components

doi:10.23940/ijpe.19.12.p4.31293138

Abstract

Abstract: :For the multi-state system, the reliability problem of the common component failure group overlaps under the uncertainty of the component state probability information. Combined with evidence theory, evidence generalized generation function (EUGF) method, and common cause failure theory, the EUGF analysis method for multi-state systems when the common cause failure component groups overlap each other is proposed. The reliability problem of the multi-state system when the common cause failure component group overlaps and the component state probability information has uncertainty is solved. Integrate uncertainty information and common cause failure information in a multi-state system. The reliability of the system and the multi-state system in the case of independent failure of the component is compared. The reliability of the multi-state system in the failure of the common component failure component is lower than the reliability of the component independent failure. The reliability analysis of the multi-state system in the case of the uncertainty of the component state probability information is more in line with the actual engineering situation due to the overlapping of the failed component groups.

Key words: multi-state system (MSS), uncertainty, common cause failure (CCF), reliability, evidence generation function (EUGF)

Jinzhang Jia, Zhuang Li, Peng Jia, and Zhiguo Yang. Reliability Analysis of Multi-State Systems based on EUGF Method using Common Cause Failure Components [J]. Int J Performability Eng, 2019, 15(12): 3129-3138.

Add to citation manager EndNote|Reference Manager|ProCite|BibTeX|RefWorks

References

[1] Y. K.Gu and J. Li, “Multi-State System Reliability: A New and Systematic Review,”Procedia Engineering, Vol. 29, pp. 531-536, 2012
[2] A. Lisnianski, D. Elmakias, D. Laredo,H. B. Haim, “A Multi-State Markov Model for a Short-Term Reliability Analysis of a Power Generating Unit,” Reliability Engineering and System Safety, Vol. 98, No. 1, pp. 1-6, 2012
[3] Y. Massim, A. Zeblah, M. Benguediab, A. Ghouraf,R. Meziane, “Reliability Evaluation of Electrical Power Systems Including Multi-State Considerations,” Electrical Engineering, Vol. 88, No. 2, pp. 109-116, 2006
[4] J. F.Caete and J. H. Saleh, “Beyond Reliability Multi-State Failure Analysis of Satellite Subsystems: A Statistical Approach,”Reliability Engineering and System Safety, Vol. 95, pp. 311-322, 2010
[5] J. K. Wayer, J. F. Castet,J. H. Saleh, “Spacecraft Attitude Control Subsystem: Reliability, Multi-State Analyses, and Comparative Failure Behavior in LEO and GEO,”Acta Astronautica, Vol. 85, pp. 83-92, 2013
[6] S. Y. Kim, J. F. Castet,J. H. Saleh, “Spacecraf Telectrical Power Subsystem: Failure Behavior, Reliability, and Multi-State Failure Analyses,”Reliability Engineering and System Safety, Vol. 98, pp. 55-65, 2012
[7] D. N.Chen and C. Y. Yao, “Reliability Analysis of Polymorphic Systems based on Fuzzy Bayesian Network and its Application in Hydraulic Systems,” Journal of Mechanical Engineering, Vol. 48, No. 16, pp. 175-183, 2012
[8] Y. Liu, X. Y. Liu,X. H. Zhang, “Reliability Modeling and Optimization of Multi-State System Considering Dynamic Load Distribution Mechanism,” Journal of Mechanical Engineering, Vol. 52, No. 6, pp. 197-205, 2016
[9] Y. F.Li and E. Zio, “A Multi-State Model for the Reliability Assessment of a Distributed Generation System via Universal Generating Function,”Reliability Engineering and System Safety, Vol. 106, pp. 28-36, 2012
[10] W. C. A.Yeh, “Simple Universal Generating Function Method for Estimating the Reliability of General Multi-State Node Networks,” IIE Transactions, Vol. 41, No. 1, pp. 3-11, 2008
[11] Y. Liu, “Reliability Modeling and Maintenance Decision for Multi-State Complex Systems,” Ph.D thesis, University of Electronic Science and Technology, Chengdu, China, 2010
[12] Y. Ding and A. Lisnianski, “Fuzzy Universal Generating Functions for Multi-State System Reliability Assessment,” Fuzzy Sets and Systems, Vol. 159, No. 3, pp. 307-324, 2008
[13] Y. Ding, M. J. Zuo, A. Lisnianski,Z. G. Tian, “Fuzzy Multi-State Systems: General Definitions, and Performance Assessment,” IEEE Transactions on Reliability, Vol. 57, No. 4, pp. 589-594, 2008
[14] Y. Liu and H. Z. Huang, “Reliability Assessment for Fuzzy Multi-State Systems,” International Journal of Systems Science, Vol. 41, No. 4, pp. 365-379, 2010
[15] S. Destercke and M. Sallak, “An Extension of Universal Generating Function in Multi-State Systems Considering Epistemic Uncertainties,” IEEE Transactions on Reliability, Vol. 62, No. 2, pp. 504-514, 2013
[16] C. Li, X. Chen, X. Yi,J. Y. Tao, “Interval-Valued Reliability Analysis of Multi-State Systems,” IEEE Transactions on Reliability, Vol. 60, No. 1, pp. 323-330, 2011
[17] W. S. Peng, J. G. Zhang, J. Y. Zhang, et al., “EUGF Analysis Method for Reliability of Hybrid Uncertain Polymorphic Systems,” Systems Engineering and Electronic Technology, Vol. 39, No. 12, pp. 2863-2868, 2017
[18] C. Y. Li, “Research on Reliability Analysis and Optimization Design Method based on Multi State System Theory,” Ph.D thesis, National University of Defense Science and Technology, Changsha, China, 2010
[19] J. H. Mi, Y. F. Li, W. W. Peng,H. Z. Huang, “Reliability Analysis of Multi-State System with Common Cause Failure based on Bayesian Networks,” Maintenance and Reliability, Vol. 15, No. 2, pp. 169-175, 2013
[20] G. Levitin, “Incorporating Common-Cause Failures into Nonrepairable Multistate Series-Parallel System Analysis,” IEEE Transactions on Reliability, Vol. 50, No. 4, pp. 380-388, 2001
[21] J. Y. Zhou, L. Y. Xie,X. M. Wang, “Common Cause Failure Analysis and Reliability Model for Multi-State Systems,” Journal of Mechanical Engineering, Vol. 41, No. 6, pp. 66-70, 2005
[22] G. Levitin, “Common Supply Failures in Linear Multi-State Sliding Window Systems,”Reliability Engineering and System Safety, Vol. 82, pp. 55-62, 2003
[23] J. Y.Zhou and L. Y. Xie, “Common Cause Failure Mechanism and Quantitative Analysis of Multi-State Systems,” Journal of Mechanical Engineering, Vol. 44, No. 10, pp. 77-82, 2008
[24] J. L. Qin, “Research on Reliability Evaluation Method of Complex Multi-State System,” Ph.D thesis, North China Electric Power University, Beijing, China, 2016
[25] J. H. Mi, “Reliability Analysis and Evaluation of Complex Systems under Cognitive Uncertainty,” Ph.D thesis, University of Electronic Science and Technology, Chengdu, China, 2017
[26] A. P. Dempster, “Upper and Lower Probabilities Induced by a Multivalued Mapping,” The Annals of Mathematical Statistics, Vol. 38, No. 2, pp. 325-339, 1967
[27] A. P. Dempster, “A Generalization of Bayesian Inference,” Journal of the Royal Statistical Society, Series B (Methodological), Vol. 30, No. 2, pp. 205-247, 1968
[28] G. Shafer, “A Mathematical Theory of Evidence, Princeton,” Princeton University Press, USA, 1976
[29] F. Aguirre, M. Sallak,W. Schön, “Construction of Belief Function from Statistical Data about Reliability under Epistemic Uncertainty,” IEEE Transactions on Reliability, Vol. 62, No. 3, pp. 555-568, 2013