Reliability and performance of multi-state systems with propagated failures having selective effect

The paper presents an algorithm for evaluating performance distribution of complex series-parallel multi-state systems with common cause failures caused by propagation of failures in system elements. The failure propagation can have a selective effect, which means that the failures originated from different elements can cause failures of different subsets of system elements. The suggested algorithm is based on the universal generating function approach and a generalized reliability block diagram method (recursive aggregation of pairs of elements and their replacement by an equivalent one). The performance distribution evaluation procedure is repeated for each combination of common cause failures. Illustrative examples are provided.

[1]  Hoang Pham,et al.  Optimal design of k-out-of-n:G subsystems subjected to imperfect fault-coverage , 2004, IEEE Transactions on Reliability.

[2]  Liudong Xing,et al.  Efficient analysis of imperfect coverage systems with functional dependence , 2010, 2010 Proceedings - Annual Reliability and Maintainability Symposium (RAMS).

[3]  George Apostolakis.  The effect of a certain class of potential common mode failures on the reliability of redundant systems , 1976 .

[4]  Jussi K. Vaurio.  Common cause failure probabilities in standby safety system fault tree analysis with testing - scheme and timing dependencies , 2003, Reliab. Eng. Syst. Saf..

[5]  J. K. Vaurio,et al.  An implicit method for incorporating common-cause failures in system analysis , 1998 .

[6]  Albert F. Myers,et al.  k-out-of-n: G System Reliability With Imperfect Fault Coverage , 2007, IEEE Trans. Reliab..

[7]  I. Olkin,et al.  A Multivariate Exponential Distribution , 1967 .

[8]  Balbir S. Dhillon,et al.  COMMON-CAUSE FAILURES IN ENGINEERING SYSTEMS: A REVIEW , 1994 .

[9]  Gregory Levitin,et al.  Multi-State System Reliability - Assessment, Optimization and Applications , 2003, Series on Quality, Reliability and Engineering Statistics.

[10]  Yung-Ruei Chang,et al.  Reliability evaluation of multi-state systems subject to imperfect coverage using OBDD , 2002, 2002 Pacific Rim International Symposium on Dependable Computing, 2002. Proceedings..

[11]  Gregory Levitin,et al.  The Universal Generating Function in Reliability Analysis and Optimization , 2005 .

[12]  L. McLaughlin,et al.  Optimal cost-effective design of parallel systems subject to imperfect fault-coverage , 2003, Annual Reliability and Maintainability Symposium, 2003..

[13]  Gregory Levitin.  Incorporating common-cause failures into nonrepairable multistate series-parallel system analysis , 2001, IEEE Trans. Reliab..

[14]  David W. Coit,et al.  Optimization of system reliability in the presence of common cause failures , 2007, Reliab. Eng. Syst. Saf..

[15]  M. A. El-Damcese.  Reliability of systems subject to common-cause hazards assumed to obey an exponential power model , 1996 .

[16]  Gregory Levitin,et al.  Multi-state systems with multi-fault coverage , 2008, Reliab. Eng. Syst. Saf..

[17]  Liudong Xing,et al.  EFEKTYWNA ANALIZA NIEZAWODNOŚCIOWA SYSTEMÓW Z PĘTLAMI ZALEŻNOŚCI FUNKCYJNYCH EFFICIENT RELIABILITY ANALYSIS OF SYSTEMS WITH FUNCTIONAL DEPENDENCE LOOPS , 2009 .

[18]  S V Amari,et al.  Multistate systems with static performance- dependent fault coverage , 2008 .

[19]  Kyung C. Chae,et al.  System Reliability in the Presence of Common-Cause Failures , 1986, IEEE Transactions on Reliability.

[20]  Liudong Xing,et al.  Reliability and sensitivity analysis of imperfect coverage multi-state systems , 2010, 2010 Proceedings - Annual Reliability and Maintainability Symposium (RAMS).

[21]  J. B. Fussell,et al.  Nuclear Systems Reliability Engineering and Risk Assessment , 1978 .

[22]  Liudong Xing,et al.  Reliability Evaluation of Phased-Mission Systems With Imperfect Fault Coverage and Common-Cause Failures , 2007, IEEE Transactions on Reliability.

[23]  Yung-Ruei Chang,et al.  OBDD-based evaluation of reliability and importance measures for multistate systems subject to imperfect fault coverage , 2005, IEEE Transactions on Dependable and Secure Computing.

[24]  Liudong Xing,et al.  Incorporating Common-Cause Failures Into the Modular Hierarchical Systems Analysis , 2009, IEEE Transactions on Reliability.

[25]  Jussi K. Vaurio.  The theory and quantification of common cause shock events for redundant standby systems , 1994 .

[26]  Gregory Levitin,et al.  Block diagram method for analyzing multi-state systems with uncovered failures , 2007, Reliab. Eng. Syst. Saf..