Multi-state component criticality analysis for reliability improvement in multi-state systems

This paper evaluates and implements composite importance measures (CIM) for multi-state systems with multi-state components (MSMC). Importance measures are frequently used as a means to evaluate and rank the impact and criticality of individual components within a system yet they are less often used as a guide to prioritize system reliability improvements. For multi-state systems, previously developed measures sometimes are not appropriate and they do not meet all user needs. This study has two inter-related goals: first, to distinguish between two types of importance measures that can be used for evaluating the criticality of components in MSMC with respect to multi-state system reliability, and second, based on the CIM, to develop a component allocation heuristic to maximize system reliability improvements. The heuristic uses Monte-Carlo simulation together with the max-flow min-cut algorithm as a means to compute component CIM. These measures are then transformed into a cost-based composite metric that guides the allocation of redundant elements into the existing system. Experimental results for different system complexities show that these new CIM can effectively estimate the criticality of components with respect to multi-state system reliability. Similarly, these results show that the CIM-based heuristic can be used as a fast and effective technique to guide system reliability improvements.

[1]  D. Vasseur,et al.  International survey on PSA figures of merit , 1999 .

[2]  David W. Coit,et al.  A generalized multistate-based path vector approach to multistate two-terminal reliability , 2006 .

[3]  Gregory Levitin,et al.  Importance and sensitivity analysis of multi-state systems using the universal generating function method , 1999 .

[4]  Shaomin Wu,et al.  Performance utility-analysis of multi-state systems , 2003, IEEE Trans. Reliab..

[5]  W. Griffith MULTISTATE RELIABILITY MODELS , 1980 .

[6]  David W. Coit,et al.  New insights on multi-state component criticality and importance , 2006, Reliab. Eng. Syst. Saf..

[7]  Yi-Kuei Lin,et al.  Using minimal cuts to evaluate the system reliability of a stochastic-flow network with failures at nodes and arcs , 2002, Reliab. Eng. Syst. Saf..

[8]  Bent Natvig,et al.  Multistate reliability theory—a case study , 1986, Advances in Applied Probability.

[9]  David W. Coit,et al.  Composite importance measures for multi-state systems with multi-state components , 2005, IEEE Transactions on Reliability.

[10]  Luca Podofillini,et al.  Generalised importance measures for multi-state elements based on performance level restrictions , 2003, Reliab. Eng. Syst. Saf..

[11]  David W. Coit,et al.  A Monte-Carlo simulation approach for approximating multi-state two-terminal reliability , 2005, Reliab. Eng. Syst. Saf..

[12]  David W. Coit,et al.  A heuristic for solving the redundancy allocation problem for multi-state series-parallel systems , 2004, Reliab. Eng. Syst. Saf..

[13]  Jose Emmanuel Ramirez-Marquez,et al.  A Classification Tree Based Approach for the Development of Minimal Cut and Path Vectors of a Capacitated Network , 2007, IEEE Transactions on Reliability.

[14]  Weiwe-Chang Yeh A simple MC-based algorithm for evaluating reliability of stochastic-flow network with unreliable nodes , 2004, Reliab. Eng. Syst. Saf..

[15]  Yi-Kuei Lin,et al.  A simple algorithm for reliability evaluation of a stochastic-flow network with node failure , 2001, Comput. Oper. Res..

[16]  David W. Coit,et al.  Multi-state Two-Terminal Reliability : A Generalized Cut-Set Approach , 2004 .

[17]  Roy Billinton,et al.  State extension for adequacy evaluation of composite power systems-applications , 2000 .

[18]  Marco Muselli,et al.  Approximate multi-state reliability expressions using a new machine learning technique , 2005, Reliab. Eng. Syst. Saf..

[19]  D. Elmakis,et al.  Redundancy optimization for series-parallel multi-state systems , 1998 .

[20]  J. Sethuraman,et al.  Multistate Coherent Systems. , 1978 .

[21]  Terje Aven,et al.  Two new component importance measures for a flow network system , 1986 .

[22]  Luca Podofillini,et al.  Monte Carlo simulation analysis of the effects of different system performance levels on the importance of multi-state components , 2003, Reliab. Eng. Syst. Saf..

[23]  Richard E. Barlow,et al.  Coherent Systems with Multi-State Components , 1978, Math. Oper. Res..