Component Importance for Multi-State System Lifetimes With Renewal Functions

Importance measures are widely used to characterize the roles of components in systems. The system lifetime can be divided into different life stages. Traditionally, importance measures do not consider the possible effect of the expected number of component failures over a system's lifetime and over different life stages, which, however, has a great effect on the system performance changes, and should therefore be taken into consideration. This paper extends the integrated importance measure (IIM) from unit time to system lifetime, and to different life stages. Based on the renewal functions of components, this measure can evaluate the changes of the system performance due to component failures. This generalization of the IIM describes which component is the most important to improve the performance of the system during the system lifetime and at different life stages. An example of the application of an oil transportation system is presented to illustrate the use of the generalized IIM.

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

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

[3]  Jussi K. Vaurio.  Importance measures in risk-informed decision making: Ranking, optimisation and configuration control , 2011, Reliab. Eng. Syst. Saf..

[4]  Luca Podofillini,et al.  Importance measures-based prioritization for improving the performance of multi-state systems: application to the railway industry , 2007, Reliab. Eng. Syst. Saf..

[5]  Gregory Levitin,et al.  Component state-based integrated importance measure for multi-state systems , 2013, Reliab. Eng. Syst. Saf..

[6]  Bent Natvig,et al.  Measures of component importance in repairable multistate systems - a numerical study , 2011, Reliab. Eng. Syst. Saf..

[7]  Shenggui Zhang,et al.  Integrated importance measures of multi-state systems under uncertainty , 2010, Comput. Ind. Eng..

[8]  Lirong Cui,et al.  Reliability evaluation of generalised multi-state k-out-of-n systems based on FMCI approach , 2010, Int. J. Syst. Sci..

[9]  Kailash C. Kapur.  Multi-state reliability : models and applications , 2006 .

[10]  A. O. Pittenger.  Introduction to Stochastic Processes (Erhan Çinlar) , 1977 .

[11]  Z W Birnbaum,et al.  ON THE IMPORTANCE OF DIFFERENT COMPONENTS IN A MULTICOMPONENT SYSTEM , 1968 .

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

[13]  Mohamed Sallak,et al.  Extended Component Importance Measures Considering Aleatory and Epistemic Uncertainties , 2013, IEEE Transactions on Reliability.

[14]  Way Kuo,et al.  Importance Measures in Reliability, Risk, and Optimization: Principles and Applications , 2012 .

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

[16]  Bent Natvig,et al.  Multistate Systems Reliability Theory with Applications , 2011 .

[17]  Gregory Levitin,et al.  Reliability and performance of multi-state systems with propagated failures having selective effect , 2010, Reliab. Eng. Syst. Saf..

[18]  Xiaoyan Zhu,et al.  Some Recent Advances on Importance Measures in Reliability , 2012, IEEE Transactions on Reliability.

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

[20]  Lirong Cui,et al.  Analysis for joint importance of components in a coherent system , 2007, Eur. J. Oper. Res..

[21]  Anatoly Lisnianski,et al.  Extended block diagram method for a multi-state system reliability assessment , 2007, Reliab. Eng. Syst. Saf..

[22]  Kin Keung Lai,et al.  Reliability estimation and prediction of multi-state components and coherent systems , 2005, Reliab. Eng. Syst. Saf..

[23]  Xiaoyan Zhu,et al.  Importance measures in reliability and mathematical programming , 2014, Ann. Oper. Res..

[24]  Bent Natvig,et al.  Multistate Systems Reliability Theory with Applications: Natvig/Multistate Systems Reliability Theory with Applications , 2011 .

[25]  F. Proschan,et al.  Importance of System Components and Fault Tree Events. , 1975 .

[26]  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..

[27]  David W. Coit,et al.  Corrections to "Component Reliability Criticality or Importance Measures for Systems With Degrading Components" , 2013, IEEE Trans. Reliab..

[28]  David W. Coit,et al.  Component Reliability Criticality or Importance Measures for Systems With Degrading Components , 2012, IEEE Transactions on Reliability.

[29]  Shenggui Zhang,et al.  Integrated Importance Measure of Component States Based on Loss of System Performance , 2012, IEEE Transactions on Reliability.

[30]  Shudong Sun,et al.  The Integrated Importance Measure of Multi-State Coherent Systems for Maintenance Processes , 2012, IEEE Transactions on Reliability.

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

[32]  Gregory Levitin,et al.  Multi-state systems with selective propagated failures and imperfect individual and group protections , 2011, Reliab. Eng. Syst. Saf..

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

[34]  Xiaoyan Zhu,et al.  Relations and Generalizations of Importance Measures in Reliability , 2012, IEEE Transactions on Reliability.