A cost-based importance measure for system components: An extension of the Birnbaum importance

In reliability engineering, component importance measures are used to prioritise components in a system for purposes such as reliability improvement and maintenance planning. Existing importance measures have paid little attention to the costs incurred by maintaining a system and its components within a given time period. Cost-effectiveness analysis, however, is critically important in increasingly competitive markets. This paper proposes a new cost-based importance measure which considers costs incurred by maintaining a system and its components within a finite time horizon. Possible extensions are discussed and examples are given to show the use of the new measure.

[1]  Pauline Coolen-Schrijner,et al.  Nonparametric adaptive age replacement with a one-cycle criterion , 2007, Reliab. Eng. Syst. Saf..

[2]  Terje Aven,et al.  On the use of uncertainty importance measures in reliability and risk analysis , 2010, Reliab. Eng. Syst. Saf..

[3]  Christophe Bérenguer,et al.  From differential to difference importance measures for Markov reliability models , 2010, Eur. J. Oper. Res..

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

[5]  Eric R. Ziegel,et al.  System Reliability Theory: Models, Statistical Methods, and Applications , 2004, Technometrics.

[6]  Pauline Coolen-Schrijner,et al.  On Optimality Criteria for Age Replacement , 2006 .

[7]  B. Natvig.  A suggestion of a new measure of importance of system components , 1979 .

[8]  Vaidas Matuzas,et al.  New methods to determine the importance measures of initiating and enabling events in fault tree analysis , 2011, Reliab. Eng. Syst. Saf..

[9]  Peter S. Jackson.  On the s-Importance of Elements and Prime Implicants of Non-Coherent Systems , 1983, IEEE Transactions on Reliability.

[10]  Y. Tong,et al.  Optimal arrangement of components via pairwise rearrangements , 1989 .

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

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

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

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

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

[16]  Shaomin Wu,et al.  Joint importance of multistate systems , 2005, Comput. Ind. Eng..

[17]  S. Kaplan,et al.  On The Quantitative Definition of Risk , 1981 .

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

[19]  Emanuele Borgonovo,et al.  The reliability importance of components and prime implicants in coherent and non-coherent systems including total-order interactions , 2010, Eur. J. Oper. Res..

[20]  Gregory Levitin,et al.  Combined m-consecutive and k-out-of-n sliding window systems , 2012, Eur. J. Oper. Res..

[21]  J. B. Fussell,et al.  How to Hand-Calculate System Reliability and Safety Characteristics , 1975, IEEE Transactions on Reliability.

[22]  Nader Ebrahimi,et al.  Multistate reliability models , 1984 .

[23]  John D. Andrews,et al.  Birnbaum's measure of component importance for noncoherent systems , 2003, IEEE Trans. Reliab..

[24]  Andrew P. Sage,et al.  Methodologies for Risk and Hazard Assessment: A Survey and Status Report , 1980, IEEE Transactions on Systems, Man, and Cybernetics.