International Journal of Mathematical, Engineering and Management Sciences

ISSN: 2455-7749

An Overview of Various Importance Measures of Reliability System

Kalpesh P. Amrutkar
Department of Statistics, School of Mathematical Sciences, North Maharashtra University, Jalgaon, India.

Kirtee K. Kamalja
Department of Statistics, School of Mathematical Sciences, North Maharashtra University, Jalgaon, India.

DOI https://dx.doi.org/10.33889/IJMEMS.2017.2.3-014

Received on November 15, 2016
  ;
Accepted on January 03, 2017

Abstract

One of the purposes of system reliability analysis is to identify the weaknesses or the critical components in a system and to quantify the impact of component’s failures. Various importance measures are being introduced by many researchers since 1969. These component importance measures provide a numerical rank to determine which components are more important to system reliability improvement or more critical to system failure. In this paper, we overview various components importance measures and briefly discuss them with examples. We also discuss some other extended importance measures and review the developments in study of various importance measures with respect to some of the popular reliability systems.

Keywords- Reliability systems, Importance measures.

Citation

Amrutkar, K. P., & Kamalja, K. K. (2017). An Overview of Various Importance Measures of Reliability System. International Journal of Mathematical, Engineering and Management Sciences, 2(3), 150-171. https://dx.doi.org/10.33889/IJMEMS.2017.2.3-014.

Conflict of Interest

Acknowledgements

(i) This work is supported by UGC, New Delhi, India, through the Major Research Project (F. No. 40-246/2011 (SR)).

(ii) The first author is thankful to the CSIR, New Delhi, for awarding Senior Research Fellowship (F. No. 09/728 (0033)/2014-EMR-I).

(iii) The authors would like to thank Guest Editor (s) for their constructive comments that improved the manuscript.

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