Risk Based Ranking Using Component Cost Importance Measure

Full Text (PDF, 394KB), PP.26-32

Views: 0 Downloads: 0


RamaKoteswara Rao Alla 1,* G.L Pahuja 1 J.S Lather 1

1. National Institute of Technology Kurukshetra, Kurukshetra,136119,India.

* Corresponding author.

DOI: https://doi.org/10.5815/ijem.2015.01.03

Received: 19 Nov. 2014 / Revised: 25 Dec. 2014 / Accepted: 3 Feb. 2015 / Published: 8 Mar. 2015

Index Terms

Importance Measure, Cost IM, Reliability, cost- risk analysis


The present day systems are increasing in complexity in terms of both the size and functionality. Also society demands these systems to be ultra-reliable. Reliability evaluation and optimization techniques play a major role in these regards. However reliability evaluation & optimization techniques do not give any idea about maintenance, risk involved and related cost incurred and criticality of system components or subsystems. Important measures (IM) exist in literature that identify the weak components i.e critical components and give ranking to them. Recently some work has appeared on Cost Importance Measure (CIM). There are number of mistakes/short comings in the paper Cost-related importance measure by Ming et.al. Definition of CIM given in general and the same used for computation of CIM of component xi have appeared differently (Different definitions for CIM). PD(xi),Partial derivative of component xi obtained for most of the components are either inexact or are faulty in expression and computations are wrong. All other mistakes also have not only been pointed but have been corrected also. A New CIM (NCIM) proposed, which highlights the above issues and have done desired calculations. The new CIM which has been advanced is computationally simpler and yields the desired ranking of components.

Cite This Paper

RamaKoteswara Rao Alla, G.L Pahuja, J.S Lather,"Risk Based Ranking Using Component Cost Importance Measure", IJEM, vol.5, no.1, pp.26-32, 2015. DOI: 10.5815/ijem.2015.01.03


[1] Ming Xu, Wencong Zhao, Xianhui Yang "Cost-related importance measure", 2011 IEEE International Conference on Information and Automation (ICIA) , pp.644,649, 6-8 June 2011.

[2] Z. Birnbaum, "On the importance of different components in a multi component system", Multivariate Analysis, vol.2, Academic Press, New York, 1969, pp.581–592.

[3] J.B. Fussell, "How to hand-calculate system reliability and safety characteristics", IEEE Transactions on Reliability R-24 (3) (1975) 169–174.

[4] X. Zhu, Q. Yao, W. Kuo, "Patterns of the Birnbaum importance in linear consecutive k-out-of-n systems," IIE Transactions, vol. 44, 2012.

[5] F. C. Meng, "Comparing the importance of system elements by some structural characteristics," IEEE Trans. Reliability, vol. 45, pp. 59–65, 1996.

[6] J. S. Hong, C. H. Lie, "Joint reliability-importance of two edges in an undirected network," IEEE Trans. Reliability, vol. 42, pp. 17–23, 1993.

[7] J. D. Andrews, "Birnbaum and criticality measures of component contribution to the failure of phased missions," Reliability Engineering & System Safety, vol. 93, pp. 1861–1866, 2008.

[8] P. D. Van, A. Barros, C. Berenguer, "Reliability importance analysis of Markovian systems at steady state using perturbation analysis," Reliability Engineering & System Safety, vol. 93, pp. 1605-1615, 2008.

[9] M. Rausand, A. H?yland, System Reliability Theory: Models, Statistical Methods, and Applications, John Wiley & Sons, New Jersey, 2004.

[10] A.O.Charles, C.Chu, "Reliability allocation through cost minimization," IEEE Trans on Reliability, vol. 52, no. 1, pp. 106-111, 2003.

[11] M. R. Lyu, "Optimal allocation of test resources for software reliability growth modeling in software development," IEEE Trans on Reliability, vol. 51, no. 2, pp. 183-192, 2002.

[12] X.Wang, Sen Li, F.Liu, X Fan, "Reliability analysis of combat architecture model based on complex network", International Journal of Engineering and Manufacturing, vol. 2, no.2, pp.15-22, 2012.

[13] R.K.Rao Alla, Pahuja G.L, Lather J.S., "Importance measures based risk and reliability analysis of substation automation systems," 2014 Annual IEEE India Conference (INDICON), pp.1-5, 11-13 Dec. 2014.

[14] W.G. Alghabbana, M.R.J Qureshi, "Improved Framework for Appropriate Components Selection", International Journal of Engineering and Manufacturing, vol. 4, no.1, pp.18-24, 2014.

[15] S.Gupta et al., "Cost Effective Importance Measure –A new approach for resource prioritization in a production plant", International Journal of Quality &Reliability Management, vol. 30, no. 4, 2013.