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Performance-based ranking and selection of complex coherent systems

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Abstract

Ranking of competing systems and selecting the best according to some performance measure is an important issue to the reliability engineers. It is quite common to consider the reliability, a function of life-lengths of systems, to be an appropriate performance measure. Here the limitations of direct method and signature based method of comparison have been elaborated. It has been seen that the reliability analysis becomes difficult for complex systems of higher orders. It is not possible for the signature based method to compare the systems with different orders. Moreover, the assumption of independence of component lifetimes, though works well in some cases, may not necessarily be valid always in real-life situations. The minimal cut set-based method of comparison discussed here is capable of combating with the limitations of the above methods and suggests a simple, useful method enabling comparison of the simple or complex systems of same or different orders, with independent or dependent component lives. Examples have been included to illustrate the method.

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References

  • Barlow RE, Proschan F (1981) Statistical theory of reliability and life testing: probability models. To Begin With, Silver Spring, MD

  • Belzunce F, Franco M, Ruiz J-M, Ruiz MC (2001) On partial orderings between coherent systems with different structures. Probab Eng Inf Sci 15(2):273–293

    Article  MathSciNet  MATH  Google Scholar 

  • Bhattacharya D, Roychowdhury S (2014) A study on estimation of reliability of a coherent system under field condition. Special issue on statistical estimation in complex problems. Model Assist Stat Appl 9(3):181–189

    Google Scholar 

  • Bhattacharya D, Samaniego FJ (2008) On the optimum allocation of components within coherent systems. Stat Probab Lett 78:938–943

    Article  MathSciNet  MATH  Google Scholar 

  • Block HW and Borges W (1984) Comparing coherent systems, inequalities in statistics and probability. Institute of Mathematical Statistics Lecture Notes, Monograph Series 5, pp 187–192

  • Gupta N (2013) Stochastic comparisons of residual lifetimes and inactivity times of coherent systems. J Appl Probab 50(3):848–860

    Article  MathSciNet  MATH  Google Scholar 

  • Hutchinson TP, Lai CD (1990) Continuous bivariate distributions, emphasising applications. Rumsby Scientific Publishing, Adelaide

    MATH  Google Scholar 

  • Joe H (1997) Multivariate models and dependence concepts. Chapman and Hall, London

    Book  MATH  Google Scholar 

  • Karanki DR, Jadhav PA, Chandrakar A, Srividya A, Verma AK (2010) Uncertainty analysis in PSA with correlated input parameters. Int Syst Assur Eng Manag 1(1):66–71

    Article  Google Scholar 

  • Kochar S, Mukherjee H, Samaniego FJ (1999) The signature of a coherent system and its application to comparison among systems. Nav Res Logist 46:507–523

    Article  MATH  Google Scholar 

  • Langberg NA, Proschan F (1979) A reliability growth model of a system with dependent components. Ann Probab 7(6):1082–1087

    Article  MathSciNet  MATH  Google Scholar 

  • Lehmann EL (1966) Some concepts of dependence. Ann Math Stat 37:1137–1153

    Article  MathSciNet  MATH  Google Scholar 

  • Roussas GG (1999) Positive and negative dependence with some statistical applications. In: Ghosh S (ed) Asymptotics, Nonparametrics, and Time Series: A Tribute to Madan Lal Puri. Marcel Dekker, Textbook Monograph # 158, pp 757–788

  • Roychowdhury S, Bhattacharya D (2009) Rearrangement of components in a system using component importance measures. J Stat Theory Pract 3(4):841–854

    Article  MathSciNet  MATH  Google Scholar 

  • Roychowdhury S, Bhattacharya D (2011) Effect of dependence of components on the system performance. Int J Pure Appl Math 66(1):91–112

    MathSciNet  MATH  Google Scholar 

  • Samaniego FJ (1985) On closure of the IFR class under formation of coherent systems. IEEE Trans Reliab R-34:69–72

    Article  MATH  Google Scholar 

  • Schottl A (1996) A reliability model of a system with dependent components. IEEE Trans Reliab 45(2):267–271

    Article  Google Scholar 

  • Shaked M, Shanthikumar JG (1994) Stochastic orders and their applications. Academic Press, Boston

    MATH  Google Scholar 

Download references

Acknowledgments

The authors are thankful to the anonymous referees for their comments which led to an improvement of the paper.

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Correspondence to Soma Roychowdhury.

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Bhattacharya, D., Roychowdhury, S. Performance-based ranking and selection of complex coherent systems. Int J Syst Assur Eng Manag 7 (Suppl 1), 82–89 (2016). https://doi.org/10.1007/s13198-014-0330-6

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