Bayesian Estimation of Linear/Circular Consecutive k-out-of-n: F System Reliability

doi:10.23940/ijpe.20.10.p2.15091516

Int J Performability Eng ›› 2020, Vol. 16 ›› Issue (10): 1509-1516.doi: 10.23940/ijpe.20.10.p2.15091516

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Bayesian Estimation of Linear/Circular Consecutive k-out-of-n: F System Reliability

J. Madhumitha and G. Vijayalakshmi^*

Department of Mathematics, Faculty of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur, Chennai Tamil Nadu 603203, India

Submitted on ; Revised on ; Accepted on
Contact: * E-mail-address: vijayalg@srmist.edu.in

Abstract

Abstract: In the different structure of coordinated circuits, microwave transfer stations in broadcast communications, oil pipe frameworks, vacuum frameworks in quickening agents, PC ring systems, and hand-off stations in space, the consecutive k-out-of-n: F system is useful. We consider n segments that are arranged in a model of successive k-out-of-n: F systems. Without lifetime information about the whole structure, it is attractive to utilize prior belief or experience on its segments in the Bayesian examination of the system. The exact Bayesian reliability formulas, mean time to system failure, and confidence interval are obtained for the proposed system.

Key words: Bayesian reliability, consecutive k-out-of-n: F system, gamma distribution, mean time to system failure, confidence interval

J. Madhumitha and G. Vijayalakshmi. Bayesian Estimation of Linear/Circular Consecutive k-out-of-n: F System Reliability [J]. Int J Performability Eng, 2020, 16(10): 1509-1516.

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References

1. D. T.Chiang and S. C. Niu, “Reliability of Consecutive k-out-of-n:F System,” IEEE Transactions of Reliability, Vol. R-30, No. 1, pp. 87-89, April 1981
2. W. Kuo and M. J. Zuo, “Optimal Reliability Modeling Principles and Applications,” John Wiley & Sons, Inc., Hoboken, New Jersey, 2003
3. M. S. Holla, “Bayesian Estimates of the Reliability Function,” Australian Journal of Statistic, Vol. 8, No. 1, pp. 32-35, 1966
4. C. Dermaann, G. J. Lieberman,S. M. Ross, “On the Consecutive k-out-of-n:F system,” IEEE Transactions of Reliability, Vol. R-13, No. 1, pp. 57-63, April 1982
5. N. Ghoraf, “On Reliability of Circular r-consecutive-k-out-of-n:F Systems,” International Journal of Reliability, Quality and Safety Engineering, Vol. 20, No. 4, pp. 1-11, 2013
6. M. Lambiris and S. Papastavridis, “Exact Reliability Formulas for Linear and Circular consecutive-k-out-of-n:F Systems,” IEEE Transactions on Reliability, Vol. R-34, No. 2, pp. 124-126, June 1985
7. K. P.Soman and K. B. Misra, “On Bayesian Estimation of System Reliability,” Microelectronics Reliability, Vol. 33, No. 10, pp. 1455-1459, 1993
8. S. Gunawan and P. Y. Papalambros, “A Bayesian Approach to Reliability - based Optimization with Incomplete Information,” Journal of Mechanical Design, Vol. 128, pp. 909-918, July 2006
9. M. Li and W. Q. Meeker, “Application of Bayesian Methods in Reliability Data Analysis,” Journal of Quality Technology, Vol. 46, No. 1, pp. 1-23, January 2014
10. H. Y. Dui, L. W. Chen,J. C. Li, “Importance Analysis in Two Kinds of Redundant Systems: k-out-of-n and Consecutive k-out-of-n:F Systems,” Advances in Mechanical Engineering, Vol. 11, No. 1, pp. 1-13, 2019
11. K. K.Sharma and R. K. Bhutani, “Bayesian Reliability Analysis of a Series System,” Microelectronics Reliability, Vol. 34, No. 4, pp. 761-763, 1994
12. K. K.Sharma and R .K. Bhutani, “Bayesian Reliability Analysis of a Parallel System,”Reliability Engineering and System Safety, Vol. 37, pp. 227-230, 1992
13. K. K.Sharma and H. Krishna, “Bayesian Reliability Analysis of ak-out-of-n System and the Estimation of Sample Size and Censoring Time,” Reliability Engineering and System Safety, Vol. 44, pp. 11-15, 1994
14. E. A.Pekoz and S. M. Ross, “A Simple Derivation of Exact Reliability Formulas for Linear and Circular Consecutive-k-out-of-n :F Systems,” Journal of Applied Probability, Vol. 32, No. 2, pp. 554-557, 1995
15. E. B. Wilson, “Probable Inference, the Law of Succession, and Statistical Inference,” Journal of the American Statistical Association, Vol. 22, No. 158, pp. 209-212, 1927

Bayesian Estimation of Linear/Circular Consecutive k-out-of-n: F System Reliability

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