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Availability Prediction of Repairable Fault-Tolerant System with Imperfect Coverage, Reboot, and Common Cause Failure

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Performance Prediction and Analytics of Fuzzy, Reliability and Queuing Models

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Abstract

In this article, we consider two Markov models with standbys and imperfect coverage for the performance prediction of a repairable redundant system. Model I deals with a redundant system comprising one operating unit and one standby unit. In model II, some realistic features such as common cause failure, reboot, and recovery are taken into account to analyze a two-unit system. The reliability and MTTF analyses have been carried out using Laplace transform approach for model I. The availability analysis of the system studied in model II has also been evaluated by implementing the recursive approach. The analytic expressions for predicting the availability and other performance measures of the systems are presented. Furthermore, the numerical results obtained from the analytical expressions are compared with the hybrid soft computing technique based on adaptive neuro-fuzzy inference system (ANFIS).

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References

  1. Goel, L.R., Shrivastava, P.: Profit analysis of a two-unit redundant system with provision for rest and correlated failures and repairs. Microelectron. Reliab. 31, 827–833 (1991)

    Article  Google Scholar 

  2. Gupta, S.M., Jaiswal, N.K., Goel, L.R.: Stochastic behaviour of a standby redundant system with three modes. Microelectron. Reliab. 23, 329–331 (1983)

    Article  Google Scholar 

  3. Jain, M.: Reliability prediction of repairable redundant system with imperfect coverage and repair. Arab. J. Sci. Eng. 41, 3717–3725 (2016). https://doi.org/10.1007/s13369-015-1865-9

    Article  Google Scholar 

  4. Jain, M., Meena, R.K.: Markovian analysis of unreliable multi-components redundant fault tolerant system with working vacation and F-policy. Cogent. Math. 4, 1–17 (2017a). https://doi.org/10.1080/23311835.2017.1306961

    Article  Google Scholar 

  5. Jain, M., Meena, R.K.: Fault tolerant system with imperfect coverage, reboot and server vacation. J. Ind. Eng. Int. 2, 171–180 (2017b). https://doi.org/10.1007/s40092-016-0180-8

    Article  Google Scholar 

  6. Jain, M., Rani, S.: Availability prediction of imperfect fault coverage system with reboot and common cause failure. Int. J. Oper. Res. 17, 374–397 (2013)

    Article  Google Scholar 

  7. Jain, M., Shekhar, C., Meena, R.K.: Admission control policy of maintenance for unreliable server machining system with working vacation. Arab. J. Sci. Eng. 42, 2993–3005 (2017). https://doi.org/10.1007/s13369-017-2488-0

    Article  Google Scholar 

  8. Jain, M., Upadhyaya, S.: Threshold N-policy for degraded machining system with multiple type spares and multiple vacations. Qual. Technol. Quant. Manag. 6, 185–203 (2009). https://doi.org/10.1080/16843703.2009.11673193

    Article  Google Scholar 

  9. Jang, J.R.: ANFIS: adaptive-network-based fuzzy inference system. IEEE Trans. Syst. Man. Cybern. 23, 665–685 (1993). https://doi.org/10.1109/21.256541

    Article  Google Scholar 

  10. Kumar, A., Agarwal, M.: Analysis of a 2-unit standby redundant system with two types of failures. IEEE Trans. Reliab. 27, 301–302 (1978). https://doi.org/10.1109/TR.1978.5220383

    Article  Google Scholar 

  11. Kumar, A., Agarwal, M.: A review of standby redundant systems. IEEE Trans. Reliab. 29, 290–294 (1980). https://doi.org/10.1109/TR.1980.5220842

    Article  Google Scholar 

  12. Lai, M.T., Yuan, J.: Optimal replacement policy (N*, n*) for a parallel system with common cause failure and geometric repair time. Microelectron. Reliab. 30, 973–982 (1990)

    Article  Google Scholar 

  13. Lin, Z.C., Liu, C.Y.: Analysis and application of the adaptive neuro-fuzzy inference system in prediction of CMP machining parameters. Int. J. Comput. Appl. Technol. 17, 80–89 (2003)

    Article  Google Scholar 

  14. Moustafa, M.S.: Reliability analysis of K-out-of-N: G systems with dependent failures and imperfect coverage. Reliab. Eng. Syst. Saf. 58, 15–17 (1997). https://doi.org/10.1016/S0951-8320(97)00050-1

    Article  Google Scholar 

  15. Osaki, S., Nakagawa, T.: Bibliography for reliability and availability of stochastic systems. IEEE Trans. Reliab. 25, 284–287 (1976)

    Article  Google Scholar 

  16. Pandey, D., Jacob, M.: Cost analysis, availability and MTTF of a three state standby complex system under common cause and human failures. Microelectron. Reliab. 35, 91–95 (1995)

    Article  Google Scholar 

  17. Pham, H.: Reliability analysis of a high voltage system with dependent failures and imperfect coverage. Reliab. Eng. Syst. Saf. 37, 25–28 (1992). https://doi.org/10.1016/0951-8320(92)90054-O

    Article  Google Scholar 

  18. Tomohiro, T., Sugeno, M.: Fuzzy identification of systems and its applications to modeling and control. IEEE Trans. Syst. Man. Cybern. 15, 116–132 (1985). https://doi.org/10.1109/TSMC.1985.6313399

    Article  Google Scholar 

  19. Wang, K.H., Yen, T.C., Fang, Y.C.: Comparison of availability between two systems with warm standby units and different imperfect coverage. Qual. Technol. Quant. Manag. 9, 265–282 (2012)

    Article  Google Scholar 

  20. Wang, K.H., Chiu, L.W.: Cost benefit analysis of availability systems with warm standby units and imperfect coverage. Appl. Math. Comput. 172, 1239–1256 (2006). https://doi.org/10.1016/j.amc.2005.02.052

    Article  Google Scholar 

  21. Yuge, T., Maruyama, M., Yanagi, S.: Reliability of a k -out-of- n system with common-cause failures using multivariate exponential distribution. Procedia. Comput. Sci. 96, 968–976 (2016). https://doi.org/10.1016/j.procs.2016.08.101

    Article  Google Scholar 

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Correspondence to Pankaj Kumar .

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Jain, M., Kumar, P. (2019). Availability Prediction of Repairable Fault-Tolerant System with Imperfect Coverage, Reboot, and Common Cause Failure. In: Deep, K., Jain, M., Salhi, S. (eds) Performance Prediction and Analytics of Fuzzy, Reliability and Queuing Models . Asset Analytics. Springer, Singapore. https://doi.org/10.1007/978-981-13-0857-4_6

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