International Journal of Reliability and Applications

The Korean Reliability Society (한국신뢰성학회)
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Reliability analysis of an embedded system with multiple vacations and standby

  • Received : 2014.10.10
  • Accepted : 2015.06.04
  • Published : 2015.06.30
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Abstract

This investigation deals with reliability and sensitivity analysis of a repairable embedded system with standby wherein repairman takes multiple vacations. The hardware system consists of 'M' operating and 'S' standby components. The repairman can leave for multiple vacations of random length during its idle time. Whenever any operating unit fails, it is immediately replaced by a standby unit if available. Moreover, governing equations of an embedded system are constructed using appropriate birth-death rates. The vacation and repair time of repairman are exponentially distributed. The matrix method is used to find the steady-state probabilities of the number of failed components in the embedded system as well as other performance measures. Reliability indexes are presented. Further, numerical experiments are carried out for various system characteristics to examine the effects of different parameter. Using a special class of neuro-fuzzy systems i.e. Adaptive Network-based Fuzzy Interference Systems (ANFIS), we also approximate various performance measures. Finally, the conclusions and future research directions are provided.

Keywords

References

  1. Azaron, A., Katagiri, H., Sakaw, M. and Modarres, M. (2005). Reliability function of a class of time dependent systems with standby redundancy, European Journal of Operational Research, 164, 378-386. https://doi.org/10.1016/j.ejor.2003.10.044
  2. El-Damcese, M. A. (2009). Analysis of warm standby system subject to common cause failures with time varying failure and repair rates, Applied Mathematical Science, 3, 853-860
  3. EL-Damcese, M. A. and Shama M. S. (2015). Reliability and availability analysis of a 2-state repairable system with two types of failure, Engineering Mathematics Letters, 2, 1-9.
  4. Haggag, M. Y. (2014). Cost analysis of K-out of-N repairable system using a continuoustime discrete state Markov process, Science Journal of Applied Mathematics and Statistics, 1-15.
  5. Hu, L., Li, J. and Fang, W. (2008). Reliability analysis of an N-component series system with M failure modes and vacation, ICICE Xpr. Let, 2, 53-58.
  6. Jain, M. and Bhargava, C. (2009). N-policy machine repair system with mixed standbys and unreliable server, Quality technology & quantitative management, 6, 171-184. https://doi.org/10.1080/16843703.2009.11673192
  7. Jain, M., Rakhee and Maheshwari, S. (2004). N-policy for a machine repair system with spares and reneging, Applied mathematical modelling, 28, 513-531. https://doi.org/10.1016/j.apm.2003.10.013
  8. Kaushik, M., Kumar, G., Preeti and Sharma, R. (2014). Availability analysis for embedded system with n-version programming using fuzzy approach, International Journal of Software Engineering, Technology and Applications, 1, 90-101.
  9. Ke, J. C. and Wang, K. H. (2007). Vacation policies for machine repair problem with two type spares, Applied mathematical modelling, 31, 880-894. https://doi.org/10.1016/j.apm.2006.02.009
  10. Kumar, K. and Jain, M. (2013). Threshold F-policy and N-policy for multi-component machining system with warm standbys, Journal of Industrial Engineering International, 9, 1-9. https://doi.org/10.1186/2251-712X-9-1
  11. Kuo, S. Y., Huang, C. Y. and Lyu, M. R. (2001). Framework for modeling software reliability using various testing-effort and fault detection rates, IEEE Transactions on Reliability, 50, 310-320. https://doi.org/10.1109/24.974129
  12. Pando, H. D., Asensiz, S. C., Lima, R. S., Calderin, J. F. and Suarez, A. R. (2013). An application of Fuzzy logic for hardware/software partitioning in embedded systems, Comp. Sis, 17, 25-39.
  13. Pattanaik B. and Chandrasekaran (2013). Safety reliability enhancement in fault tolerant automotive embedded system, Int. J. Inno. Tech. Exp. Eng, 2, 63-68.
  14. Rajamanickam, S. P. and Chandrasekar, B. (1997). Reliability measure for two unit systems with a dependent structure for failure and repair times, Microelectronics and Reliability, 37, 829-833. https://doi.org/10.1016/S0026-2714(96)00115-1
  15. Sharma, R. (2015). Reliability analysis for a repairable system under N-policy and Imperfect Coverage, Proceedings of the International MultiConference of Engineers and Computer Scientists, 2, 1001-1004.
  16. Subramanian, R. and Anantharaman, V. (1995). Reliability analysis of a complex standby redundant system, Reliability Engineering and System Safety, 48, 57-70. https://doi.org/10.1016/0951-8320(94)00073-W
  17. Verdegay, J. L., Yager, R. R. and Bonissone, P. P. (2008). On heuristics as a fundamental constituent of soft computing, Fuzzy Sets and Systems, 159, 846-855. https://doi.org/10.1016/j.fss.2007.08.014
  18. Wang, J. R. (2001). Ranking engineering design concepts using a fuzzy outranking preference model, Fuzzy Sets and Systems, 119, 161-170. https://doi.org/10.1016/S0165-0114(99)00104-9
  19. Wattanapongsakorn, N. and Levitan, S. P. (2004). Reliability optimization models for embedded systems with multiple applications, IEEE Transactions on Reliability, 53, 406-416. https://doi.org/10.1109/TR.2004.833310
  20. Wen-qing, W. U., Ying-hui, T. and Ying, J. (2013). Study on a k-out-of-n:G repairable system with multiple vacations and one replaceable repair facility, Systems Engineering - Theory & Practice, 33, 2604-2614.
  21. Wu, Y., Wang S. and Yu, Z. (2010). Embedded software reliability testing and its practice, International Conference on Computer Design and Applications, 2, 24-27.
  22. Yuan, Li and Cui, Z. D. (2013). Reliability analysis for the consecutive k-out-of-n: F system with repairmen taking multiple vacations, Applied mathematical modelling, 37, 4685-4697. https://doi.org/10.1016/j.apm.2012.09.008