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Reliability analysis of an embedded system with multiple vacations and standby  

Sharma, Richa (Department of Mathematics, JK Lakshmipat University)
Kaushik, Manju (Department of CSE, JECRC University)
Kumar, Gireesh (Department of CSE, JK Lakshmipat University)
Publication Information
International Journal of Reliability and Applications / v.16, no.1, 2015 , pp. 35-53 More about this Journal
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
Markov process; matrix method; mean time to failure; multiple vacations; reliability; repairable embedded system;
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1 Wattanapongsakorn, N. and Levitan, S. P. (2004). Reliability optimization models for embedded systems with multiple applications, IEEE Transactions on Reliability, 53, 406-416.   DOI
2 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.
3 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.
4 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.   DOI
5 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.   DOI
6 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
7 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.
8 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.
9 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.
10 Jain, M. and Bhargava, C. (2009). N-policy machine repair system with mixed standbys and unreliable server, Quality technology & quantitative management, 6, 171-184.   DOI
11 Jain, M., Rakhee and Maheshwari, S. (2004). N-policy for a machine repair system with spares and reneging, Applied mathematical modelling, 28, 513-531.   DOI
12 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.
13 Ke, J. C. and Wang, K. H. (2007). Vacation policies for machine repair problem with two type spares, Applied mathematical modelling, 31, 880-894.   DOI
14 Pattanaik B. and Chandrasekaran (2013). Safety reliability enhancement in fault tolerant automotive embedded system, Int. J. Inno. Tech. Exp. Eng, 2, 63-68.
15 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.   DOI
16 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.   DOI
17 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.
18 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.   DOI
19 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.
20 Subramanian, R. and Anantharaman, V. (1995). Reliability analysis of a complex standby redundant system, Reliability Engineering and System Safety, 48, 57-70.   DOI
21 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.   DOI
22 Wang, J. R. (2001). Ranking engineering design concepts using a fuzzy outranking preference model, Fuzzy Sets and Systems, 119, 161-170.   DOI