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Vol 4, No 1 :

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Long Run Performance of a Standby System under Repair Time Threshold& Server Failure
R. K. Bhardwaj , R Singh
Abstract

This paper investigates the performance of a cold standby system consisting of two identical units with a threshold on the repair time and a server subjected to failure. The system starts operation with one active and another cold standby unit. Upon failure the unit is taken by the server for necessary restorative action. The repair is allowed only up to a specified time limit. If it exceeds this limit, the unit gets replaced by new identical one, to avoid any possible loss. This time limit is taken as a threshold. The steady state expressions for measures of system dependability are obtained using semi-Markov processes and regenerative point technique. An illustrative example is also given as a particular case to communicate the essence of theoretical results.
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References

Jinhua Cao; Yanhong Wu; Reliability analysis of a two unit cold standby system with a replaceable service facility, Microelectron. Reliab., 29(2), 145-150 (1989).
K. M. El-Said; M. S. El-Sherbeny; Stochastic analysis of a two-unit cold standby system with two-stage repair and waiting time, Sankhya: The Indian Journal of Statistics, 72-B(I), 1-10 (2010).
Naveen Nandal; S. C. Malik; P. Nandal; Stochastic modeling of a system with priority for operation to new unit and preventive maintenance at PFS subject to MOT, Journal Of Reliability And Statistical Studies, 3(2), 79-91 (2010).
R. D. Yearout; P. Reddy; D. L. Grosh; Standby redundancy in reliability-a review, IEEE Transactions on Reliability, 35(3), 285-292 (1986).
R. K Bhardwaj; S. C Malik; Stochastic Modeling and Performance Analysis of 2(k)-out-of-3 (n) System with Inspection subject to Operations Restrictions, Journal of Reliability and Statistical; studies, 4(1), 85-93 (2011).
R. K. Bhardwaj; K. Kaur; S. C. Malik; Stochastic modeling of a system with maintenance and replacement of standby subject to inspection, American Journal of Theoretical and Applied Statistics, 4(5), 339-346 (2015).
R. K. Bhardwaj; R. Singh; An inspection-repair-replacement model of a stochastic standby system with server failure, Mathematics in Engineering, Science & Aerospace (MESA), 6(2), 191-203 (2015a).
R. K. Bhardwaj; R. Singh; Semi markov approach for asymptotic performance analysis of a standby system with server failure, International Journal of Computer Applications, 98(3), 9-14 (2014).
R. K. Bhardwaj; R. Singh; Semi-markov model of a standby system with general distribution of arrival and failure times of server, American Journal of Applied Mathematics and Statistics, 3(3), 105-110 (2015b).
A. K. Dhankar; R. K Bhardwaj; S. C Malik; Reliability Modeling and Profit Analysis of a system with different Failure Modes and Replaceable Server Subject to Inspection, International Journal of Statistics and Analysis, 2(3), 245-255 (2012).
S. Osaki; T. Nakagawa; Bibliography for reliability and availability of stochastic systems, IEEE Transactions on Reliability, 25(4), 284-287 (1976).
S. K. Srinivasan; M. N. Gopalan; Probabilistic analysis of a 2-unit cold- standby system with a single repair facility, IEEE Transactions on Reliability., 22(5), 250-254 (1973).
S. M. Gupta; N. K. Jaiswal; L. R. Goel; Reliability analysis of a two-unit cold standby redundant system with two operating modes, Microelectron. Reliab., 22(4), 747-758 (1982).
W. L. Smith; Renewal theory and its ramifications. Journal of the Royal Statistical Society, 20(2), 243-302 (1958).

ISSN(P) 2350-0174

ISSN(O) 2456-2378

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