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Semi Markov Approach for Asymptotic Performance Analysis of a Standby System with Server Failure

by R. K. Bhardwaj, Ravinder Singh
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 98 - Number 3
Year of Publication: 2014
Authors: R. K. Bhardwaj, Ravinder Singh
10.5120/17161-7217

R. K. Bhardwaj, Ravinder Singh . Semi Markov Approach for Asymptotic Performance Analysis of a Standby System with Server Failure. International Journal of Computer Applications. 98, 3 ( July 2014), 9-14. DOI=10.5120/17161-7217

@article{ 10.5120/17161-7217,
author = { R. K. Bhardwaj, Ravinder Singh },
title = { Semi Markov Approach for Asymptotic Performance Analysis of a Standby System with Server Failure },
journal = { International Journal of Computer Applications },
issue_date = { July 2014 },
volume = { 98 },
number = { 3 },
month = { July },
year = { 2014 },
issn = { 0975-8887 },
pages = { 9-14 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume98/number3/17161-7217/ },
doi = { 10.5120/17161-7217 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T22:25:13.788654+05:30
%A R. K. Bhardwaj
%A Ravinder Singh
%T Semi Markov Approach for Asymptotic Performance Analysis of a Standby System with Server Failure
%J International Journal of Computer Applications
%@ 0975-8887
%V 98
%N 3
%P 9-14
%D 2014
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper the asymptotic performance of a cold standby system with two identical units is analyzed. When a unit fails it is inspected by a server to check the feasibility of repair or replacement. If repair is not feasible, unit is replaced by new. The server is subjected to failure while performing its job. The system model is developed using semi-Markov approach of Markov processes. The regenerative point technique is used to derive expressions for various measures of system performance. The random variables associated with the system (failure time, inspection time, repair time, treatment time) are assumed to follow arbitrary distribution with different probability density functions. A numerical study is also presented to demonstrate the practical importance of the research.

References
  1. Bao, Xinzhuo, and Lirong Cui. "A study on reliability for a two-item cold standby Markov repairable system with neglected failures. " Communications in Statistics-Theory and Methods 41. 21 (2012): 3988-3999.
  2. Bhardwaj, R. K. , and Malik, S. C. Asymptotic performance analysis of 2oo3 cold standby system with constrained repair and arbitrary distributed inspection time. International Journal of Applied Engineering Research 6, 08 (2011), 1493-1502.
  3. Davies, B. Integral transforms and their applications, vol. 41. Springer, 2002.
  4. El-Said, K. M. , and El-Sherbeny, M. S. Stochastic analysis of a two-unit cold standby system with two-stage repair and waiting time. Sankhya B 72, 1 (2010), 1-10.
  5. Ibe, Oliver C. Markov processes for stochastic processes, Elsevier Academic Press, USA (2009).
  6. Ke, Jyh-Bin, Jyh-Wei Chen, and Kuo-Hsiung Wang. "Reliability measures of a repairable system with standby switching failures and reboot delay. " Quality Technology & Quantitative Management 8. 1 (2011): 15-26.
  7. Leung, Kit Nam Francis, Yuan Lin Zhang, and Kin Keung Lai. "Analysis for a two-dissimilar-component cold standby repairable system with repair priority. " Reliability Engineering & System Safety 96. 11 (2011): 1542-1551.
  8. Malik, S. C. , Dhankar, A. K. and Kumar, Ashish. "Cost-Benefit Analysis of a System with Server Failure and Replacement of the Unit at Different Failure Modes Subject to Inspection". International Journal of Computer Applications 47(1), (2012), 27-33.
  9. Mahmoud, M. A. W. and Moshref, M. E. , Probabilistic analysis of a two unit cold standby redundant system subject to failure of controlled device. Microelectron. Reliab. Vol. 37 (4) (1997), 623-628.
  10. Osaki, S. , and Nakagawa, T. On a two-unit standby redundant system with standby failure. Operations Research 19, 2 (1971), 510-523.
Index Terms

Computer Science
Information Sciences

Keywords

Asymptotic Standby semi-Markov Approach Arbitrary distribution Server failure

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