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Reseach Article

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

by R. K. Bhardwaj, Ravinder Singh
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
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Index Terms

Computer Science
Information Sciences

Keywords

Asymptotic Standby semi-Markov Approach Arbitrary distribution Server failure