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

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International Journal of Computer Applications
© 2014 by IJCA Journal
Volume 98 - Number 3
Year of Publication: 2014
Authors:
R. K. Bhardwaj
Ravinder Singh
10.5120/17161-7217

R K Bhardwaj and Ravinder Singh. Article: Semi Markov Approach for Asymptotic Performance Analysis of a Standby System with Server Failure. International Journal of Computer Applications 98(3):9-14, July 2014. Full text available. BibTeX

@article{key:article,
	author = {R. K. Bhardwaj and Ravinder Singh},
	title = {Article: Semi Markov Approach for Asymptotic Performance Analysis of a Standby System with Server Failure},
	journal = {International Journal of Computer Applications},
	year = {2014},
	volume = {98},
	number = {3},
	pages = {9-14},
	month = {July},
	note = {Full text available}
}

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.

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