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Stochastic Analysis of Markov Chain Model with different Types of Repair Facility

by Manoj Kumar, Shiv Kumar
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 184 - Number 25
Year of Publication: 2022
Authors: Manoj Kumar, Shiv Kumar
10.5120/ijca2022922306

Manoj Kumar, Shiv Kumar . Stochastic Analysis of Markov Chain Model with different Types of Repair Facility. International Journal of Computer Applications. 184, 25 ( Aug 2022), 34-40. DOI=10.5120/ijca2022922306

@article{ 10.5120/ijca2022922306,
author = { Manoj Kumar, Shiv Kumar },
title = { Stochastic Analysis of Markov Chain Model with different Types of Repair Facility },
journal = { International Journal of Computer Applications },
issue_date = { Aug 2022 },
volume = { 184 },
number = { 25 },
month = { Aug },
year = { 2022 },
issn = { 0975-8887 },
pages = { 34-40 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume184/number25/32470-2022922306/ },
doi = { 10.5120/ijca2022922306 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-07T01:22:23.946915+05:30
%A Manoj Kumar
%A Shiv Kumar
%T Stochastic Analysis of Markov Chain Model with different Types of Repair Facility
%J International Journal of Computer Applications
%@ 0975-8887
%V 184
%N 25
%P 34-40
%D 2022
%I Foundation of Computer Science (FCS), NY, USA
Abstract

The paper deals with cost-benefit and reliability analysis of two non-identical units considering all random variables are statistically independent, by using regenerative point technique. Initially, one unit is operative and other unit is warm standby, a single repair facility is always available with the system to perform all repair activities. The failure time distribution of both units taken as an exponential distribution with different parameters whereas all repair time distributions are taken as general. Various important characteristics of reliability like steady-state availability, mean sojourn time, mean time to system failure (MTSF), busy period and cost-benefit of the system have been studied.

References
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  9. G.R. Mohtashami Borzadaran, and M. Asadi, Reliability Modeling of Two-unit Cold Standby Systems: A Periodic Switching Approach, Z. Behboudi, Applied Mathematical Modelling, 92 176-195 (2021).
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Index Terms

Computer Science
Information Sciences

Keywords

Two non-identical units Transition probability Mean sojourn time MTSF Availability Busy period and Cost-benefit analysis

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