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Optimal System for Warm Standby Components in the Presence of Standby Switching Failures, Two Types of Failures and General Repair Time

by Mohamed Salah El-sherbeny
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 44 - Number 20
Year of Publication: 2012
Authors: Mohamed Salah El-sherbeny
10.5120/6379-8846

Mohamed Salah El-sherbeny . Optimal System for Warm Standby Components in the Presence of Standby Switching Failures, Two Types of Failures and General Repair Time. International Journal of Computer Applications. 44, 20 ( April 2012), 17-26. DOI=10.5120/6379-8846

@article{ 10.5120/6379-8846,
author = { Mohamed Salah El-sherbeny },
title = { Optimal System for Warm Standby Components in the Presence of Standby Switching Failures, Two Types of Failures and General Repair Time },
journal = { International Journal of Computer Applications },
issue_date = { April 2012 },
volume = { 44 },
number = { 20 },
month = { April },
year = { 2012 },
issn = { 0975-8887 },
pages = { 17-26 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume44/number20/6379-8846/ },
doi = { 10.5120/6379-8846 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:36:04.596918+05:30
%A Mohamed Salah El-sherbeny
%T Optimal System for Warm Standby Components in the Presence of Standby Switching Failures, Two Types of Failures and General Repair Time
%J International Journal of Computer Applications
%@ 0975-8887
%V 44
%N 20
%P 17-26
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

Two different system configurations with warm standby components, standby switching failures, two types of failures "common cause failure and hardware failure" and general repair are compared based on the availability. The time-to-failure for each of the primary and warm standby components are assumed to follow the exponential distribution. Laplace transforms of state probability equations are developed by using the supplementary variable technique. We develop the explicit expressions for the steady-state availability, Av, for two configurations. For all configurations, comparisons are made for specific values of distribution parameters and of the cost of the components. The configurations are ranked based on Av and cost/benefit, for three various repair time distributions: Gamma (G), Weibull (W) and Lognormal (L), where benefit is Av.

References
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Index Terms

Computer Science
Information Sciences

Keywords

Availability Standby Switching Failures Common Cause Failure "ccf" Supplementary Variable General Repair Times

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