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Stochastic Analysis of Reliability Indices for a Redundant System under Poisson Shocks

by Mohamed S. El-Sherbeny, Elsayed Elshoubary
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 176 - Number 19
Year of Publication: 2020
Authors: Mohamed S. El-Sherbeny, Elsayed Elshoubary
10.5120/ijca2020920143

Mohamed S. El-Sherbeny, Elsayed Elshoubary . Stochastic Analysis of Reliability Indices for a Redundant System under Poisson Shocks. International Journal of Computer Applications. 176, 19 ( May 2020), 21-30. DOI=10.5120/ijca2020920143

@article{ 10.5120/ijca2020920143,
author = { Mohamed S. El-Sherbeny, Elsayed Elshoubary },
title = { Stochastic Analysis of Reliability Indices for a Redundant System under Poisson Shocks },
journal = { International Journal of Computer Applications },
issue_date = { May 2020 },
volume = { 176 },
number = { 19 },
month = { May },
year = { 2020 },
issn = { 0975-8887 },
pages = { 21-30 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume176/number19/31308-2020920143/ },
doi = { 10.5120/ijca2020920143 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-07T00:42:57.623986+05:30
%A Mohamed S. El-Sherbeny
%A Elsayed Elshoubary
%T Stochastic Analysis of Reliability Indices for a Redundant System under Poisson Shocks
%J International Journal of Computer Applications
%@ 0975-8887
%V 176
%N 19
%P 21-30
%D 2020
%I Foundation of Computer Science (FCS), NY, USA
Abstract

This paper studies the effectiveness of repairman on system consisting of two operating repairable units. The system fail due to external factor like Poisson shocks that occur in different times. The arrivals of the shocks follow a Poisson process and the magnitude of a shock is an independent random variable following a known distribution. Repair time, the length of repairman’s vacation and recall time are arbitrary distributions. Certain important results have been derived: the reliability, mean time to failure, steady-state availability and steady-state frequency of the system using supplementary variable technique. Special case is derived from the system.

References
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  2. El-Sherbeny. S. M. 2013. Stochastic analysis of a two non-identical unit parallel system with different types of failures subject to preventive maintenance and repairs. Hindawi Publishing Corporation Mathematical Problems in Engineering (Volume 2013).
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  10. Jia, J. and Wu, S. 2009. A replacement policy for a repairable system with its repairman having multiple vacations, Computers and Industrial Engineering 57 (1) 156 –160.
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Index Terms

Computer Science
Information Sciences

Keywords

Poisson shock Steady-state availability Steady-state frequency Mean time to failure Supplementary variable technique.

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