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Stochastic Analysis of a Computer System with Hardware Redundancy and Failure of Service Facility during Repair

by Amit Kumar, S. C. Malik
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 178 - Number 19
Year of Publication: 2019
Authors: Amit Kumar, S. C. Malik
10.5120/ijca2019918961

Amit Kumar, S. C. Malik . Stochastic Analysis of a Computer System with Hardware Redundancy and Failure of Service Facility during Repair. International Journal of Computer Applications. 178, 19 ( Jun 2019), 19-26. DOI=10.5120/ijca2019918961

@article{ 10.5120/ijca2019918961,
author = { Amit Kumar, S. C. Malik },
title = { Stochastic Analysis of a Computer System with Hardware Redundancy and Failure of Service Facility during Repair },
journal = { International Journal of Computer Applications },
issue_date = { Jun 2019 },
volume = { 178 },
number = { 19 },
month = { Jun },
year = { 2019 },
issn = { 0975-8887 },
pages = { 19-26 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume178/number19/30642-2019918961/ },
doi = { 10.5120/ijca2019918961 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-07T00:50:51.439365+05:30
%A Amit Kumar
%A S. C. Malik
%T Stochastic Analysis of a Computer System with Hardware Redundancy and Failure of Service Facility during Repair
%J International Journal of Computer Applications
%@ 0975-8887
%V 178
%N 19
%P 19-26
%D 2019
%I Foundation of Computer Science (FCS), NY, USA
Abstract

A stochastic model for a computer system is developed by providing hardware redundancy in cold standby. The hardware and software are considered as the two main components of the system having operative and complete failure modes. A single service facility is used to repair the hardware component and also to upgrade the software. The service facility is subjected to failure while repairing the hardware. Treatment is given to the failed service facility so that it can resume the assigned repair activities with full efficiency. The up-gradation of the software is done either at its outdated features or when it fails to follow the instructions properly in order to complete the assigned jobs. The failure times of the components and service facility follow negative exponential distribution while the distributions of hardware repair, software up-gradation and treatment time of the service facility are taken as arbitrary with different probability functions. The expressions for some reliability measures are derived in steady state by using semi-Markov process and regenerative point techniques. The graphical study of these measures has also been made for arbitrary values of the parameters.

References
  1. S.C. Malik & Anil Kumar (2010): Probabilistic Analysis of a System with Server Failure during Repair, Journal of Reliability and Statistical Studies, Vol.3(2), pp.1-10
  2. S.C. Malik & Jyoti Anand (2010): Reliability and economic analysis of a computer system with independent hardware and software failures. Bulletin of Pure and Applied Sciences, Vol.29E(01),pp.141-153
  3. Jyoti Anand; & S.C. Malik (2012):Probabilistic Analysis of a Computer System with Inspection and Priority for Repair Activities of H/W over Replacement of S/W. International Journal of Computer Applications, Vol.44 (1), pp. 13-21
  4. Ashish Kumar; Jyoti Anand & S.C. Malik (2013): Stochastic Modeling of a Computer System with Priority to Up-gradation of Software over Hardware Repair Activities. International Journal of Agricultural and Statistical Sciences, Vol. 9(1), pp. 117-126
  5. S.C. Malik & V. J. Munday (2014): Stochastic Modelling of a Computer System with Hardware Redundancy. International Journal of Computer Applications, Vol. 89(7), pp. 26-30
  6. Jyoti Nandal & R. Rathee (2015): Stochastic Analysis of a Redundant System with Server Failure and Conditional Arrival Time. International Journal of Statistics and Reliability Engineering (IJSRE), Vol. 2(1), pp.94-102
Index Terms

Computer Science
Information Sciences

Keywords

Computer System Hardware Redundancy Failure of Service Facility Reliability Measures and semi-Markov Process

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