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Stochastic Modelling of a Computer System with Hardware Redundancy

by S. C. Malik, V. J. Munday
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 89 - Number 7
Year of Publication: 2014
Authors: S. C. Malik, V. J. Munday
10.5120/15516-4354

S. C. Malik, V. J. Munday . Stochastic Modelling of a Computer System with Hardware Redundancy. International Journal of Computer Applications. 89, 7 ( March 2014), 26-30. DOI=10.5120/15516-4354

@article{ 10.5120/15516-4354,
author = { S. C. Malik, V. J. Munday },
title = { Stochastic Modelling of a Computer System with Hardware Redundancy },
journal = { International Journal of Computer Applications },
issue_date = { March 2014 },
volume = { 89 },
number = { 7 },
month = { March },
year = { 2014 },
issn = { 0975-8887 },
pages = { 26-30 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume89/number7/15516-4354/ },
doi = { 10.5120/15516-4354 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T22:08:38.298550+05:30
%A S. C. Malik
%A V. J. Munday
%T Stochastic Modelling of a Computer System with Hardware Redundancy
%J International Journal of Computer Applications
%@ 0975-8887
%V 89
%N 7
%P 26-30
%D 2014
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper, an effort for the stochastic analysis of a computer system has been made considering the idea of hardware redundancy in cold standby. The hardware and software failures occur independently in the computer system with some probability. A single server is employed immediately to conduct hardware repair and software up-gradation on need basis. The repair and up-gradation activities performed by the server are perfect. The time to hardware and software failures follows negative exponential distribution, whereas the distributions of hardware repair and software up-gradation times are taken as arbitrary with different probability density functions. The expressions for various reliability measures are derived in steady state using semi-Markov process and regenerative point technique. The graphs are drawn for arbitrary values of the parameters to depict the behaviour of some important performance measures of the system model.

References
  1. Anand, Jyoti and Malik, S. C. (2012): Analysis of a Computer System with Arbitrary Distributions for H/W and S/W Replacement Time and Priority to Repair Activities of H/W over Replacement of the S/W, International Journal of Systems Assurance Engineering and Management, Vol. 3 (3), pp. 230-236.
  2. Cao, Jinhua and Wu, Yan Hong (1989): Reliability of two-unit cold standby system with replaceable repair facility. Microelectronics & Reliability, Vol. 29(2), pp. 145-150.
  3. Kumar, Ashish; Anand, Jyoti and Malik, S. C. (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.
  4. Kumar, Jitender; Kadyan, Mukender Singh and Malik, Suresh Chander (2012): Cost-analysis of a two-unit cold standby system subject to degradation, inspection and priority. Maintenance and Reliability, Vol. 14(4), pp. 278-283.
  5. Lam, Y. F. (1997): A maintenance model for two-unit redundant system. Microelectronics & Reliability, Vol. 37(3), pp. 497-504.
  6. Malik, S. C. and Anand, Jyoti (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.
  7. Yadavalli, V. S. S. , Chanderasekhar and Natarajan, R. (2004): A study on two-unit standby system with Erlangian repair time. Asia-Pacific Journal of Operational Research,Vol. 21(3), pp. 271-277.
Index Terms

Computer Science
Information Sciences

Keywords

Computer System Hardware Redundancy Stochastic Model and Reliability Measures