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Reseach Article

Stochastic Modeling of a Computer System with Priority to PM over S/W Replacement Subject to Maximum Operation and Repair Times

by Ashish Kumar, S.c. Malik
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 43 - Number 3
Year of Publication: 2012
Authors: Ashish Kumar, S.c. Malik
10.5120/6084-8228

Ashish Kumar, S.c. Malik . Stochastic Modeling of a Computer System with Priority to PM over S/W Replacement Subject to Maximum Operation and Repair Times. International Journal of Computer Applications. 43, 3 ( April 2012), 27-34. DOI=10.5120/6084-8228

@article{ 10.5120/6084-8228,
author = { Ashish Kumar, S.c. Malik },
title = { Stochastic Modeling of a Computer System with Priority to PM over S/W Replacement Subject to Maximum Operation and Repair Times },
journal = { International Journal of Computer Applications },
issue_date = { April 2012 },
volume = { 43 },
number = { 3 },
month = { April },
year = { 2012 },
issn = { 0975-8887 },
pages = { 27-34 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume43/number3/6084-8228/ },
doi = { 10.5120/6084-8228 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:32:26.651103+05:30
%A Ashish Kumar
%A S.c. Malik
%T Stochastic Modeling of a Computer System with Priority to PM over S/W Replacement Subject to Maximum Operation and Repair Times
%J International Journal of Computer Applications
%@ 0975-8887
%V 43
%N 3
%P 27-34
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

This paper focuses on the stochastic modeling of a computer system of two identical units- one is initially operative and other is kept as spare in cold standby. In each unit h/w and s/w components work together and fail independently. There is a single server who visits the system immediately as and when required. The server takes the unit under preventive maintenance after a maximum operation time at normal mode. The h/w components under go for repair at their failure and are replaced by new one in case these are not repaired up to a maximum repair time. However, s/w components are replaced by new one instead of repair. Priority is given to the preventive maintenance (PM) of the unit over replacement of the s/w components. The failure time distribution of the components follow negative exponential whereas the distributions of preventive maintenance, repair and replacement time are taken as arbitrary with different probability density functions. Several reliability and economic indices have been obtained using semi-Markov and regenerative point technique. The graphical study of the results has also been made.

References
  1. Friedman, M. A. and Tran, P. 1992 Reliability Techniques for Combined Hardware/Software Systems, Proc. Of Annual Reliability and Maintability Symposiym, pp. 290-293.
  2. Welke, S. R. ; Labib, S. W. and Ahmed, A. M. 1995 Reliability Modeling of Hardware/ Software System, IEEE Transactions on Reliability, Vol. 44, No. 3, pp. 413-418.
  3. Singh, S. K. and Agrafiotis, G. K. 1995. Stochastic Analysis of a Two- Unit Cold Standby System Subject to Maximum Operation and Repair Time, Microelectron. Reliab. , Vol. 35,No. 12,pp. 1489-1493.
  4. Malik, S. C. and Jyoti Anand 2010. Reliability and Economic Analysis of a Computer System with Independent Hardware and Software Failures, Bulletin of Pure and Applied Sciences,Vol. 29 E (Math. & Stat. ), No. 1, pp. 141-153.
  5. Malik, S. C. and Nandal, P. 2010. Cost- Analysis of Stochastic Models with Priority to Repair Over Preventive Maintenance Subject to Maximum Operation Time, Edited Book, Learning Manual on Modeling, Optimization and Their Applications, Excel India Publishers, pp. 165-178.
  6. Malik, S. C. and Ashish Kumar 2011. Profit Analysis of a Computer System with Priority to Software Replacement over Hardware Repair Subject to Maximum Operation and Repair Times, International Journal of Engineering Science & Technology, Vol. 3, No. 10, pp. 7452- 7468.
  7. Anand, Jyoti and Malik,S. C. 2011. Reliability Modeling of a Computer System with Priority for Replacement at software Failure over Repair Activities at Hardware Failure. International Journal of Statistics and Systems, Vol. 6(3), pp. 315-325.
  8. Anand, Jyoti; Malik. S. C. and Kumar Ashish. 2011. Cost-Analysis Of A Computer System With Hardware Repair Subject To Inspection And Arbitrary Distributions For Hardware and Software Replacement. International Journal of Engg. Science and Technology (IJEST), Vol. 3 (9), pp. 7191-7204.
Index Terms

Computer Science
Information Sciences

Keywords

Computer System Stochastic Model Preventive Maintenance Maximum Operation And Repair Times Priority Replacement Reliability And Economic Measures