CFP last date
22 April 2024
Reseach Article

Performance Analysis of a Stochastic System with Standby Failure and Maintenance

by R.K. Bhardwaj, Komaldeep Kaur, S.C. Malik
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 125 - Number 1
Year of Publication: 2015
Authors: R.K. Bhardwaj, Komaldeep Kaur, S.C. Malik
10.5120/ijca2015904139

R.K. Bhardwaj, Komaldeep Kaur, S.C. Malik . Performance Analysis of a Stochastic System with Standby Failure and Maintenance. International Journal of Computer Applications. 125, 1 ( September 2015), 6-11. DOI=10.5120/ijca2015904139

@article{ 10.5120/ijca2015904139,
author = { R.K. Bhardwaj, Komaldeep Kaur, S.C. Malik },
title = { Performance Analysis of a Stochastic System with Standby Failure and Maintenance },
journal = { International Journal of Computer Applications },
issue_date = { September 2015 },
volume = { 125 },
number = { 1 },
month = { September },
year = { 2015 },
issn = { 0975-8887 },
pages = { 6-11 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume125/number1/22394-2015904139/ },
doi = { 10.5120/ijca2015904139 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T23:14:51.314332+05:30
%A R.K. Bhardwaj
%A Komaldeep Kaur
%A S.C. Malik
%T Performance Analysis of a Stochastic System with Standby Failure and Maintenance
%J International Journal of Computer Applications
%@ 0975-8887
%V 125
%N 1
%P 6-11
%D 2015
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In industrial systems some components are kept in spare to cope up with the failures of operating components. The failure of these spares too, significantly affects the functioning and outputs of the system. The current paper investigates a semi-Markov model for a redundant system consisting of two identical units and a repair facility. The system starts operating with one unit in operation and remaining in redundancy mode. The failure rate of unit in redundancy is zero, initially. After crossing a pre specified time the redundant unit is expected to fail and thereafter it goes under inspection to check feasibility of maintenance or replacement so that necessary remedial action can be taken. Under this framework the expressions for various measures of system performance are derived exploring the regenerative point technique of renewal theory. A numerical example, for a particular case, illustrates the practical importance of the study graphically.

References
  1. Bhardwaj R.K. and Singh, Ravinder, Semi Markov Approach for Asymptotic Performance Analysis of a Standby System with Server Failure, International Journal of Computer Applications 98 (3) (2014), 9-14.
  2. Bhardwaj, R.K., and Singh, Ravinder, Steady state behavior of a cold standby system with server failure and arbitrary repair, replacement & treatment, International Journal of Applied Engineering Research, Vol. 9(24)(2014), 26563-26578.
  3. Yearout, R.D., Reddy, Prabhakar, and Grosh, Doris Lloyd, Standby redundancy in reliability: a review, IEEE Transactions on Reliability R 35 (3) (1986), 285-292.
  4. Singh, S. K., and Srinivasu, B. Stochastic analysis of a two unit cold standby system with preparation time for repair, Microelectron Reliability 27(1) (1987), 55-60.
  5. Singh, S. K., and Agrafiotis, G. K., Stochastic Analysis of a Two- Unit Cold Standby System Subject to Maximum Operation and Repair Time, Microelectron Reliab 35(12) (1995), 1489-1493.
  6. Osaki, S., Nakagawa, T., On a two-unit standby Redundant system with standby failure, Operations. Research 19 (1971), 510-523.
  7. Bhardwaj R.K., and Kaur, Komaldeep, Reliability and Profit Analysis of a Redundant System with Possible Renewal of Standby Subject to Inspection, International Journal of Statistics and Reliability Engineering 1(1) (2014), 36-46.
  8. Malik, S. C., Reliability modeling of a computer system with preventive maintenance and priority subject to maximum operation and repair time. Int J Syst Assur Eng Managt. 04 (01) (2013), 94-100.
  9. Feller, W., An introduction to probability theory and its applications, Vol.-I, John Wiley & Sons Inc.,1968
Index Terms

Computer Science
Information Sciences

Keywords

Stochastic system standby failure maintenance regenerative point performance measures.