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A Stochastic System with Possible Maintenance of Standby Unit and Replacement of the Failed Unit Subject to Inspection

by Anju Dhall, S. C. Malik, V. J. Munday
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 97 - Number 8
Year of Publication: 2014
Authors: Anju Dhall, S. C. Malik, V. J. Munday
10.5120/17028-7326

Anju Dhall, S. C. Malik, V. J. Munday . A Stochastic System with Possible Maintenance of Standby Unit and Replacement of the Failed Unit Subject to Inspection. International Journal of Computer Applications. 97, 8 ( July 2014), 26-30. DOI=10.5120/17028-7326

@article{ 10.5120/17028-7326,
author = { Anju Dhall, S. C. Malik, V. J. Munday },
title = { A Stochastic System with Possible Maintenance of Standby Unit and Replacement of the Failed Unit Subject to Inspection },
journal = { International Journal of Computer Applications },
issue_date = { July 2014 },
volume = { 97 },
number = { 8 },
month = { July },
year = { 2014 },
issn = { 0975-8887 },
pages = { 26-30 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume97/number8/17028-7326/ },
doi = { 10.5120/17028-7326 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T22:24:59.254087+05:30
%A Anju Dhall
%A S. C. Malik
%A V. J. Munday
%T A Stochastic System with Possible Maintenance of Standby Unit and Replacement of the Failed Unit Subject to Inspection
%J International Journal of Computer Applications
%@ 0975-8887
%V 97
%N 8
%P 26-30
%D 2014
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper, a stochastic system of two identical units has been investigated by conducting possible maintenance of the cold standby unit before getting it into operation. A single repair facility is provided immediately to rectify the faults which occur during system operation. The inspection of the failed unit is done to see the feasibility of its repair. If repair of the unit is not feasible to the system, it is replaced immediately by new one. The random variables are statistically independent. The time to failure of the unit follows negative exponential distribution while the distributions for maintenance, inspection and repair times are taken as arbitrary with different probability density functions. The maintenance and repair of the unit are perfect. The semi-Markov process and regeneration point technique are used to derive the expressions for some reliability measures of vital significance. The graphical behavior of MTSF, Availability and profit function have been observed for particular values of different parameters and costs.

References
  1. Gupta, Rakesh and Mumtaz, S. Z. , 1996. Stochastic analysis of a two-unit cold stand by system with maximum repair time & correlated failures and repairs. Journal of Quality in Maintenance Engineering, Vol. 2 (3), pp. 66-76.
  2. 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.
  3. Bao, X. , and Cui, L. , 2012. A study on reliability for a two-item cold standby Markov repairable system with neglected failures. Communications in Statistics-Theory and Methods, Vol. 41(21), pp. 3988-3999.
  4. Kumar, J. , Kadyan, M. S. , and Malik, S. C. , 2012. Cost analysis of a two unit cold standby system subject to degradation, inspection and priority. Eksploatacja i Niezawodnosc - Maintenance and Reliability, Vol. 14(4), pp. 278-283.
  5. Malik, S. C. and Barak, Sudesh K. , 2013. Reliability Measures of a Cold Standby System with Preventive Maintenance and Repair. International Journal of Reliability, Quality and Safety Engineering, Vol. 20(6), DOI: 10. 1142/S0218539313500228.
  6. Malik, S. C. , 2013. Reliability Modeling of a Computer System with Preventive Maintenance and Priority Subject to Maximum Operation and Repair Times. International Journal of System Assurance Engineering and Management, Vol. 4(1), pp. 94-100.
  7. Yusuf Ibrahim and Yusuf Bashir, 2014. Analysis of some reliability characteristic between two dissimilar redundant system with replacement at common cause failure. International Journal of Advance Statistic & Probability, Vol. 2 (1), pp. 1-14.
Index Terms

Computer Science
Information Sciences

Keywords

Stochastic System Possible Maintenance Immediate Replacement Inspection Repair and Reliability Measures.

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