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Profit Analysis of a System of Non-identical Units with Degradation and Replacement

by Jitender Kumar, M. S. Kadyan
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 40 - Number 3
Year of Publication: 2012
Authors: Jitender Kumar, M. S. Kadyan
10.5120/5024-7169

Jitender Kumar, M. S. Kadyan . Profit Analysis of a System of Non-identical Units with Degradation and Replacement. International Journal of Computer Applications. 40, 3 ( February 2012), 19-25. DOI=10.5120/5024-7169

@article{ 10.5120/5024-7169,
author = { Jitender Kumar, M. S. Kadyan },
title = { Profit Analysis of a System of Non-identical Units with Degradation and Replacement },
journal = { International Journal of Computer Applications },
issue_date = { February 2012 },
volume = { 40 },
number = { 3 },
month = { February },
year = { 2012 },
issn = { 0975-8887 },
pages = { 19-25 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume40/number3/5024-7169/ },
doi = { 10.5120/5024-7169 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:27:06.751314+05:30
%A Jitender Kumar
%A M. S. Kadyan
%T Profit Analysis of a System of Non-identical Units with Degradation and Replacement
%J International Journal of Computer Applications
%@ 0975-8887
%V 40
%N 3
%P 19-25
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

This paper presents the profit analysis of a system of two non-identical units in which one unit is original which is initially operative and the other is duplicate kept in cold standby. The units may fail completely directly from normal mode. There is a single server who visits the system immediately when required. The original unit undergoes for repair upon failure while only replacement of the duplicate unit is made by similar new one. The original unit does not work as new after repair and so called degraded unit. The system is considered in up-state if any one of new/duplicate/degraded unit is operative. The server inspects the degraded unit at its failure to see the feasibility of repair. The failure time of the units are exponentially distributed whereas the distributions of inspection time, replacement time of the duplicate unit and repair time of the original/duplicate/degraded unit are taken as arbitrary with different probability density functions. Some reliability characteristics of the system model are evaluated using semi-Markov process and regenerative point technique. The numerical results for a particular case are also obtained to depict the behavior of Mean Time to System Failure (MTSF), availability and profit function graphically.

References
  1. Gopalan, M. N. and Naidu, R. S. 1982. Cost- benefit analysis of a one-server two-unit cold standby system subject to inspection. Microelectron. Reliab. 22(4), 699-705.
  2. Mokaddis, G. S., Labib, S. W. and Ahmed, A.M. 1997. Analysis of a two-unit warm standby system subject to degradation, Microelectron. Reliab, 37(4), 641-647.
  3. Malik, S. C., Chand, P. and Singh, J. 2008. Stochastic analysis of an operating system with two types of inspection subject to degradation. Journal of Applied Probability and Statistics (USA). 3(2), 227-241.
  4. Singh, S. K. and Mishra, A. K. 1994. Profit evaluation of a two-unit cold standby redundant system with two operative modes. Microelectron. Reliab. 34(4), 747-750.
  5. Chung, W. K. 1987. Reliability analysis of a repairable parallel system with standby involving human error and common cause failures. Microelectron. Reliab. 27(2), 269-271.
  6. Kumar, J. 2011. Cost-Benefit Analysis of a Redundant System with Inspection and priority subject to degradation. International Journal of Computer Science Issues. 8(6), 314-321.
  7. Kumar, J., Kadyan M. S. and Malik, S. C. 2010. Cost-Benefit Analysis of a two-unit parallel system subject to degradation after repair. Applied Mathematical Sciences. 4(5), 2749-2758.
  8. Malik, S.C., Bhardwaj, R.K. and Grewal, A.S. 2010. Probabilistic analysis of a system of two non-identical parallel units with priority to repair subject to inspection Journal of Reliability and Statistical Studies, 3(1), 1-11
  9. Khaled, M. El-Said. and Mohamed, S. El-Sherbeny. 2010.Stochastic analysis of a two-unit cold standby system with two-stage repair and waiting time, Sankhya:The Indian Journal of Statistics,72-B (1) , 1-10.
  10. Cox, D. R. 1962 Renewal theory, Chapman & Hall.
  11. Medhi, J. 1982 Stochastic Processes, Wiley Eastern Limited, India.
Index Terms

Computer Science
Information Sciences

Keywords

System of Non-Identical Units Inspection Degradation Replacement and Profit Analysis

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