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Profit Analysis of a Two-Unit Cold Standby System with Delayed Repair of Partially Failed Unit and Better Utilization of Units

by Praween Kumar, Anu Sirohi
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 117 - Number 1
Year of Publication: 2015
Authors: Praween Kumar, Anu Sirohi
10.5120/20522-2633

Praween Kumar, Anu Sirohi . Profit Analysis of a Two-Unit Cold Standby System with Delayed Repair of Partially Failed Unit and Better Utilization of Units. International Journal of Computer Applications. 117, 1 ( May 2015), 41-46. DOI=10.5120/20522-2633

@article{ 10.5120/20522-2633,
author = { Praween Kumar, Anu Sirohi },
title = { Profit Analysis of a Two-Unit Cold Standby System with Delayed Repair of Partially Failed Unit and Better Utilization of Units },
journal = { International Journal of Computer Applications },
issue_date = { May 2015 },
volume = { 117 },
number = { 1 },
month = { May },
year = { 2015 },
issn = { 0975-8887 },
pages = { 41-46 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume117/number1/20522-2633/ },
doi = { 10.5120/20522-2633 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T22:58:12.275896+05:30
%A Praween Kumar
%A Anu Sirohi
%T Profit Analysis of a Two-Unit Cold Standby System with Delayed Repair of Partially Failed Unit and Better Utilization of Units
%J International Journal of Computer Applications
%@ 0975-8887
%V 117
%N 1
%P 41-46
%D 2015
%I Foundation of Computer Science (FCS), NY, USA
Abstract

The paper presents the profit analysis of a two unit cold standby system with delayed repair of partially failed unit and better utilization of units. It is assumed that the system stops functioning only when both the units fail. The failure time distributions and delayed time distribution of each unit are assumed to be negative exponential with different parameters whereas the repair time distributions are taken to general. Formulas for various reliability indices of the system including availability, busy period analysis of the repairman, and profit function analysis by using the regenerative point technique are derived.

References
  1. Singh, S. K. , Rakesh Gupta. , and Goel, L. R. , (1985), "Cost analysis of a two-unit cold standby system with two types of operation and repair". Microelectron, Reliability, 25(1), 71-75.
  2. Gupta, S. M. , Jaiswal, N. K. , and Goel, L. R. , (1983), "Stochastic behavior of a two-unit cold standby system with three modes and allowed down time". Microelectron, Reliability, 23(2), 333-336.
  3. Gupta, R. , and Bansal, S. , (1990),"Cost benefit analysis of two-unit cold standby system with the provision of rest to a unit". International journal of system science, 21, 1451-1462.
  4. Goel, L. R. , Tyagi, P. K. , and Gupta, R. , (1994),"Analysis of a standby system with dependent repair time and slow switching device" Microelectron, Reliability, 34(2), 383-386.
  5. Singh, S. K. , Rakesh Gupta. , and Goel, L. R. , (1983), "Analysis of a two-unit cold standby system with three modes". Microelectron, Reliability, 23, 1041-1044.
  6. Goel, L. R. , and Gupta, P. , (1984),"Switch failure in a two-unit standby system with better utilization of units". Microelectron, Reliability, 24, 439-443.
  7. Goel, L. R. , Gupta, R. , and Singh, S. K. , (1985),"Profit analysis of a cold standby with two repair distributions". Microelectron, Reliability, 25, 467-472.
  8. Goel, L. R. , and Srivastava, P. , (1991),"Profit analysis of two unit redundant system with provision of rest and correlated failures and repairs". Microelectron, Reliability, 31, 827-833.
  9. Kumar, Praween and Sharma, S. K. (2006). A two non-identical unit parallel system with inspection and correlated lifetimes. Journal of Rajasthan Academy of Physical Sciences, 5 (3), 301-318.
  10. Kumar, Praween and Gupta, R (2007). Reliability analysis of a single unit M|G|1 system model with helping unit. Journal of Combinatorics, Information & System Sciences, J. of Comb. Info. & System Sciences, Vol. 32, No. 1-4, pp. 209-219.
  11. Kumar J. , Kadyan M. S. , Malik S. C. , (2012), Cost Analysis of a Two-Unit Cold Standby System Subject to Degradation, Inspection and Priority, Eksploatacja Niezawodnosc – Maintenance and Reliability. 14(4), 278-283.
  12. Kumar, Praween and Sirohi, A. , (2014) Stochastic Analysis of a Two Priority Unit Standby System with Imperfect Switch and Correlated Failure and Repair Times. Int. journal of Adv Research in com sc and software engineering, 4 (8), 621-628.
Index Terms

Computer Science
Information Sciences

Keywords

Redundancy Standby system Stochastic Failure and Repair times Correlation.

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