International Journal of Reliability and Applications
- Volume 11 Issue 1
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- Pages.41-53
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- 2010
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- 1598-0073(pISSN)
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- 2283-8914(eISSN)
Availability Analysis of a System Having Three Units : Super Priority, Priority and Ordinary Under Pre-empty Resume Repair Policy
- Singh, V.V. (Department of Mathematics, AIMT) ;
- Singh, S.B. (Department of Mathematics, Statistics and Computer Science G. B. Pant University of Agriculture and Technology) ;
- Ram, M. (Department of Mathematics, Graphic Era University) ;
- Goel, C.K. (Department of Mathematics, Amity University)
- Published : 2010.06.30
Abstract
In the present paper we develop a mathematical model that facilitates the calculation of reliability of a complex repairable system having three units namely super priority, priority and ordinary. The system is analyzed with the application of Gumbel Hougaard copula when different types of repair possible at a particular state due to deliberate failure. Various reliability measures such as reliability, MTTF and profit function have been evaluated by using supplementary variable and Laplace transform techniques.
Keywords
- Complex System;
- Reliability;
- Pre-emptive resume repair;
- Deliberate failure;
- MTTF;
- Availability;
- Cost Analysis;
- Gumbel-Hougaard Family Copula