Approximate analysis of n-unit cold-standby systems
DSpace at IIT Bombay
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Title |
Approximate analysis of n-unit cold-standby systems
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Creator |
GOPALAN, MN
KUMAR, UD |
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Subject |
reliability
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Description |
In this paper, a n-unit cold-standby system with a single repair facility is analysed using two approximate methods namely, cutting and clustering the state space. It has been assumed that the failure rate is constant and the repair time is arbitrarily distributed. A mathematical model is developed using semi-regenerative phenomena and systems of convolution integral equations satisfied by various state probabilities corresponding to different initial conditions are obtained. Explicit expressions for the expected number of failures and expected number of repair completions in an interval CO, tl are obtained. An iterative numerical method is used to solve the systems of integral equations obtained and a comparative study has been carried out between exact and approximate solutions.
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Publisher |
PERGAMON-ELSEVIER SCIENCE LTD
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Date |
2011-08-23T14:49:41Z
2011-12-26T12:56:29Z 2011-12-27T05:45:17Z 2011-08-23T14:49:41Z 2011-12-26T12:56:29Z 2011-12-27T05:45:17Z 1996 |
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Type |
Article
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Identifier |
MICROELECTRONICS AND RELIABILITY, 36(4), 505-509
0026-2714 http://dx.doi.org/10.1016/0026-2714(95)00139-5 http://dspace.library.iitb.ac.in/xmlui/handle/10054/10551 http://hdl.handle.net/10054/10551 |
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Language |
en
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