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ISSN: 1549-3644 (Print)
ISSN: 1558-6359 (Online)
Research Article Open Access

Stochastic Analysis of a Compound Redundant System Involving Human Failure

Ritu Gupta, S. K. Mittal and C. M. Batra

Abstract

This study deals with a compound standby redundant system consisting of three sub-systems A, B, and C connected in series. The sub-system B consists of one main unit and the other is its standby redundant unit. These units further consist of two sub-units connected in series. The sub - units of main unit are connected to sub-units of standby unit through imperfect switching over device. Failure of all sub-systems and repair rate of switching over devices are exponential while repairs of all sub-systems are distributed quite generally. The various reliability parameters have been computed and analyzed by tabular and graphical illustrations.

Journal of Mathematics and Statistics
Volume 2 No. 3, 2006, 407-413

DOI: https://doi.org/10.3844/jmssp.2006.407.413

Submitted On: 29 June 2006 Published On: 30 September 2006

How to Cite: Gupta, R., Mittal, S. K. & Batra, C. M. (2006). Stochastic Analysis of a Compound Redundant System Involving Human Failure. Journal of Mathematics and Statistics, 2(3), 407-413. https://doi.org/10.3844/jmssp.2006.407.413

Open AccessCopyright: © 2006 Ritu Gupta, S. K. Mittal and C. M. Batra. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

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Keywords

  • M.T.T.F.
  • availability
  • reliability
  • profit function
  • standby redundancy