Journal of Mathematics and Statistics

Stochastic Analysis of a Compound Redundant System Involving Human Failure

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

DOI : 10.3844/jmssp.2006.407.413

Journal of Mathematics and Statistics

Volume 2, Issue 3

Pages 407-413


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


© 2006 Ritu Gupta, S. K.A 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.