International Journal of Applied Science and Engineering
Published by Chaoyang University of Technology

Deepak Kumar* and S. B. Singh

Department of Mathematics, Statistics and Computer Science, G. B. Pant University of Agriculture and Technology, Pantnagar


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Present paper discusses the reliability analysis of a complex system which consists of two repairable subsystems namely A and B connected in series. Subsystem A is a k-out of -n: G system and subsystem B is a circular consecutive 2-out of -3: F system. In this study an inspection shop has been taken into consideration along with a special type of delay viz. reboot delay. By employing supplementary variable technique, Laplace transformation and Gumbel-Hougaard family of copula various transition state probabilities, reliability, availability, M.T.T.F., cost analysis, sensitivity analysis and steady state behaviour of the system have been obtained. At the end some special cases of the system have been taken and important results have been derived as particular cases.

Keywords: Reliability; availability; mean time to failure; sensitivity; reboot delay; complex system; gumbel-hougaard family of copula

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Received: 2013-04-08
Revised: 2013-08-13
Accepted: 2013-08-27
Available Online: 2013-12-01

Cite this article:

Kumar, D., Singh, S.B. 2013. Reliability analysis of embedded system with different modes of failure emphasizing reboot delay. International Journal of Applied Science and Engineering, 11, 449–470.