The present study deals with the analysis of a linear consecutive k-out-N system with the common cause shock failure. The system consists of n units arranged in a linear way out which when k consecutive units fail, the system will fail, otherwise system works properly. Also it is assumed, the life time and the repair time of the units are distributed exponentially. The system may be fail due to the failure of individual units or due to the common cause shock failure. Common cause failure is a phenomena in which all components of the working system are failed with a common reasons such as fire, power outage etc.. In this system, the transition probabilities of transient as well as steady states are determined which are used to reliability indices with such as availability and mean time to failure on the basis of Markov model. A numerical illustration is also carried out to validate the model.
Linear consecutive k-out-of-N system, Availability, Common cause shock failure, Mean time to failure.
Preeti, Analysis of a Linear Consecutive k-out-of-N System with Common Cause Shock Failure, HCTL Open International Journal of Technology Innovations and Research (IJTIR), Volume 16, July 2015, e-ISSN: 2321-1814, ISBN: 978-1-943730-43-8.