Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1149291 | Journal of Statistical Planning and Inference | 2011 | 13 Pages |
Abstract
In recent years, the study of reliability properties of consecutive k-out-of-n systems has attracted a great deal of attention from both theoretical and practical perspectives. In this paper we consider linear and circular consecutive k-out-of-n systems. It is assumed that lifetimes of components of the systems are independent but their probability distributions are non-identical. We study the reliability properties of the residual lifetimes of such systems under the condition that at least (n−r +1), r≤nr≤n, components of the system are operating. We also investigate the probability that a specific number of components of the above-mentioned system operate at time t , t>0t>0, under the condition that the system is alive at time t.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
E.T. Salehi, M. Asadi, S. Eryılmaz,