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Citation - WoS: 5
Component Importance in Coherent Systems With Exchangeable Components
(Cambridge Univ Press, 2015) Eryilmaz, Serkan
This paper is concerned with the Birnbaum importance measure of a component in a binary coherent system. A representation for the Birnbaum importance of a component is obtained when the system consists of exchangeable dependent components. The results are closely related to the concept of the signature of a coherent system. Some examples are presented to illustrate the results.
Citation - WoS: 15
Citation - Scopus: 16
Residual Lifetime of Consecutive k-out-of-n< Systems Under Double Monitoring
(Ieee-inst Electrical Electronics Engineers inc, 2012) Eryilmaz, Serkan; Bayramoglu, Konul
The consecutive k-out-of-n systems are important structures in reliability engineering due to their applications in various real life situations. In this paper, we study the residual lifetime of these systems under the condition that the total number of failed components at time is, and at time t(2) (t(2) > t(1)) the system is still working. We obtain explicit expressions for the survival function of the corresponding residual life when the components are exchangeably dependent. We also obtain a signature-based mixture representation for a coherent system satisfying a certain property.