Akademik Veri Yönetim Sistemi
1.International Applied Statistics Conference (UYIK 2020), Tokat, Türkiye, 1 - 04 Ekim 2020, ss.1
This paper provides reliability bounds of circular consecutive-𝑘-out-of-𝑛 systems with equal
component probabilities. This system consists of 𝑛 circularly ordered components {1, 2, … , 𝑛}. The
system is failed if at least 𝑘 consecutive components fail and sometimes it is hard to determine exact
reliability for such coherent system. So, several methods have been developed to determine the useful
bounds of reliability for last years. Thus, we investigate the reliability bounds of the circular
consecutive-𝑘-out-of-𝑛 systems and also, unlike these examinations, some of the boundary approaches
applied for the linear failure systems are adapted to circular failure systems. In order to compare the
applied approaches, the results obtained for some 𝑛 and 𝑘 values are given in the tables.