A New Iterative Approach to Evaluate the Reliability of a Combined Consecutive k and vOutOfn System
Volume 14, Number 12, December 2018, pp. 29832993 DOI: 10.23940/ijpe.18.12.p8.29832993
Kaiye Gao^{a,b}, Xuejuan Liu^{b}, Huiying Wang^{c}, Xiaoyang Ma^{d}, and Rui Peng^{e}^{}
^{a}School of Economics and Management, Beijing Information Science and Technology University, Beijing, 100192, China ^{b}Donlinks School of Economics and Management, University of Science and Technology Beijing, Beijing, 100083, China ^{c}School of Public Administration, University of International Business and Economics, Beijing, 100029, China ^{d}School of Information Management, Beijing Information Science and Technology University, Beijing, 100192, China ^{e}School of Economics and Management, Beijing University of Technology, Beijing, 100124, China
(Submitted on September 23, 2018; Revised on October 16, 2018; Accepted on November 15, 2018)
Abstract:
Consecutive koutofn: F systems have applications in the fields of telecommunications and oil pumping. A consecutive koutofn: F system fails if at least consecutive k components fail. However, practical systems may fail due to either the failure of a number of consecutive components or the failure of a total number of components. In this paper, we consider a system with linearly arranged components, where the system fails if at least a prespecified number of consecutive components fail or a prespecified total number of components fail. The system is termed as a combined consecutive k and voutofn system. The iterative relationship between the failure probability of a consecutive koutofn: F system has been proposed. This paper focuses on the iterative relationship between the success probabilities and proposes the detailed calculation process for illustrative purposes.
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