Title: Reliability analysis of three state linear consecutive 2-out-of-4:F system by continuous time Markov model

Authors: J. Madhumitha; G. Vijayalakshmi

Addresses: Department of Mathematics and Statistics, Faculty of Science and Humanities, SRM Institute of Science and Technology, Kattankulathur, Tamil Nadu, India ' Department of Mathematics, Faculty of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur, Tamil Nadu, India

Abstract: In this paper, the continuous time Markov model for the L (cons/2-4:F) system is described. Each component of the system has three states (good state, degraded state and failed state). The failure and repair times follow an exponential distribution. The dependability measures such as availability and reliability are obtained. The effects of failure and repair rates on system availability and system reliability are presented. The mathematical consequences of the reliability measures will be of incredible assistance to the system engineers and decision-makers in improving and designing the system in future. The proposed system can be used in nuclear power plants and telecommunication systems.

Keywords: linear consecutive 2-out-of-4:F system; continuous time Markov model; multi-state system; reliability; availability.

DOI: 10.1504/IJRS.2024.140616

International Journal of Reliability and Safety, 2024 Vol.18 No.3, pp.252 - 265

Received: 27 Apr 2023
Accepted: 31 Jan 2024
Published online: 28 Aug 2024 *

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