1-out-of-N multi-state standby systems with state-dependent random replacement times. (December 2017)

• Record Type: Journal Article
• Authors: Levitin, Gregory; Jia, Heping; Ding, Yi; Song, Yonghua
• Is Part Of: Proceedings of the Institution of Mechanical Engineers. Volume 231:Number 6(2017:Dec.)
• Page Start: 750
• Page End: 760
• Publication Date: 2017-12
• Subjects: Random replacement time -- 1-out-of-N system -- multi-state standby system -- instantaneous availability -- numerical algorithm; Reliability (Engineering) -- Mathematical models -- Periodiclals; Risk assessment -- Mathematical models -- Periodicals; Engineering design -- Mathematical models -- Periodicals; 620.00452
• DOI: 10.1177/1748006X17734951
• Languages: English
• ISSNs: 1748-006X

Abstract

Research on analysis of replacement time in standby systems has focused on systems with binary-state standby components. However, when the standby components are multi-state, the replacement time depends on the state of the standby component when it is activated for replacement. This article considers the impacts of state-dependent random replacement times on 1-out-of- N systems consisting of multi-state standby components. Numerical algorithms for evaluating the multi-state standby system's instantaneous availability, expected availability over system mission time and the expected mission completion time are proposed. A Markov state transition model is used to describe the component behaviour in standby mode. The time-to-failure of the operating component and the replacement time of the standby component can obey arbitrary types of distributions. Illustrative examples are provided to demonstrate the proposed numerical algorithms. The effects of the number of standby components, different replacement time distributions and activation sequences are also discussed.