Measuring Component Importance for Network System Using Cellular Automata

Li He, Qiyan Cao and Fengjun Shang

Complexity, 2019, vol. 2019, 1-11

Abstract:

This paper concentrates on the component importance measure of a network whose arc failure rates are not deterministic and imprecise ones. Conventionally, a computing method of component importance and a measure method of reliability stability are proposed. Three metrics are analyzed first: Birnbaum measurement, component importance, and component risk growth factor. Based on them, the latter can measure the impact of the component importance on the reliability stability of a system. Examples in some typical structures illustrate how to calculate component importance and reliability stability, including uncertain random series, parallel, parallel-series, series-parallel, and bridge systems. The comprehensive numerical experiments demonstrate that both of these methods can efficiently and accurately evaluate the impact of an arc failure on the reliability of a network system.

Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:hin:complx:3971597

DOI: 10.1155/2019/3971597

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