Measuring Component Importance for Network System Using Cellular Automata

Abstract EN

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.