Consecutive-(r,f,k)out-of-n:F和Consecutive(f,g)-out-of-(r,n):F线性系统的可靠性

Consecutive-(r,f,k)-out-of-n:F系统由n个单元顺序连结而成,仅当在连续的r个单元中,至少有f个失效或者至少连续k个失效,整个系统才失效;而Consecutive-(f,g)-out-of-(r,n):F系统由n个单元顺序连结而成,仅当在整个系统中至少有f个失效或者在连续的r个单元中,至少有g个失效,整个系统才失效。本文运用马氏链嵌入方法,在单元之间相互独立以及单元之间马氏相关这两种情况下,给出线性系统的可靠性。

Reliabilities of Linear Consecutive- (r,f,k)-out-of- n: F and Consecutive- (f,g)-out-of-(r, n):F Systems

Consecutive-(r,f,k)-outof-n: F system consists on n components ordered in a line or a circle,while the system fails if,and only if,there exist at least f failed components or at least consecutive k failed components in any consecutive r components.And Consecutive-(f,g)-out-of-(r,n):F system consists of n components ordered in a line or a circle,while the system fails if,and only if,there exist at least f failed components in whloe system or at least g failed components in any consecutive r components.In this paper,The reliability formulas are presented by using Finite Markov Chain Embidding Approach for the cases of independence and Markov-dependence between components,respectively,for both linear systems.