Let ti denote the time of failure of the ith component; let (t) denote the time to

Let ti denote the time of failure of the ith component; let τφ(t) denote the time to failure of the system φ as a function of the vector t = (t1, . . . , tn). Show that

where C1, . . . , Ck are the minimal cut sets, and A1, . . . , As the minimal path sets.

Transcribed Image Text:

= max min tito (t) = min max ti