Title :
The number of failed components in a consecutive-k-of-n:F system
Author :
Papastavridis, Stavros
Author_Institution :
Patras Univ., Athens, Greece
fDate :
8/1/1989 12:00:00 AM
Abstract :
For a consecutive-k-out-of-n:F system an exact formula and a recursive relation are presented for the distribution of the number of components, X, that fail at the moment the system fails. X estimates how many cold spares are needed to replace all failed components upon system failure. The exact formula expresses the dependence of the distribution of X upon parameters k , n. The recursive formula is suitable for efficient numerical computation of the distribution of X
Keywords :
failure analysis; recursive functions; reliability theory; cold spares; consecutive-k-of-n:F system; number of failed components; recursive relation; reliability; system failure; Combinatorial mathematics; Computer networks; Distributed computing; Distribution functions; Petroleum; Pipelines; Reliability theory; Space vehicles; Telecommunication computing; Vacuum systems;
Journal_Title :
Reliability, IEEE Transactions on
