Title :
Reliability Analysis on the δ-Shock Model of Complex Systems
Author :
Li, Zehui ; Zhao, Peng
Author_Institution :
Sch. of Math. & Stat., Lanzhou Univ.
fDate :
6/1/2007 12:00:00 AM
Abstract :
We investigate the delta-shock model of complex systems consisting of n i.i.d. components. We first obtain a general lifetime distribution for the delta-shock model of a general complex system by reducing the system to a linear combination of parallel systems. We then consider coherent system structures including series, parallel, and k-out-of-n, then derive some useful results including reliability bounds, bounds on the mean lifetime, limiting distributions, and Laplace-Stieltes transforms
Keywords :
Laplace transforms; large-scale systems; reliability theory; statistical distributions; Laplace-Stieltes transform; coherent system structure; delta-shock model; general complex system; k-out-of-n system; lifetime distribution; parallel system; reliability analysis; series system; Density functional theory; Distribution functions; Educational programs; Electric shock; Helium; Mathematics; Statistics; $k$-out-of-$n$ system; $delta$ -shock model; General complex system; new better than used; new worse than used; parallel system; series system;
Journal_Title :
Reliability, IEEE Transactions on
DOI :
10.1109/TR.2007.895306
