Reliability Properties of $(n,f,k)$ Systems

摘要

In the present article we study several reliability properties of $(n, f, k)$ systems. More specifically, for the special case $k = 2$, we deduce the generating function of a system's reliability, and discuss techniques for evaluating its signature vector and reliability function. In addition, for the general case $(k geq 2)$, we establish some stochastic comparisons between reliability structures' lifetimes using their signatures, and present several results and applications pertaining to the lifetimes of $(n, f, k)$ systems.