Title :
Reliability Properties of
Systems
Author :
Triantafyllou, Ioannis S. ; Koutras, Markos V.
Author_Institution :
Dept. of Stat. & Insurance Sci., Univ. of Piraeus, Piraeus, Greece
Abstract :
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 ≥ 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.
Keywords :
reliability theory; vectors; reliability function; signature vector; stochastic comparisons; systems reliability properties; Equations; Markov processes; Mathematical model; Probability; Reliability; Vectors; $(n, f, k)$ system; Samaniego\´s signature; mean conditional lifetimes; stochastic order;
Journal_Title :
Reliability, IEEE Transactions on
DOI :
10.1109/TR.2014.2299495