TITLE:
The Mean Residual Lifetime of (n － k + 1)-out-of-n Systems in Discrete Setting
AUTHORS:
Maryam Torabi Siahboomi
KEYWORDS:
(n ? k + 1)-out-of-n Systems; Discrete Lifetime; Failure Rate; Reliability
JOURNAL NAME:
Applied Mathematics,
Vol.5 No.3,
February
12,
2014
ABSTRACT: In real life, there are
situations in which the lifetime of the components of a technical system (and hence
the lifetime of the system) is discrete. In this paper, we study the residual life, a (n － k + 1)-out-of-n system under the assumptions
that the components of the system are independent identically distributed with
common discrete distribution function F. We define the
mean residual lifetime (MRL) of the system and under different scenarios
investigate several aging and stochastic properties of MRL.