TY - JOUR
T1 - On allocating one active redundancy to coherent systems with dependent and heterogeneous components' lifetimes
AU - Fang, Rui
AU - Li, Xiaohu
N1 - Publisher Copyright:
© 2016 Wiley Periodicals, Inc.
PY - 2016/6/1
Y1 - 2016/6/1
N2 - This article studies coherent systems of heterogenous and statistically dependent components' lifetimes. We present a sufficient and necessary condition for a stochastically longer system lifetime resulted by allocating a single active redundancy. For exchangeable components' lifetimes, allocating the redundancy to the component with more minimal path sets is proved to produce a more reliable system, and for systems with stochastic arrangement increasing components' lifetimes and symmetric structure with respect to two components, allocating the redundancy to the weaker one brings forth a larger reliability. Several numerical examples are presented to illustrate the theoretical results as well.
AB - This article studies coherent systems of heterogenous and statistically dependent components' lifetimes. We present a sufficient and necessary condition for a stochastically longer system lifetime resulted by allocating a single active redundancy. For exchangeable components' lifetimes, allocating the redundancy to the component with more minimal path sets is proved to produce a more reliable system, and for systems with stochastic arrangement increasing components' lifetimes and symmetric structure with respect to two components, allocating the redundancy to the weaker one brings forth a larger reliability. Several numerical examples are presented to illustrate the theoretical results as well.
KW - copula
KW - exchangeable
KW - minimal path
KW - series-parallel system
KW - stochastic arrangement increasing
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U2 - 10.1002/nav.21692
DO - 10.1002/nav.21692
M3 - Article
AN - SCOPUS:84980012091
SN - 0894-069X
VL - 63
SP - 335
EP - 345
JO - Naval Research Logistics
JF - Naval Research Logistics
IS - 4
ER -