TY - JOUR
T1 - Allocating redundancies to k-out-of-n systems with independent and heterogeneous components
AU - Zhuang, Jinsen
AU - Li, Xiaohu
N1 - Publisher Copyright:
Copyright © Taylor & Francis Group, LLC.
PY - 2015/12/17
Y1 - 2015/12/17
N2 - This paper studies the allocation of independent redundancies with a common life distribution to k-out-of-n systems of independent components with non identical life distributions. A sufficient condition is found for allocating more active redundancies to the weaker component to gain a larger lifetime for k-out-of-n systems, and assigning more standby redundancies to the weaker (stronger) components is proved to yield larger lifetime for series (parallel) systems in the sense of the increasing concave (convex) order. Also, the optimal policy is proved to be majorized by all other policies when the systems components are stochastically ordered.
AB - This paper studies the allocation of independent redundancies with a common life distribution to k-out-of-n systems of independent components with non identical life distributions. A sufficient condition is found for allocating more active redundancies to the weaker component to gain a larger lifetime for k-out-of-n systems, and assigning more standby redundancies to the weaker (stronger) components is proved to yield larger lifetime for series (parallel) systems in the sense of the increasing concave (convex) order. Also, the optimal policy is proved to be majorized by all other policies when the systems components are stochastically ordered.
KW - Active redundancy
KW - Majorization
KW - Standby redundancy
KW - Stochastic order
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U2 - 10.1080/03610926.2013.813046
DO - 10.1080/03610926.2013.813046
M3 - Article
AN - SCOPUS:84949604892
SN - 0361-0926
VL - 44
SP - 5109
EP - 5119
JO - Communications in Statistics - Theory and Methods
JF - Communications in Statistics - Theory and Methods
IS - 24
ER -