TY - JOUR
T1 - On redundant weighted voting systems with components having stochastic arrangement increasing lifetimes
AU - You, Yinping
AU - Fan, Li
AU - Li, Xiaohu
N1 - Publisher Copyright:
© 2021 Elsevier B.V.
PY - 2021/9
Y1 - 2021/9
N2 - As one generalization of the k-out-of-n structure, the weighted voting system has been paid much attention during the past two decades. This paper has a further study on active redundancies allocation to weighted voting reliability systems of components having LWSAI lifetimes. For redundancies with SAI lifetimes, allocating a more reliable redundancy to a weaker and more heavily weighted component is found to produce a more reliable system in the sense of having higher reliability. Also, in the context of redundancies with identically distributed lifetimes, we show that allocating more redundancies to a weaker and more heavily weighted component produces a more reliable system. Some numerical examples are presented to illustrate the main results as well.
AB - As one generalization of the k-out-of-n structure, the weighted voting system has been paid much attention during the past two decades. This paper has a further study on active redundancies allocation to weighted voting reliability systems of components having LWSAI lifetimes. For redundancies with SAI lifetimes, allocating a more reliable redundancy to a weaker and more heavily weighted component is found to produce a more reliable system in the sense of having higher reliability. Also, in the context of redundancies with identically distributed lifetimes, we show that allocating more redundancies to a weaker and more heavily weighted component produces a more reliable system. Some numerical examples are presented to illustrate the main results as well.
KW - Active redundancy
KW - Archimedean copula
KW - Stochastic arrangement increasing
KW - Usual stochastic order
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U2 - 10.1016/j.orl.2021.08.008
DO - 10.1016/j.orl.2021.08.008
M3 - Article
AN - SCOPUS:85113906394
SN - 0167-6377
VL - 49
SP - 777
EP - 784
JO - Operations Research Letters
JF - Operations Research Letters
IS - 5
ER -