TY - JOUR
T1 - Stochastic comparison on load-sharing systems with one statistically dependent redundancy
AU - Li, Chen
AU - Fang, Rui
AU - Li, Xiaohu
N1 - Publisher Copyright:
© 2021 John Wiley & Sons, Ltd.
PY - 2021/11/1
Y1 - 2021/11/1
N2 - In this article, we study a load-sharing redundancy system in the presence of statistical dependence between base and redundancy component lifetimes when they are under partial workload. We derive the system reliability function in terms of reliability functions and the copula function of the base and redundancy component lifetimes. Further, in the setting of some aging properties, the base component and absolute continuous copula, we develop the hazard rate order, the reversed hazard rate order, and the likelihood ratio order between the system lifetime and the base component lifetimes. Two typical scenarios with independence between the base and redundancy component lifetimes are discussed in particular. Several numerical examples are presented to illustrate the theoretical findings as well.
AB - In this article, we study a load-sharing redundancy system in the presence of statistical dependence between base and redundancy component lifetimes when they are under partial workload. We derive the system reliability function in terms of reliability functions and the copula function of the base and redundancy component lifetimes. Further, in the setting of some aging properties, the base component and absolute continuous copula, we develop the hazard rate order, the reversed hazard rate order, and the likelihood ratio order between the system lifetime and the base component lifetimes. Two typical scenarios with independence between the base and redundancy component lifetimes are discussed in particular. Several numerical examples are presented to illustrate the theoretical findings as well.
KW - DRHR
KW - IHR
KW - copula
KW - hazard rate order
KW - likelihood ratio order
KW - proportional hazards
KW - reversed hazard rate order
UR - http://www.scopus.com/inward/record.url?scp=85110939526&partnerID=8YFLogxK
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U2 - 10.1002/asmb.2640
DO - 10.1002/asmb.2640
M3 - Article
AN - SCOPUS:85110939526
SN - 1524-1904
VL - 37
SP - 1143
EP - 1156
JO - Applied Stochastic Models in Business and Industry
JF - Applied Stochastic Models in Business and Industry
IS - 6
ER -