Open AccessStochastic comparisons of parallel systems with scale proportional hazards components equipped with starting devices
Author(s) -
Longxiang Fang,
N. Balakrishnan,
Wenyu Huang
Publication year - 2022
Publication title -
journal of industrial and management optimization
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.325
H-Index - 32
eISSN - 1553-166X
pISSN - 1547-5816
DOI - 10.3934/jimo.2021004
Subject(s) - scale (ratio) , hazard , computer science , stochastic ordering , proportional hazards model , mathematics , statistics , physics , chemistry , organic chemistry , quantum mechanics
In this paper, we discuss stochastic comparisons of parallel systems with scale proportional hazards components equipped with starting devices. To begin with, we present the hazard rate order of parallel systems with two scale proportional hazards components equipped with starting devices for two different cases: first when the starting devices with different probability have the same scale proportional hazards components, and the second when the different scale proportional hazards components have the same starting devices probability. Next, we present the usual stochastic order of parallel systems with \begin{document}$ n $\end{document} scale proportional hazards components equipped with starting devices. Finally, we provide some numerical examples to illustrate all the results established here.