On fail‐safe systems under random shocks

Zhang Yiying; Amini‐Seresht Ebrahim; Zhao Peng

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On fail‐safe systems under random shocks

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Abstract In practical situations, systems often suffer shocks from external stressing environments, stressing the system at random. These random shocks may have non‐ignorable effects on the system's reliability. In this paper, we provide sufficient (and necessary) conditions on components' lifetimes and their surviving probabilities from random shocks for comparing the lifetimes of two fail‐safe systems by means of the usual stochastic, hazard rate, and likelihood ratio orderings. Numerical examples are presented to highlight these theoretical results as well.

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《Applied stochastic models in business and industry》 |2019年第3期|591-602|共12页
作者
Zhang Yiying; Amini‐Seresht Ebrahim; Zhao Peng;
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作者单位

Department of Statistics and Actuarial ScienceThe University of Hong KongPokfulam,Hong Kong;

Department of StatisticsBu‐Ali Sina UniversityHamadan,Iran;

School of Mathematics and StatisticsJiangsu Normal UniversityXuzhou,China;

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原文格式 PDF
正文语种英语
中图分类应用数学;
关键词
fail‐safe system; majorization; random shocks; second‐price reverse auction; stochastic orders;

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On fail‐safe systems under random shocks

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