Abstract

In this paper, we consider stochastic comparisons of parallel systems with location-scale distributed components equipped with starting devices. We specifically establish the hazard rate order of parallel systems with two location-scale distributed components equipped with starting devices when the starting devices have different probabilities but with the same location-scale distributed component. Next, we present the usual stochastic order of parallel systems with n location-scale distributed components equipped with starting devices. We also provide some numerical examples to illustrate all the comparison results established here.

中文翻译：

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并联系统与启动装置的随机比较

摘要

在本文中，我们考虑了具有配备启动设备的位置规模分布式组件的并行系统的随机比较。当启动设备具有不同的概率但具有相同的位置尺度分布式组件时，我们专门建立了具有两个配备启动设备的位置尺度分布式组件的并行系统的危险率顺序。接下来，我们介绍了具有n 个位置尺度分布式组件并配备启动设备的并行系统的通常随机顺序。我们还提供了一些数值示例来说明此处建立的所有比较结果。