This paper compares the reliability functions of the cold standby, hot standby, and load-sharing redundancy configurations, each of which is composed of two identical components for meeting a given system requirement. Thus far, no research has been done into the conditions that make one configuration more reliable than another because their reliability functions have no closed forms even when the component follows a Weibull lifetime distribution. In this paper, two analytical results are obtained given that the reliability of each configuration is expressed in terms of the design and operational loads of the component. First, higher reliability can be achieved in a cold standby configuration than in a load-sharing configuration if the increase in the component reliability obtained from the reduction in the operational load is not significant. Second, a cold standby configuration exhibits better reliability and carries a higher load than a hot standby configuration if the design load can be increased with a less decrease in the component reliability.

中文翻译：

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负载要求下两种单元冗余系统的可靠性比较

本文比较了冷备用、热备用和负载共享冗余配置的可靠性功能，每种配置都由两个相同的组件组成，以满足给定的系统要求。迄今为止，尚未对使一种配置比另一种配置更可靠的条件进行研究，因为即使组件遵循 Weibull 寿命分布，它们的可靠性函数也没有封闭形式。在本文中，考虑到每个配置的可靠性以组件的设计和运行负载来表示，因此获得了两个分析结果。首先，如果从运行负载的减少中获得的组件可靠性的增加并不显着，则在冷备用配置中可以实现比在负载共享配置中更高的可靠性。