In this paper, we focus on a particular type of coherent system which may fail either on the failure of its first component or on the failure of its second component. We investigate the renewal of such a coherent system using two cold standby components. We obtain the reliability function of the considered coherent system which is equipped with two cold standby components. We study the problem to optimize the reliability of the system. Some stochastic ordering results are also presented. Examples are provided to illustrate the theoretical results presented in this study. Our results subsume some of the earlier results in the literature.

中文翻译：

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配备两个冷备用组件的相干系统的可靠性

在本文中，我们关注一种特定类型的相干系统，该系统可能因第一个组件的故障或第二个组件的故障而失败。我们研究了使用两个冷备用组件更新这种连贯系统。我们获得了所考虑的相干系统的可靠性函数，该系统配备了两个冷备用组件。我们研究该问题以优化系统的可靠性。还提供了一些随机排序结果。提供了一些例子来说明本研究中提出的理论结果。我们的结果包含了文献中的一些早期结果。