2020 Volume 71 Issue 2E Pages 92-98
The expected number of failed components in a failed or working system might be useful for understanding the behavior of the system. This paper studies the distributions and expected values of the number of failed components for coherent systems. We first study the number of failed components in a failed system. Furthermore, we obtain the expected number of failed components when the system undergoes maintenance at a particular time. These results might be useful for understanding the behavior of the system and give an idea as to how many spare components should be available in order to replace failed components. We also present illustrative results of the expected number of failed components for well-known general coherent systems such as a bridge structure system and a consecutive-k-out-of-n:F system, and analyze the relationship among these values.
