Consider a system consisting of N components, all working independent of each other, and life spans of each component ex
Posted: Thu Jul 14, 2022 4:50 pm
- Consider A System Consisting Of N Components All Working Independent Of Each Other And Life Spans Of Each Component Ex 1 (72.19 KiB) Viewed 59 times
Consider a system consisting of N components, all working independent of each other, and life spans of each component exponentially distributed with mean λ−1. When a component brt down, repair of the component starts immediately and independent of whether any other compu nent has broken down. The repair time of each component is exponentially distributed with mean μ−1. The system is in state n at time t if there are exactly n components under repair at time t. 2 APM 4802/A03/0/2022 (4.1) Explain why this is a birth and death process. (4.2) Determine the intensity matrix. (4.3) Find the stationary initial distribution. (4.4) Let λ=μ and assume that all components are working. Find the distribution F(t) of the first time that two components do not work.