A system consisting of four components is said to work whenever both at least one of components

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A system consisting of four components is said to work whenever both at least one of components 1 and 2 work and at least one of components 3 and 4 work Suppose that component i alternates between working and being failed in accordance with a nonlattice alternating renewal process with distributions F, and G., i = 1, 2, 3, 4 If these alternating renewal processes are independent, find lim P{system is working at time t} 3.32 Consider a single-server queueing system having Poisson arrivals at rate A and service distribution G with mean G. Suppose that g <1

(a) Find Po, the proportion of time the system is empty.

(b) Say the system is busy whenever it is nonempty (and so the server is busy) Compute the expected length of a busy period

(c) Use part

(b) and Wald's equation to compute the expected number of customers served in a busy period.

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