Question: 13. Recall that an M/M/c queueing system is a GI/G/c system in which there are c servers, customers arrive according to a Poisson process with

13. Recall that an M/M/c queueing system is a GI/G/c system in which there are c servers, customers arrive according to a Poisson process with rate λ, and service times are exponential with mean 1/µ. Suppose that ρ = λ/(cµ) < 1; hence the queueing system is stable. Find the long-run probability that there are no customers in the system.

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