Question: The infinite server queueing system in which customers arrive according to a Poisson process with rate , and have a general service distribution G, was

The infinite server queueing system in which customers arrive according to a Poisson process with rate

λ, and have a general service distribution G, was analyzed in Section 5.3, where it was shown that the number of customers in the system at time t is Poisson distributed with mean λ

t 0

¯G

(y)dy. If we say that the system is busy when there is at least one customer in the system and is idle when the system is empty, find E[B], the expected length of a busy period.

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