Central limit theorem for a many-server queue with random service rates
Central limit theorem for a many-server queue with random service rates
Given a random variable N with values in ℕ, and N i.i.d. positive random variables {μk}, we consider a queue with renewal arrivals and N exponential servers, where server k serves at rate μk, under two work conserving routing schemes. In the first, the service rates {μk} need not be …