Global and local asymptotics for the busy period of an M/G/1 queue
We consider an M/G/1 queue with subexponential service times. We give a simple derivation of the global and local asymptotics for the busy period. Our analysis relies on the explicit formula for the joint distribution for the number of customers and the length of the busy period of an M/G/1 queue.
busy period busy cycle heavy-tailed distributions