Palmowski, Zbigniew et Rolski, Tomasz, On the exact asymptotics of the busy period in GI/G/1 queues, Advances in applied probability , 38(2), 2006, pp. 792-803
In this paper we study the busy period in GI/G/1 work-conserving queues. We give the exact asymptotics of the tail distribution of the busy period under the light tail assumptions. We also study the workload process in the M/G/1 system conditioned to stay positive.