On the exact asymptotics of the busy period in GI/G/1 queues

Authors
Palmowski, Zbigniew Rolski, Tomasz
Citation
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
Journal title
Advances in applied probability → ACNP
ISSN journal
00018678
Volume
38
Issue
2
Year of publication
2006
Pages
792 - 803
Database
ACNP
SICI code
Abstract
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.