Tail asymptotics for the busy period in the GI/G/1 queue
成果类型：
Article
署名作者：
Zwart, AP
署名单位：
Eindhoven University of Technology
刊物名称：
MATHEMATICS OF OPERATIONS RESEARCH
ISSN/ISSBN：
0364-765X
DOI：
10.1287/moor.26.3.485.10584
发表日期：
2001
页码：
485-493
关键词：
摘要：
We characterise the tail behaviour of the busy period distribution in the GI/G/1 queue under the assumption that the tail of the service time distribution is of intermediate regular variation. This extends a result of de Meyer and Teugels (de Meyer and Teugels 1980), who treated the M/G/1 queue with a regularly varying service time distribution. Our method of proof is, opposed to the one in de Meyer and Teugels (1980), probabilistic, and reveals an insightful relationship between the busy period and the cycle maximum.