Tail asymptotics for processor-sharing queues

被引:24
|
作者
Guillemin, F
Robert, P
Zwart, B
机构
[1] France Telecom R&D, F-22300 Lannion, France
[2] INRIA, F-78153 Le Chesnay, France
[3] Eindhoven Univ Technol, Dept Math & Comp Sci, NL-5600 MB Eindhoven, Netherlands
关键词
heavy tail; processor sharing; reduced-load approximation;
D O I
10.1239/aap/1086957584
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
The basic queueing system considered in this paper is the: M/G/I processor-sharing queue with or without impatience and with finite or infinite capacity. Under some mild assumptions, a criterion for the validity of the reduced-service-rate approximation is established when service times are heavy tailed. This result is applied to various models based on M/G/I processor-sharing queues.
引用
收藏
页码:525 / 543
页数:19
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