A Simple proof for the stability of global FIFO queueing networks

被引:0
作者
Yang, Jian-kui [1 ]
机构
[1] Beijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China
来源
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES | 2009年 / 25卷 / 04期
关键词
queueing networks; stability; fluid models; FLUID MODELS; CONVERGENCE; EQUILIBRIA;
D O I
10.1007/s10255-009-8819-5
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We study the stability of multiclass queueing networks under the global FIFO (first in first out) service discipline, which was established by Bramson in 2001. For these networks, the service priority of a customer is determined by his entrance time. Using fluid models, we describe the entrance time of the most senior customer in the networks at time t, which is the key to simplify the proof for the stability of the global FIFO queueing networks.
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页码:647 / 654
页数:8
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