A law of the iterated logarithm for extreme queue length in multiphase queues

被引：0
|
作者：
Minkevicius, S. [1 ]
机构：
[1] Vilnius Gediminas Tech Univ, LT-10223 Vilnius, Lithuania
来源：
ACTA APPLICANDAE MATHEMATICAE | 2007年 / 98卷 / 02期
关键词：
Queueing systems; Multiphase queueing systems; heavy traffic; law of the iterated logarithm; extreme values; summary queue length of customers; queue length of customers;
D O I：
10.1007/s10440-007-9154-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The object of this research in queueing theory is the Law of the Iterated Logarithm (LIL) under the conditions of heavy traffic in Multiphase Queueing Systems (MQS). In this paper, the LIL is proved for extreme values of important probabilistic characteristics of the MQS investigated as well as maxima and minima of the summary queue length of customers and maxima and minima of the queue length of customers. Also, the paper presents a survey on the works for extreme values in queues and the queues in heavy traffic.
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页码：153 / 161
页数：9
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