The law of the iterated logarithm for extreme waiting time in multiphase queueing systems

被引：0
|
作者：
Minkevičius S. [1 ]
机构：
[1] Institute of Mathematics and Informatics, LT-2021 Vilnius
来源：
Lithuanian Mathematical Journal | 2002年 / 42卷 / 4期
关键词：
Extreme values; Heavy traffic; Law of iterated logarithm; Multiphase queueing systems; Queueing systems; Summary waiting time of a customer; Waiting time of a customer;
D O I：
10.1023/A:1021778223291
中图分类号：
学科分类号：
摘要：
The objective of this research in the 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 the extreme values of some important probabilistic characteristics of the MQS, namely, maxima and minima of the summary waiting time of a customer, and maxima and minima of the waiting time of a customer. © 2002 Plenum Publishing Corporation.
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页码：373 / 386
页数：13
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