Time-dependent analysis for a queue modeled by an infinite system of partial differential equations

被引：5

作者：

Gupur, Geni ^{[1
]}

机构：

[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China

来源：

SCIENCE CHINA-MATHEMATICS | 2012年 / 55卷 / 05期

基金：

中国国家自然科学基金;

关键词：

M/G/1 queueing model with single vacation; resolvent set; eigenvalue; PERIOD;

D O I：

10.1007/s11425-011-4351-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By studying the spectrum of the underlying operator corresponding to the exhaustive-service M/G/1 queueing model with single vacations we prove that the time-dependent solution of the model strongly converges to its steady-state solution.

引用

页码：985 / 1004

页数：20

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