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| M/G/1排队论系统的渐近稳定性 | |
| 引用本文： | 郑福,高超,朱广田.M/G/1排队论系统的渐近稳定性[J].应用泛函分析学报,2011,13(2):218-224. |
| 作者姓名： | 郑福 高超 朱广田 |
| 作者单位： | 1. 北京信息控制研究所,北京,100048;渤海大学数学系,锦州,121002 2. 北京信息控制研究所,北京,100048 3. 中国科学院数学与系统科学研究院,北京,100190 |
| 摘 要： | 通过M/G/1算子的谱分析得到了M/G/1排队论系统的渐近稳定性.首先,将系统方程转化为某一合适Banach空间上的抽象Cauchy闻题,从而引入M/G/1算子.其次,分析了M/G/1算子的谱分布,得到了0是M/G/1算子的简单本征值且M/G/1算子的谱分布在左半平面的结果.最后,利用谱分析结果和算子半群理论得到了M/... |
| 关 键 词： | Co-半群 M/G/1排队论系统 渐近稳定性 |
Asymptotic Stability of the M/G/1 Queueing System |
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| ZHENG Fu,GAO Chao,ZHU Guangtian.Asymptotic Stability of the M/G/1 Queueing System[J].Acta Analysis Functionalis Applicata,2011,13(2):218-224. | |
| Authors: | ZHENG Fu GAO Chao ZHU Guangtian |
| Institution: | ZHENG Fu~(1,2),GAO Chao~1,ZHU Guangtian~3 1.Beijing Institute of Information and Control,Beijing 100048,China 2.Department of Mathematics,Bohai University,Jinzhou 121002,China 3.Academy of Mathematics and Systems Science,CAS,Beijing 100190,China |
| Abstract: | In this paper,the asymptotic stability of the M/G/1 queueing system was obtained under reasonable assumptions on the service rate functions by analyzing the spectral distribution of the M/G/1 operator.Firstly,the governing integro-differential equations of M/G/1 queueing system were translated into an abstract Cauchy problem on some suitable Banach space and the M/G/1 operator was introduced.Secondly,the spectral distribution of the M/G/1 operator was analyzed and the spectral set of the M/G/1 operator belo... |
| Keywords: | C_0-semigroup M/G/1 queueing system asymptotic stability |
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