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| 具有剩余寿命的M/G/1/K排队模型非负解的存在唯一性 | |
| 引用本文： | 赵志欣,郭丽娜,杨利娟,朱广田.具有剩余寿命的M/G/1/K排队模型非负解的存在唯一性[J].应用泛函分析学报,2011,13(4):413-415,424. |
| 作者姓名： | 赵志欣 郭丽娜 杨利娟 朱广田 |
| 作者单位： | 1. 北京信息控制研究所,北京,100037 2. 太原理工大学数学系,太原,030024 3. 北京理工大学理学院,北京,100081 4. 中国科学院数学与系统科学研究院,北京,100190 |
| 摘 要： | 研究了以剩余寿命作为增补变量的M／G／1／K排队模型．利用泛函分析中线性算子半群的积分半群理论讨论了该模型的瞬态解的存在唯一性问题． |
| 关 键 词： | M／G／1／K排队系统 积分半群 剩余寿命 时间依赖解 |
Existence and Uniqueness of Nonnegative Solution of M/G/1/K Queuing System with Remaining Service Time as the Supplementary Variable |
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| ZHAO Zhixin,GUO Lina,YANG Lijuan,ZHU Guangtian.Existence and Uniqueness of Nonnegative Solution of M/G/1/K Queuing System with Remaining Service Time as the Supplementary Variable[J].Acta Analysis Functionalis Applicata,2011,13(4):413-415,424. | |
| Authors: | ZHAO Zhixin GUO Lina YANG Lijuan ZHU Guangtian |
| Institution: | ZHAO Zhixin~1,GUO Lina~(2*),YANG Lijuan~3,ZHU Guangtian~4 1.Beijing Institute of Information and Control,Beijing 100037,China 2.Department of Mathematics,Taiyuan University of Technology,Taiyuan 030024,China 3.Department of Mathematics,Beijing Institute of Technology,Beijing 100081,China 4.Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,China |
| Abstract: | In this paper,a M/G/1/K queue model with the remaining life as a supplementary variable is discussed.By using integrated semigroup theory in functional analysis the existence and uniqueness of positive solution of this mode is obtained. |
| Keywords: | M/G/1/K queue integrated semigroup remaining service time time-dependent solution |
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