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| 具有剩余寿命且排队空间有限的M/G/1排队模型非负解的存在唯一性 | |
| 引用本文： | 杨利娟,赵志欣,朱广田.具有剩余寿命且排队空间有限的M/G/1排队模型非负解的存在唯一性[J].数学的实践与认识,2012,42(7):163-169. |
| 作者姓名： | 杨利娟 赵志欣 朱广田 |
| 作者单位： | 1. 北京理工大学数学学院,北京,100081 2. 北京信息控制研究所系统工程系,北京,100037 3. 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,排队空间有限的M/G/1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排队系统 积分半群 剩余寿命 时间依赖解 |
Existence and Uniqueness of Nonnegative Solution of the Finite-Buffer M/G/1 Queuing System with Remaining Service Time as the Supplementary Variable |
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| YANG Li-juan , ZHAO Zhi-xin , ZHU Guang-tian.Existence and Uniqueness of Nonnegative Solution of the Finite-Buffer M/G/1 Queuing System with Remaining Service Time as the Supplementary Variable[J].Mathematics in Practice and Theory,2012,42(7):163-169. | |
| Authors: | YANG Li-juan ZHAO Zhi-xin ZHU Guang-tian |
| Institution: | 1.Department of Mathematics,Beijing Institute of Technology,Beijing 100081,China) (2.Beijing Institute of Information and Control,Beijing 100037,China) (3.Academy of Mathematics and System Science,C.A.S.,Beijing 100190,China) |
| Abstract: | In this paper,a Finite-Buffer M/G/1 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 queue integrated semigroup remaining service time time-dependent solution |
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