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| 具有多类顾客的单服务台流体逼近的收敛速度 | |
| 引用本文： | 郭永江,杨驭云,于加尚. 具有多类顾客的单服务台流体逼近的收敛速度[J]. 应用数学学报, 2006, 29(6): 1125-1138 |
| 作者姓名： | 郭永江 杨驭云 于加尚 |
| 作者单位： | 1. 北京邮电大学理学院,北京,100876 2. 华南师范大学南海学院,佛山,528225 3. 菏泽学院数学系,菏泽,274015 |
| 摘 要： | 本文研究了—个具有多类顾客到达的单服务台排队系统．在流体变换下,我们知道排队模型以概率1在紧集上一致收敛到相应的流体模型．在一致收敛拓扑下,如果到达过程,服务过程在流体变换下以指数速度收敛到相应的流体过程,我们证明了在流体变换下的排队系统中的各个参量以指数速度收敛到流体模型中相应的参量,这些参量包括队长过程,负荷过程,逗留时间过程,离去过程,闲期过程等． |
| 关 键 词： | 排队系统 多类顾客 流体逼近 收敛速度 |
| 收稿时间： | 2005-12-05 |
| 修稿时间： | 2005-12-05 |
Rate of Convergence of Fluid Approximation for a Multi-class Single-server Queue |
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| GUO YONGJIANG,YANG YUYUN,YU JIASHANG. Rate of Convergence of Fluid Approximation for a Multi-class Single-server Queue[J]. Acta Mathematicae Applicatae Sinica, 2006, 29(6): 1125-1138 | |
| Authors: | GUO YONGJIANG YANG YUYUN YU JIASHANG |
| Affiliation: | 1School of Science, Beijing University of Telecommunications and Posts, Beijing 100876;2Nanhai College of South China Normal University, Foshan 528225;3Department of Mathematices, Heze University, Heze 274015 |
| Abstract: | A multi-class single-server queue is considered in this paper. Under uniform topology, if the scaled arrival process and the scaled service process converge to the corresponding fluid processes with an exponential rate, we prove that the scaled processes characterizing the queue converge to the corresponding fluid limits with the exponential rate. Here the scaled processes include the queue length process, workload process, sojourn time process, depature process, idle time process. |
| Keywords: | queueing system multi-class customers fluid approximation rate |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |