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| 基于Geom/Geom/(Geom/Geom)的双输入排队系统 | |
| 引用本文： | 杨云云,马占友,李艳兰,陈利.基于Geom/Geom/(Geom/Geom)的双输入排队系统[J].辽宁工程技术大学学报(自然科学版),2012,31(4):573-576. |
| 作者姓名： | 杨云云 马占友 李艳兰 陈利 |
| 作者单位： | 1. 燕山大学理学院,河北秦皇岛,066004 2. 燕山大学理学院,河北秦皇岛066004;河北省哲学社会科学研究基地,河北秦皇岛066004 3. 燕山大学里仁学院,河北秦皇岛,066004 |
| 基金项目： | 国家自然科学基金资助项目(71071134);河北省自然科学基金资助项目(F2009000475);河北省教育厅基金资助项目(Z2010182) |
| 摘 要： | 为了使通讯系统P2P更有效地应用到现实生活中,建立了Geom/Geom/(Geom/Geom)的双输入排队系统并对其研究.利用拟生灭链和矩阵几何解的方法,得到了稳态下系统中的平均顾客数和平均服务台数的表达式,通过数值例子分析了有关参数对平均顾客数和平均服务台数的影响,说明该模型能够有效地分析一些实际的问题.该成果对通讯系统P2P的研究与应用具有一定的参考价值和指导意义. |
| 关 键 词： | 运筹学 离散时间排队 多服务台 拟生灭链 平稳分布 矩阵几何解 队长 算法分析 |
Dual input queuing system based on Geom/Geom/(Geom/Geom) |
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| YANG Yunyun , MA Zhanyou , LI Yanlan , CHEN Li.Dual input queuing system based on Geom/Geom/(Geom/Geom)[J].Journal of Liaoning Technical University (Natural Science Edition),2012,31(4):573-576. | |
| Authors: | YANG Yunyun MA Zhanyou LI Yanlan CHEN Li |
| Institution: | 1.College of Science,Yanshan University,Qinhuangdao 066004,China;2.Philosophy and Social Science Research Base in Hebei Province,Yanshan University,Qinhuangdao 066004,China; 3.Liren College,Yanshan University,Qinhuangdao 066004,China) |
| Abstract: | In order to enable the communication system P2P to be more effectively applied in practice,this study has simulated the Geom/Geom/(Geom/Geom) input queuing system using quasi birth and death chain and matrix geometric solution method.The study obtained the numerical expression for calculating the average number of customers in steady state system,and the average number of server.Furthermore,using numerical examples,the effect of relevant parameters on the average number of customers and the average number of server demonstrates that the model can effectively represent some practical problems.The study results and application of the P2P communication system has a certain reference value and significance. |
| Keywords: | operations research discrete time queuing multi-server quasi birth and death chain stationary distribution matrix geometric solution captain algorithm analysis |
| 本文献已被 CNKI 万方数据 等数据库收录！ | |