文档介绍：学号:0907431050
本科毕业论文(设计)
泊松分布在排队论中的应用
院系数学系
专业统计学
泊松分布在排队论中的应用
摘要
日常生活中存在着大量有形和无形的排队和拥挤现象,小到如旅客购票排队,市内电话占线银行服务系统,高速公路收费系统,,,在这个基础上,对采集的数据进行相关的的分析,将分析的结果和分析得出的数据回带到模型中,进行数学推演,得出数量指标的统计规律,然后根据这些指标为涉及排队论服务系统的改进提供有价值的参考. 本文先从排队论的相关基本知识入手,简单介绍排队论的内容,排队论的模型和模型需要用到的指标,从而引出对泊松分布的介绍,.
关键词:泊松分布排队论排队模型模型结论
ABSTRACT
There are a lot of tangible and intangible queuing and congestion phenomena in our daily life, such as passenger ticket queue, local telephone online, banking service system, the highway toll system. From a large perspective, it involves with the Defense bat effectiveness. The emergence and development of queuing e from the actual demand that will also affect the future development. The existing theoretical knowledge is helpful to establish typical models involved with queuing theory in daily life. Based on that, we can make analysis of the collected data, the result of the analysis can be taken into the model. Through mathematical deduction, the statistical regularity of the quantity index can be produced. With those indexes, some valuable reference for the improvement related to the Queuing service system. This paper starts with the basic knowledge related to the queuing theory, then makes a brief introduction of queuing theory, queuing model and the required index, thus leads to a introduction of the Poisson distribution. Finally, the related knowledge of Poisson queue service system is applied to engage a fitting calculation of the indicators on the practical life. And the model conclusion can be obtained.
Keywords: Poisson distribution queuing theory queuing model the model conclusion.
目录
摘要 I
ABSTRACT II
1 引言 4
2 排队论的基本理论 4
排队论简介 4
判断服务系统优劣的指标 5
3 排队论模型中的相关分布 6
时间间隔的分布 6
服务时间的分布 7
4 具体模型 7
模型一:////(顾客源无限,系统容量不限) 7
模型二: ////(系统容量有限) 9
5 具体实例分析 10
6 小结 14
引言
泊松分布(poisson distrib