## 校医院挂号窗口排队特性分析

Title    The analysis of the University Hospital’s registered window line up features
Abstract
This article make a introduction to the origin and development of the Queuing Theory, we also introduce its diretion and status quo of research. We disscuss Queuing Theory’s three major components in detail, and we also make a detailed analysis of the Possion input, which is very basal and important. Then we talk about the most basic model of the Queuing Theory: The single service window M/M/1 and the multi-service window M/M/n, and then figure out their respective number of indicators. Finial, as a queuing system application, we conducted an investigation and data collection of the university hospital’s queuing system. Due to limited conditions, we turn to study the queuing system of the internal medicine clinic,we use  test methods to test data collected obey which distribution. And then we based on the results calculated the correspngding parameters. To achive the goal of Queuing Theory to solve practical problems.

Keywords  input process   queuing discipline   service agencies   Poission distribution    Negative exponential distribution

1 引言    1
1.1 排队论的产生背景和发展过程    1
1.2 排队论的主要研究方向    1
1.3 排队论在国内的发展    3
2 排队论基本理论    3
2.1 随机服务系统的三个组成部分    3
2.2 排队系统的几个主要的数量指标    7
3． 泊松输入与负指数分布    9
3.1 定义的分析    9
3.2  公式的证明    9
3.3 参数λ的物理意义    11
3.4 负指数分布的一个重要性质    12
3.5 生灭过程    12
4 单服务窗排队模型M/M/1    13
4.1 单服务窗损失制排队模型M/M/1/1    13
4.2 单服务窗混合制排队模型M/M/1/m    15
5 多服务窗排队模型M/M/n    18
5.1 多服务窗损失制排队模型M/M/n/n    18
5.2 多服务窗混合制排队模型M/M/n/m    21
6 排队论应用实例分析    24

1 引言
1.1 排队论的产生背景和发展过程

------分隔线----------------------------