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全国大学生数学建模 竞赛组织委员会主办
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目 录
2009 年美国大学生数学建模竞赛(MCM) 和交叉学科建模竞赛(ICM)赛题………………………………………(1) 我国学生参加 2009 年美国大学生数学建模竞赛(MCM) 和交叉学科建模竞赛(ICM)情况简介…………………………………(11) 赛区通讯 第十七届数模竞赛北京地区颁奖会暨赛后继续研讨会…………(19) 2009 年湘,赣,鄂,闽,豫五省数学建模骨干教师培训班……(20) 数模竞赛赛题摘选…………………………………………………………(21) 的通知……(25) "2009 高教社杯全国大学生数学建模竞赛 MATLAB 创新奖" 迈斯沃克公司广告………………………………………………………(封底)
《全国大学生数学建模竞赛通讯》征稿启事
《全国大学生数学建模竞赛通讯》主要面向全国各赛区组委会,参赛院校教育行政 部门,指导教师和学生.征稿内容为: 赛区组委会在组织报名,培训,竞赛巡视,评阅等方面的经验和具体作法; 参赛院校和指导教师在组织报名,培训等方面的经验和具体作法; 参赛学生的体会; 竞赛在培养创新人才,推动教学改革中的典型事例; 争取社会各界支持竞赛的成功经验和作法,及社会各界对竞赛的理解; 国内外有关信息. 来稿请寄: 100084 北京清华大学数学科学系胡明娅, "数学建模竞赛通讯稿件" 注明 . 欢迎以电子邮件方式投稿:mhu@math.tsinghua.edu.cn 《全国大学生数学建模竞赛通讯》2009 年第 2 期 (2009 年 6 月, 总第 30 期) 主办:全国大学生数学建模竞赛组织委员会 地址:北京清华大学数学科学系(邮编:100084) 网址:http://mcm.edu.cn 电话:010-62781785 传真:010-62773400 责任编辑:孟大志
2009 年美国大学生数学建模竞赛(MCM) 和交叉学科建模竞赛(ICM)赛题
PROBLEM A: Designing a Traffic Circle
Many cities and communities have traffic circles—from large ones with many lanes in the circle (such as at the Arc de Triomphe in Paris and the Victory Monument in Bangkok) to small ones with one or two lanes in the circle. Some of these traffic circles position a stop sign or a yield sign on every incoming road that gives priority to traffic already in the circle; some position a yield sign in the circle at each incoming road to give priority to incoming traffic; and some position a traffic light on each incoming road (with no right turn allowed on a red light). Other designs may also be possible. The goal of this problem is to use a model to determine how best to control traffic flow in, around, and out of a circle. State clearly the objective(s) you use in your model for making the optimal choice as well as the factors that affect this choice. Include a Technical Summary of not more than two double-spaced pages that explains to a Traffic Engineer how to use your model to help choose the appropriate flow-control method for any specific traffic circle. That is, summarize the conditions under which each type of traffic-control method should be used. When traffic lights are recommended, explain a method for determining how many seconds each light should remain green (which may vary according to the time of day and other factors). Illustrate how your model works with specific examples.

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