2013美国大学生数学建模竞赛报名通知
详情点击http://www.docin.com/p-481857788.html 或
或http://www.comap.com/undergraduate/contests/
The Ground Rules
Contest Date and Time: The 2013 contests must be accomplished at a local facility starting at 8:01 PM EST on Thursday, February 7, 2013 and ending at 8:00 PM EST on Monday, February 11, 2013. (注:2月10日春节)
Each team is required to submit an electronic copy of its solution paper by email to
solutions@comap.com. The advisor or any team member may submit this email.Your email MUST be received at COMAP by the submission
deadline of 8:00 PM EST on February 11, 2013.
Faculty advisors must ensure that no further modifications, enhancements,additions, or improvements may be made to the team’s solution paper after this email submission.
COMAP must then receive your Printed Solution Packet via mail on or before Wednesday, February 20, 2013. The Contest Materials: The contest Website contains allthe guidelines, requirements, judging criteria, and suggested
procedures for the submission of solution papers, including step-by-step instructions.No materials will be available in
any other form. On Thursday, February 7 at 8:00 PM EST, the contest problems will be posted on the contest
Website.
The Advisors: Advisors inform students about this competition and encourage the formulation of teams.
Advisors may guide and rehearse the team prior to the beginning of the competition. During the competition,
the students are expected to develop all of the substantive analysis without the help ofothers.
Registration of Teams: All teams must register online on or before February 7, 2013 at 2:00 PM EST.
A $100 registration fee must be paid at registration online in order to participate.
The MCM and ICM contests now allow unlimited teams per institution, with unlimited teams per department. Each
team consists of up to three high school or undergraduate students who are enrolled in school at the time of the
contest.
Team members do not need to be named at the time of registration, but they must be determined before the contest problems are read.
The Contest Problems: Teams will choose one of three modeling problems:
MCM Problem A (continuous) or
MCM Problem B (discrete)
ICM Problem C (interdisciplinary)
Data, if needed, will be attached to the problem or available on the contest Website. Sample problems from other
years are online at
www.mcmcontest.com
The Report: Participants may use all the resources available such as computers, libraries, software packages,Internet,
or any other inanimate sources.Problems are designed to be open ended and are unlikely to have a unique solution.
Attention must be focused on clarity, analysis, and design of the solution.
The narrative section of the solution papers must be typed and in English. Partial solutions are acceptable. One
print copy of each paper must be submitted. Results: Judging will be completed by April 2013. Team solutions will be designated as
Outstanding Winner(特等奖),Finalist Winner(特等奖候选奖),Meritorious Winner(一等奖),Honorable Mention(二等奖),Successful Participants(成功参赛奖).
The results will be posted on COMAP’s Website.Certificates and press releases will be mailed or emailed by May
2013.Select outstanding teams will have their solution papers published in The UMAP Journal. Prizes: The Institute
for Operations Research and the Management Sciences (INFORMS) will designate an Outstanding Team from each
of the three problems as an INFORMS winner.The Society for Industrial and Applied Mathematics(SIAM) will designate
one Outstanding Team from each problem as a SIAM winner. The Mathematical Association of America (MAA) will designate one Outstanding Team from each problem forthe MCM as a MAA winner.
For detailed information on all of the above, please go to the contest Website at:
www.mcmcontest.com
简介
美国大学生数学建模竞赛(MCM/ICM),是一项国际级的竞赛项目,为现今各类数学建模竞赛之鼻祖。MCM/ICM 是 Mathematical Contest in Modeling 和 Interdisciplinary Contest in Modeling 的缩写,即“数学建模竞赛”和“交叉学科建模竞赛”。MCM 始于 1985 年,ICM 始于 2000 年,由 COMAP(the Consortium for Mathematics and Its Application,美国数学及其应用联合会)主办,得到了 SIAM,NSA,INFORMS 等多个组织的赞助。MCM/ICM 着重强调研究问题、解决方案的原创性、团队合作、交流以及结果的合理性。 竞赛以三人(本科生)为一组,在四天时间内,就指定的问题,完成该实际问题的数学建模的全过程,并就问题的重述、简化和假设及其合理性的论述、数学模型的建立和求解(及软件)、检验和改进、模型的优缺点及其可能的应用范围的自我评述等内容写出论文。由专家组成的评阅组进行评阅,评出优秀论文,并给予某种奖励,它只有唯一的禁律,就是在竞赛期间不得与队外任何人(包括指导教师)讨论赛题,但可以利用任何图书资料、互联网上的资料、任何类型的计算机和软件等,为充分发挥参赛学生的创造性提供了广阔的空间。竞赛每年都吸引大量著名高校参赛。2012年 MCM/ICM 有3697个队伍参加,遍及五大洲。MCM/ICM 已经成为最著名的国际大学生竞赛之一。
2012 MCM题目
Problem A: The Leaves of a Tree
“How much do the leaves on a tree weigh?” How might one estimate the actual weight of the leaves (or for that matter any other parts of the tree)? How might one classify leaves? Build a mathematical model to describe and classify leaves. Consider and answer the following:
• Why do leaves have the various shapes that they have?
• Do the shapes “minimize” overlapping individual shadows that are cast,
so as to maximize exposure? Does the distribution of leaves within the
“volume” of the tree and its branches effect the shape?
• Speaking of profiles, is leaf shape (general characteristics) related to tree
profile/branching structure?
• How would you estimate the leaf mass of a tree? Is there a correlation
between the leaf mass and the size characteristics of the tree (height, mass,
volume de fined by the profile)?
In addition to your one-page summary sheet, prepare a one-page letter to
an editor of a scienti fic journal outlining your key findings.
Problem B: Camping along the Big Long River
Visitors to the Big Long River (225 miles) can enjoy scenic views and exciting white water rapids. The river is inaccessible to hikers, so the only way to enjoy it is to take a river trip that requires several days of camping.
River trips all start at First Launch and exit the river at Final Exit, 225 miles downstream. Passengers take either oar- powered rubber rafts, which travel on average 4 mph or motorized boats, which travel on average 8 mph. The trips range from 6 to 18 nights of camping on the river, start to finish.
The government agency responsible for managing this river wants every trip to enjoy a wilderness experience, with minimal contact with other groups of boats on the river.
Currently, X trips travel down the Big Long River each year during a six-month period (the rest of the year it is too cold for river trips). There are Y camp sites on the Big Long River, distributed fairly uniformly throughout the river corridor. Given the rise in popularity of river rafting, the park managers have been asked to allow more trips to travel down the river. They want to determine how they might schedule an optimal mix of trips, of varying duration (measured in nights on the river) and propulsion (motor or oar) that will utilize the campsites in the best way possible. In other words, how many more boat trips could be added to the Big Long River’s rafting season?
The river managers have hired you to advise them on ways in which to develop the best schedule and on ways in which to determine the carrying capacity of the river, remembering that no two sets of campers can occupy the same site at the same
time.
In addition to your one-page summary sheet, prepare a one-page memo to the managers of the river describing your key findings.
2012 MCM Statistics
• 3,697 teams participated (with 1,329 more in the ICM)
• 8 high school teams (<0.5%)
• 341 U.S. teams (9%)
• 2,428 foreign teams (91%), from Canada, China, Finland, Germany, India,
Indonesia, Ireland, Malaysia, Mexico, Palestine, Singapore, South Africa,
South Korea, Spain, Turkey, and the United Kingdom
• 10 Outstanding Winners (<0.5%)
• 17 Finalist Winners (<0.5%)
• 405 Meritorious Winners (11%)
• 1,048 Honorable Mentions (28%)
• 2,211 Successful Participants (60%)
2012美国大学生数学建模特等奖论文集
http://www.docin.com/p-477861596.html