COMAP is pleased to announce the results of the 29th annual Mathematical Contest in Modeling (MCM). This year, 5636 teams representing institutions from fourteen countries participated in the contest. Eleven teams from the following institutions were designated as OUTSTANDING WINNERS（特等奖优胜队伍名单如下）:
Beijing Univ. of Posts and Telecomm, China Bethel University, Arden Hills, MN Colorado College, Colorado Springs, CO Fudan University, China Nanjing University, China Peking University, China Shandong University, China Shanghai Jiaotong University, China Tsinghua University, China University of Colorado Boulder, Boulder, CO (2)
This year’s contest ran from Thursday, January 31 to Monday, February 4, 2013. During that time, teams of up to three undergraduate or high school students researched, modeled, and submitted a solution to one of two modeling problems. The 2013 MCM was primarily an online contest. Teams registered, obtained contest materials, and downloaded the problem and data at the prescribed time through COMAP’s MCM Website. This year the two MCM problems represented significant challenges. The author of the A problem is Veena Mendiratta. The problem was “The Ultimate Brownie Pan”.
When baking in a rectangular pan heat is concentrated in the 4 corners and the product gets overcooked at the corners (and to a lesser extent at the edges). In a round pan the heat is distributed evenly over the entire outer edge and the product is not overcooked at the edges. However, since most ovens are rectangular in shape using round pans is not efficient with respect to using the space in an oven. Develop a model to show the distribution of heat across the outer edge of a pan for pans of different shapes - rectangular to circular and other shapes in between.
Assume
1. A width to length ratio of W/L for the oven which is rectangular in shape.
2. Each pan must have an area of A.
3. Initially two racks in the oven, evenly spaced.
Develop a model that can be used to select the best type of pan (shape) under the following conditions:
1. Maximize number of pans that can fit in the oven (N)
2. Maximize even distribution of heat (H) for the pan
3. Optimize a combination of conditions (1) and (2) where weights p and (1- p) are assigned to illustrate how the results vary with different values of W/L and p.
In addition to your MCM formatted solution, prepare a one to two page advertising sheet for the new Brownie Gourmet Magazine highlighting your design and results.
The B problem was authored by Professor Dave Olwell, entitled “Water, Water, Everywhere”. Fresh water is the limiting constraint for development in much of the world. Build a mathematical model for determining an effective, feasible, and cost-efficient water strategy for 2013 to meet the projected water needs of [pick one country from the list below] in 2025, and identify the best water strategy. In particular, your mathematical model must address storage and movement; de-salinization; and conservation. If possible, use your model to discuss the economic, physical, and environmental implications of your strategy. Provide a non-technical position paper to governmental leadership outlining your approach, its feasibility and costs, and why it is the “best water strategy choice.” Countries: United States, China, Russia, Egypt, or Saudi Arabia The eleven Outstanding solution papers will be featured in The UMAP Journal, along with commentary from the authors and other judges. All
5636 of the competing teams are to be congratulated for their excellent work and enthusiasm for mathematical modeling and interdisciplinary problem solving.
2013 MCM Statistics
• 5636 teams participated
• 4 high school teams (1%)
• 375 US Teams (7%)
• 5261 Foreign Teams (93%) from Canada, China, Finland,
Germany, Hong Kong, India, Indonesia, Mexico, Malaysia,
Singapore, South Korea, Sweden, United Kingdom
• 11 Outstanding Winners (1%)
• 13 Finalist Winners (1%)
• 858 Meritorious Winners (15%)
• 1650 Honorable Mentions (29%)
• 3094 Successful Participants (55%)
• 10 Unsuccessful Participants (1%)
Major funding for the MCM is provided by COMAP. Additional support is provided by the Institute for Operations Research and the Management Sciences (INFORMS) and Two Sigma Investments. COMAP's Mathematical Contest in Modeling and Interdisciplinary Contest in Modeling are unique among modeling competitions in that they are the only international contests in which students work in teams to find a solution. Centering its educational philosophy on mathematical modeling, COMAP uses mathematical tools to explore real-world problems. It serves the educational community as well as the world of work bypreparing students to become better informed—and prepared—citizens, consumers, and workers.
Contest Director
William Fox, Naval Postgraduate School, Monterey, CA
Executive Director
Solomon A. Garfunkel, COMAP, Inc., Bedford, MA
Founding Director
Ben Fusaro, Florida State University
Associate Director
Pat Driscoll, United States Military Academy, NY
IP卡
狗仔卡
发表于 2013-4-22 16:51
转播
淘帖
分享
收藏
支持
反对
微信
提升卡
置顶卡
沉默卡
喧嚣卡
变色卡
抢沙发
显身卡
发表于 2018-1-31 20:43
