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2013 MCM Problem a Results 2013 Mathematical Contest in Modeling® Press Release—April 5, 2013 COMAP is pleased to announce the results of the 29th annual 2. Maximize even distribution of heat (H) for the pan Mathematical Contest in Modeling (MCM). This year, 5636 teams 3. Optimize a combination of conditions (1) and (2) where weights p and representing institutions from fourteen countries participated in the contest. (1- p) are assigned to illustrate how the results vary with different values of Eleven teams from the following institutions were designated as W/L and p. OUTSTANDING WINNERS: In addition to your MCM formatted solution, prepare a one to two page Beijing Univ. of Posts and Telecomm, China advertising sheet for the new Brownie Gourmet Magazine highlighting Bethel University, Arden Hills, MN your design and results. Colorado College, Colorado Springs, CO Fudan University, China The B problem was authored by Professor Dave Olwell, entitled “Water, Nanjing University, China Water, Everywhere”. Fresh water is the limiting constraint for development Peking University, China in much of the world. Build a mathematical model for determining an Shandong University, China effective, feasible, and cost-efficient water strategy for 2013 to meet the Shanghai Jiaotong University, China projected water needs of [pick one country from the list below] in 2025, Tsinghua University, China and identify the best water strategy. In particular, your mathematical model University of Colorado Boulder, Boulder, CO (2) must address storage and movement; de-salinization; and conservation. If possible, use your model to discuss the economic, physical, and This year’s contest ran from Thursday, January 31 to Monday, February 4, environmental implications of your strategy. Provide a non-technical 2013. During that time, teams of up to three undergraduate or high school position paper to governmental leadership outlining your approach, its students researched, modeled, and submitted a solution to one of two feasibility and costs, and why it is the “best water strategy choice.” modeling problems. The 2013 MCM was primarily an online contest. Countries: United States, China, Russia, Egypt, or Saudi Arabia Teams registered, obtained contest materials, and downloaded the problem and data at the prescribed time through COMAP’s MCM Website. The eleven Outstanding solution papers will be featured in The UMAP Journal, along with commentary from the authors and other judges. All This year the two MCM problems represented significant challenges. The 5636 of the competing teams are to be congratulated for their excellent author of the A problem is Veena Mendiratta. The problem was “The work and enthusiasm for mathematical modeling and interdisciplinary Ultimate Brownie Pan”. problem solving. 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 2013 MCM Statistics 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 • 5636 teams participated to using the space in an oven. Develop a model to show the distribution of • 4 high school teams (1%) heat across the outer edge of a pan for pans of different shapes - rectangular • 375 US Teams (7%) to circular and other shapes in between. • 5261 Foreign Teams (93%) from Canada, China, Finland, Germany, Hong Kong, India, Indonesia, Mexico, Malaysia, Assume Singapore, South Korea, Sweden, United Kingdom 1. A width to length ratio of W/L for the oven which is rectangular in shape. • 11 Outstanding Winners (1%) 2. Each pan must have an area of A. • 13 Finalist Winners (1%) 3. Initially two racks in the oven, evenly spaced. • 858 Meritorious Winners (15%) • 1650 Honorable Mentions (29%) Develop a model that can be used to select the best type of pan (shape) • 3094 Successful Participants (55%) under the following conditions: 1. Maximize number of pans that can fit in the oven (N) • 10 Unsuccessful Participants (1%) To obtain additional information about the MCM and to obtain a complete listing of all team designations, please visit the MCM Website at: www.mcmcontest.com, or contact COMAP at: [email protected]. 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 by preparing students to become better informed—and prepared—citizens, consumers, and workers. Contest Director Founding Director William Fox, Naval Postgraduate School, Monterey, CA Ben Fusaro, Florida State University Executive Director Associate Director Solomon A. Garfunkel, COMAP, Inc., Bedford, MA Pat Driscoll, United States Military Academy, NY 2013 MCM Problem A Contest Results Ctrl # Institution Country Advisor Problem Designation 18439 Fudan University China Ling Yang A Outstanding Winner 19178 Shanghai Jiaotong University China Yuehui Zhang A Outstanding Winner 20329 Peking University China Xufeng Liu A Outstanding Winner 20559 Bethel University USA Nathan Gossett A Outstanding Winner MAA Award 22550 University of Colorado Boulder USA Anne Dougherty A Outstanding Winner SIAM Award 23004 Shandong University China Hengxu Zhang A Outstanding Winner INFORMS Award 17617 Tongji University China Jialiang Xiang A Finalist Ben Fusaro Award 17867 Beijing Institute of Technology China Qiong Zhang A Finalist 20340 Chongqing University China Qiongfang Liu A Finalist 21081 Institution of Mathematics;Northeastern China Shuni Song A Finalist 21483 Xi'an Jiaotong University China Shibin Fu A Finalist 2013 MCM Problem A Contest Results Ctrl # Institution Country Advisor Problem Designation 17366 Huazhong Agricultural University China Yanling Xu A Meritorious Winner 17373 Northwestern Polytechnical University China Ligong Wang A Meritorious Winner 17385 Northwestern Polytechnical University China Xiaohong An A Meritorious Winner 17389 Northwestern Polytechnical University China You Lu A Meritorious Winner 17489 Harbin Institute of Technology China Guanghong Gao A Meritorious Winner 17498 Harbin Institute of Technology China Yu Xiao A Meritorious Winner 17542 University of Science and Technology of China Wenyao Zhang A Meritorious Winner 17544 Beijing Institute of Technology China Wang Hongzhou A Meritorious Winner 17548 Fuzhou University China Xianghan Zheng A Meritorious Winner 17552 Tongji University China Hualong Zhang A Meritorious Winner 17562 Tongji University China Chaoyang Hao A Meritorious Winner 2013 MCM Problem A Contest Results Ctrl # Institution Country Advisor Problem Designation 17569 Tongji University China Lina Li A Meritorious Winner 17576 Harbin Institute of Technology China Li Cao A Meritorious Winner 17579 Harbin Institute of Technology China Haiyu Wen A Meritorious Winner 17593 Sun Yat-Sen University China Yanhui Guan A Meritorious Winner 17594 Inner Mongolia University of Technology China Jijun Li A Meritorious Winner 17597 Harbin Institute of Technology China Weiguo Liu A Meritorious Winner 17602 Tongji University China Zhijian Qian A Meritorious Winner 17611 Harbin Institute of Technology China Yong Wang A Meritorious Winner 17621 Harbin Institute of Technology China Dongsong Li A Meritorious Winner 17665 Harbin Institute of Technology China Shuilin Jin A Meritorious Winner 17687 Sun Yat-Sen University China Jiajun Zhang A Meritorious Winner 2013 MCM Problem A Contest Results Ctrl # Institution Country Advisor Problem Designation 17689 Beijing Normal University China Jiao Jin A Meritorious Winner 17701 Beijing Normal University China Yongping Liu A Meritorious Winner 17755 Harbin Institute of Technology China Yanbo Pei A Meritorious Winner 17761 Harbin Institute of Technology China Yuan Zhao A Meritorious Winner 17770 Harbin No.3 Middle School China Daocun Zhang A Meritorious Winner 17795 Harbin Institute of Technology China Dewei Gong A Meritorious Winner 17798 Harbin Institute of Technology China Qingdong Wang A Meritorious Winner 17833 Harbin Institute of Technology China Quan Han A Meritorious Winner 17851 Beijing Institute of Technology China Chunlei Cao A Meritorious Winner 17866 Beijing Institute of Technology China Qiong Zhang A Meritorious Winner 17936 Sun Yat-sen University China Tao Su A Meritorious Winner 2013 MCM Problem A Contest Results Ctrl # Institution Country Advisor Problem Designation 17965 Harbin Institute of Technology China Yuqiang Liu A Meritorious Winner 17999 Harbin Institute of Technology China Yinglin Song A Meritorious Winner 18018 Harbin Institute of Technology China Lijiang Hu A Meritorious Winner 18143 Sun Yat-sen University China Lin Zhuang A Meritorious Winner 18188 Beihang University China YI QI A Meritorious Winner 18206 Shanxi University China Jianghao Hao A Meritorious Winner 18236 China Welfare Institute China Linfeng Dong A Meritorious Winner 18252 South China Normal University China Xiu Liu A Meritorious Winner 18282 Dalian Maritime University China Yong Liu A Meritorious Winner 18310 Peking University China Jiazhong Yang A Meritorious
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