2013 年美国大学生数学建模竞赛 MCM

2013 年美国大学生数学建模竞赛 MCM、ICM 试题
2013 MCM A: 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.

2013 MCM B: 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

2013年美国大学生数学建模竞赛(MCMICM)参赛规则中英文对照

2013年美国大学生数学建模竞赛(MCMICM)参赛规则中英文对照_数学_自然科学_专业资料...a.如果您刚刚开始注册竞赛的第一个参赛队, 请点击网页左边的 Register for ...

2012年美国国际大学生数学建模竞赛(MCM ICM)题目 翻译

2012年美国国际大学生数学建模竞赛(MCM ICM)题目 翻译 隐藏>> IMPORTANT CHANGE TO CONTEST RULES FOR MCM/ICM 2012: Teams (Student or Advisor) are now requi...

2016-MCM美国大学生数学建模竞赛B题中文

2016-MCM美国大学生数学建模竞赛B题中文_工学_高等教育_教育专区。B 太空垃圾在地球轨道上的小碎片数量已成为日益严重的关注焦点。据估计,超过 500000 块的空间...

2012年美国大学生数学建模竞赛MCM_A题_树与树叶_一等奖...

2012年美国大学生数学建模竞赛MCM_A题_树与树叶_一等奖论文_理学_高等教育_教育专区。2012美赛论文翻译Leaf-Mass & Leaves Classification February 14, 2012 Abstrac...

2014年美国大学生数学建模竞赛题目及翻译

2014年美国大学生数学建模竞赛题目及翻译_营销/活动...In addition to the MCM format and requirements, ...比如 1913 年的教练和 2013 年的教练是否会有所不...

2016-MCM美国大学生数学建模竞赛C题中文

2016-MCM美国大学生数学建模竞赛C题中文_工学_高等教育_教育专区。C 慈善组织 Goodgrant 基金是一家致力于帮助大学生在美国大学提高 教学表现的机构。现在,这个...