美国数学建模优秀-mcm综合讲座

1、MCM 综合讲座2009-3-20上饶Content一、赛题一览二、概括与建议一、赛题一览95 年第 11 届 mcmA 题：螺旋线交点（The Single Helix）B 题：教师工资系统（Aluacha Balaclava College）96 年第 12 届 mcmA 题：侦测潜水艇（The Submarine Detection）B 题：评委阅卷问题（The Contest Judging Problem）97 年第 13 届 mcmA 题：恐龙追逐问题（The Velociraptor Problem） B 题：混合分组问题（The Mix Well for Fruitful Di

2、scuss Problem）98 年第 14 届 mcmA 题：扫描仪问题（The Scannroblem）B 题：分数膨胀问题(The Grade Inflation Problem)99 年第 15 届 mcm/第 1 届 icmA 题：大碰撞（Dempact）B 题：C 题：(Unlawful Assembly)污染（Ground Pollution）00 年第 16 届 mcm/第 2 届 icmA 题：空中问题（Air Traffic Control）B 题：通讯频道分配（Radio Channel Assignments）C 题：大象：多还是不多？（Elephants: When

3、is Enough, Enough?）01 年第 17 届 mcm/第 3 届 icmA 题：自行车B 题：飓风时问题（The Bicycle Wheel Problem）问题（The Hurricane Evacuation problem）02 年mcm/第 4 届 icmA 题：风与水柱（Wind and Waterspray）B 题：机票超订（Airline Overbooking）03 年第 19 届 mcm/第 5 届 icmA 题：特技演员问题（The Stunt）B 题：伽马刀治疗方案（Gamma Knife Treatment Planning）C 题：机场安检问题（The

4、Airport Security Problem）04 年第 20 届 mcm/第 6 届 icmA 题：鉴别问题（Are Fingrs Unique?）*B 题：快速通道系统（A Faster Quick Pass System）C 题：安全性问题（The Inform. Tech. Security Problem）05 年第 21 届 mcm/第 7 届 icmA 题：洪水问题（Flood Planning）B 题：问题（Tollbooths）C 题：不可再生资源问题（The Exhaustible Resource Problem）06 年第 22 届 mcm/第 8 届 icmA 题

5、：灌溉系统（itioning and Moving Sprinkler Systems for Irrigation）B 题：机场轮椅通道（Wheelchair Acs at Airports）C 题：问题（The HIV/AIDSProblem）07 年第 23 届 mcm/第 9 届 icmA 题: 选区划分（Gerrymandering）B 题: 航空登机问题（The Airplaating Problem）C 题：移植问题（an Transplant: The Kidney ExchangeProblem）08 年第 24 届 mcm/第 10 届 icmA 题:B 题:C 题:Tak

6、e a BathCreating Sudoku PuzzlesFinding the Good in Health Care Systems二、概括与建议1、AMgood insighto the Problem.ers can frequently gain creditability by demonstratingt they understand the problem in its context.（教师工资系统）Their sections on “Practical Considerations” and “What Characterizes a Good Evaluation

7、 Method” demonstrated a clearunderstanding of the problem.（分数膨胀问题）The submisst wentthe sed problem andtention from thestayed true to the original goal received the mosjudges. Such prs showed creative and original thought, and theytruly stood apart from the rest. Moreover, they showed the deepestunde

8、rstanding of the task and.（自行车问题）2、Asolid “kernel”.Judges favored plabelings are optimal frst provide aclear prooft theireneral k. The best proofst we read wereimpressive, such as the one by the team from the Nationaiversityt made theof Defence Technology.t pr is among thoseeresting observationt fen

9、eral k there is an optimal labelingfor the arrays in Part A and Bt uses only nine differentchannelswhich could be useful in some applications.（通讯频道分配）The pr from the Nationaiversity of Defense Technology(pp. 155168) includes perhaps the most comprehensive review ofhealthcare systems, metrics, and ie

10、s among all submiss.Thepr is also notable for the sensitivityysis of its ms.Further,thisteamcontinuestotietheirscienticknowledgethroughout the pr, resulting in exceptional comparisons andevaluation of healthcare systems based on their m统评价）s.（医疗系3、平衡意识：在理论与实际之间、宏观把握与微观分析之间以及此目标与彼目标之间 trade off 。when

11、 faced with a decieither to present complicatedmathematicalysis on only a portion of the problem or else toattempt a complete ming effort, chose the latter. （大碰撞）it was extremely important to be able to choose amptionst did not make the problem too simp问题）ut still relevant.（自行车4、一个全面、协调的模型。outstandi

12、ng characteristics:it presented a high-quality application of the completeming pros;it demonstrated noteworthy originality and creativity in theiring effort; andmit was well written, in a clear exitory style, making it apleasure to read.5、做外部资源的主人。the exceptional prs provided conclusive evidencet th

13、eirteams had dedicated a substantial amount of time thinking about the problem prior to starting their quest for supporting information.（大碰撞）Unfortunay, as evidencedany prs, teams extracting thinkingaboutandinformationfromthese siteswithoutdiscussing the problem soon found themselves under the spell

14、 of thesiren, lulled bring to suc（大碰撞）o a mathematical approacht they were not able tosful closure in the time allotted for the competition.One key to sucsful mbuildingis to adapt existingnd, whether derived an understanding oftheory or ms properly to the problem aor researched, it is imperative to demonstratethe myou are using.（飓风时问题）6、Simulation play an important rolehe Contest.7、给出结果不是终点。应用模型、检验模型与给出模型同样重要。Why do you think your m you compare/validate it?How sensitive is your myou have chosen? (sensitivityis goo