美國數(shù)學(xué)建模優(yōu)秀-mcm綜合講座

1、MCM 綜合講座2009-3-20上饒Content一、賽題一覽二、概括與建議一、賽題一覽95 年第 11 屆 mcmA 題：螺旋線交點(diǎn)（The Single Helix）B 題：教師工資系統(tǒng)（Aluacha Balaclava College）96 年第 12 屆 mcmA 題：偵測(cè)潛水艇（The Submarine Detection）B 題：評(píng)委閱卷問題（The Contest Judging Problem）97 年第 13 屆 mcmA 題：恐龍追逐問題（The Velociraptor Problem） B 題：混合分組問題（The Mix Well for Fruitful Di

2、scuss Problem）98 年第 14 屆 mcmA 題：掃描儀問題（The Scannroblem）B 題：分?jǐn)?shù)膨脹問題(The Grade Inflation Problem)99 年第 15 屆 mcm/第 1 屆 icmA 題：大碰撞（Dempact）B 題：C 題：(Unlawful Assembly)污染（Ground Pollution）00 年第 16 屆 mcm/第 2 屆 icmA 題：空中問題（Air Traffic Control）B 題：通訊頻道分配（Radio Channel Assignments）C 題：大象：多還是不多？（Elephants: When

3、is Enough, Enough?）01 年第 17 屆 mcm/第 3 屆 icmA 題：自行車B 題：颶風(fēng)時(shí)問題（The Bicycle Wheel Problem）問題（The Hurricane Evacuation problem）02 年mcm/第 4 屆 icmA 題：風(fēng)與水柱（Wind and Waterspray）B 題：機(jī)票超訂（Airline Overbooking）03 年第 19 屆 mcm/第 5 屆 icmA 題：特技演員問題（The Stunt）B 題：伽馬刀治療方案（Gamma Knife Treatment Planning）C 題：機(jī)場(chǎng)安檢問題（The

4、Airport Security Problem）04 年第 20 屆 mcm/第 6 屆 icmA 題：鑒別問題（Are Fingrs Unique?）*B 題：快速通道系統(tǒng)（A Faster Quick Pass System）C 題：安全性問題（The Inform. Tech. Security Problem）05 年第 21 屆 mcm/第 7 屆 icmA 題：洪水問題（Flood Planning）B 題：?jiǎn)栴}（Tollbooths）C 題：不可再生資源問題（The Exhaustible Resource Problem）06 年第 22 屆 mcm/第 8 屆 icmA 題

5、：灌溉系統(tǒng)（itioning and Moving Sprinkler Systems for Irrigation）B 題：機(jī)場(chǎng)輪椅通道（Wheelchair Acs at Airports）C 題：?jiǎn)栴}（The HIV/AIDSProblem）07 年第 23 屆 mcm/第 9 屆 icmA 題: 選區(qū)劃分（Gerrymandering）B 題: 航空登機(jī)問題（The Airplaating Problem）C 題：移植問題（an Transplant: The Kidney ExchangeProblem）08 年第 24 屆 mcm/第 10 屆 icmA 題:B 題:C 題:Tak

6、e a BathCreating Sudoku PuzzlesFinding the Good in Health Care Systems二、概括與建議1、AMgood insighto the Problem.ers can frequently gain creditability by demonstratingt they understand the problem in its context.（教師工資系統(tǒng)）Their sections on “Practical Considerations” and “What Characterizes a Good Evaluation

7、 Method” demonstrated a clearunderstanding of the problem.（分?jǐn)?shù)膨脹問題）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.（自行車問題）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.（通訊頻道分配）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統(tǒng)評(píng)價(jià)）s.（醫(yī)療系3、平衡意識(shí)：在理論與實(shí)際之間、宏觀把握與微觀分析之間以及此目標(biāo)與彼目標(biāo)之間 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問題）ut still relevant.（自行車4、一個(gè)全面、協(xié)調(diào)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、做外部資源的主人。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.（颶風(fēng)時(shí)問題）6、Simulation play an important rolehe Contest.7、給出結(jié)果不是終點(diǎn)。應(yīng)用模型、檢驗(yàn)?zāi)Ｐ团c給出模型同樣重要。Why do you think your m you compare/validate it?How sensitive is your myou have chosen? (sensitivityis goo