00-11年美賽mcm全部原題及翻譯

1、目錄2010大學(xué)生數(shù)學(xué)建模競賽和交叉學(xué)科建模競賽(ICM)賽目錄2010大學(xué)生數(shù)學(xué)建模競賽和交叉學(xué)科建模競賽(ICM)賽我國學(xué)生參加2010大學(xué)生數(shù)學(xué)建模競賽和交叉學(xué)科建模競賽(ICM)情賽區(qū)、學(xué)校簡2010 年湘豫鄂閩贛晉六省數(shù)學(xué)建模骨干教師研討會召附：部分參賽同學(xué)的體會大學(xué)生數(shù)學(xué)建模競賽通訊2010 年第2 期 (2010 年6 月, 總第33 期：數(shù)模競賽賽題選編(18)關(guān)于設(shè)立“2010 高教社大學(xué)生數(shù)學(xué)建模競創(chuàng)新獎大學(xué)生數(shù)學(xué)建模競賽通訊征稿啟事“工大正禾”杯西北工業(yè)大學(xué)第十一屆數(shù)學(xué)建模競賽通訊2010大學(xué)生數(shù)學(xué)建模競賽和交叉學(xué)科建模競賽(ICM)賽譯)（寶校，原題來源PROBLEMA

2、:ThetEvery hitter t there a spot on the fat part of a baseball bat er transferred to the ball when hit. Why isnt this of the bat? A simple explanation based t2010大學(xué)生數(shù)學(xué)建模競賽和交叉學(xué)科建模競賽(ICM)賽譯)（寶校，原題來源PROBLEMA:ThetEvery hitter t there a spot on the fat part of a baseball bat er transferred to the ball wh

3、en hit. Why isnt this of the bat? A simple explanation based t spot, but this is known to be torque might seem to incorrect.Developaof the bat as the thelpshisempiricalSomeplayerst “corking”abat (hollowingouta heheadof thebat andfilling with cork or rubber, then replacing a wood cap) the t spot” eff

4、ect. Augment your confirmordenythiseffect.DoesthisexplainwhyMajorLeagueBaseballprohibitsDoes the material out of whichthebatis constructed tis,does this predict behavior for wood (usually ash) or metal (usually aluminum) bats? Is this why Major League Baseball prohibits metal bats?(TheauthorofProble

5、mA,MichaelTortorellaofRutgersUniversity,wasalsooneofthefinalA題點(最佳擊球點)問點”問題每個擊球員都知道在每根棒球棒的粗胖部分有一點, 當(dāng)擊打到這一點時能把最大的力量傳遞到球上. 為什么這一點不在球棒的頂端呢? 點, 但是從經(jīng)驗看已經(jīng)知道這是不正確的. 建立一個數(shù)學(xué)模型來解釋這種從經(jīng)驗得到的結(jié)論有些球員相信“掏空”球棒(在球棒的頭部掏空出一個圓柱體并填進軟木或橡皮)蜜點”效果. 的模型以肯定或者否定這種效果. LeagueBaseball, 縮寫為這和制造球棒的材料有關(guān)嗎? 即, 對于木制(通常是堅硬的梣木)或金屬制(通常是鋁材)不

6、同的性態(tài)嗎? (A題作者為RutgersUniversity(組成員之一大學(xué), 新澤西州)的MichaelTortorella, PROBLEMB:In 1981 Peter liffe was convicted of thirteen murders and subjecting a number of eople vicious attacks. One of the methods used to narrow the search for Mr. liffe was to find a “center hesametownpredictedmass”ofthelocationsoft

7、hehe end, happenedtothis technique. t time, a of more sophisticated techniques have been developed edserialcriminalbasedonthelocationsofthedeterminethe“geographicalprofile”ofYour team has been asked by a agency to develop a method to heir of serial criminals. The t you develop should make use east t

8、wo different schemes generate a geographical profile. You should develop a technique to combine the results of the schemes and generate a useful prediction for law enforcement officers. The prediction should some kind of uidance sible locations of the next crime based on the time locations of the pa

9、st crime scenes. If you make use of any other evidence in your estimate, you must providespecificdetailsabout how youincorporatethe extrainformation.Your method should also provide some kind of estimate about how reliable the estimate will be in a given situation, including appropriate 1In addition

10、to the required onesummary, your report should include an additional two-executive summary. The executive summary should provide a broad overview of the potential es. should provide an overview of your approach and describe situations when it is an appropriate tool situations in which it is not an a

11、ppropriate tool. The executive summary will be read by a chief andshouldincludetechnicalIn addition to the required onesummary, your report should include an additional two-executive summary. The executive summary should provide a broad overview of the potential es. should provide an overview of you

12、r approach and describe situations when it is an appropriate tool situations in which it is not an appropriate tool. The executive summary will be read by a chief andshouldincludetechnicaldetailsappropriatetoended(TheProblemB,“Criminology”waswrittenbyMichaelOLearyofTowsonUniversityandBlackofClarkson

13、UniversitywhowerealsofinalB 題學(xué)(連環(huán)謀殺案)問1981 13 . 地點的“質(zhì)心”. 到嫌疑人恰好住在同一個城鎮(zhèn). 從此, 了一些基地點的更為復(fù)雜精細(xì)的技術(shù)的方法嫌疑人所在城鎮(zhèn)布局的概況生成有的方法點的對未的可能地點的某種估計或指導(dǎo)性建議. 如在估計中采用了任何其他必須提供怎樣把這些額外信息融入模型中去的具體細(xì)節(jié)給定情況下的估計的可靠性的某種估計還應(yīng)包括兩頁的實施概要. 除了所要求的一頁摘要外的題提出廣泛的概述. 恰當(dāng)?shù)墓ぞ? 的方法是不合適的工具將閱的實施概要, 實施要還要包括適合于預(yù)期受眾的技術(shù)細(xì)節(jié)(B 題作者為 Towson University陶森大學(xué), 馬

14、里蘭州的 Michael OLeary 和 森大學(xué), 紐約州)KellyBlack, 他們也是最終評閱組的成員ProblemC:TheGreatPacificOceanGarbageRecently,therehasbeenconsiderablenewscoverageofthe“GreatPacificOceanGarbageSeetheBased on recent scientific o the Pacific Ocean Gyre (a convergence here is accumulating), a wide variety of technical and scient

15、ific problems ted with this debris mass coming to light. While o the ocean is not a new activity, the scientific t much of the debris (plastics, in particular) are accumulating in high densities over a area of the Pacific Ocean is new. The scientific community also is t this debris creates potential

16、 threats to marine ecology, and, therefore, to human well-being. Those who study accumulationoftendescribeitasplasticsouporThis years ICM problem /news/2009/09/photogalleries/pacific-garbage-patch-erdisciplinary ing to addresses the complex es from the presence and accumulation of ocean debris, in o

17、rder to help researchers and ernmentpolicymakerstounderstandtheseverity,range,andpotentialglobalimpactoftheAs ing advisors to the expedition, your job is to focus on one element of this debris myze its behavior, and determine its potential effect on marine ecology and policies and t should be implem

18、ented to ameliorate its negative effects. Be sure to 2needs for future scientific research and the economic aspects of the problem, and then write a report your expedition leader summarizing your findings and als for solutions and needed policies .Someof siblees/questionsyoucouldinvestigatewithyour1

19、. What are the potential short- and long-term effects of the plastic on the ocean environment? What of monitoring is required to track needs for future scientific research and the economic aspects of the problem, and then write a report your expedition leader summarizing your findings and als for so

20、lutions and needed policies .Someof siblees/questionsyoucouldinvestigatewithyour1. What are the potential short- and long-term effects of the plastic on the ocean environment? What of monitoring is required to track the impact on the marine ecosystem? Be sure to account for andspatialvariability.Wha

21、tarethetedresourcing2. How can the extent, density and distribution of the he gyre be best understood and What kind of monitoring plan is required to track the growth/decay/movement of the plastics, and kindofresourcingisrequiredtot3. What is the nature or mechanism of the photodegradation of the pl

22、astic and its ition as it the ocean and he gyre? (For le, we are amazed to t the particles degradedplastictendtoreachasimilar4. Where does the plastic come from and what steps can be taken to control or reduce the risks with this situation? What are the economic costs and the economic benefits of co

23、ntrolling or ending situation, and how do they compare? How much plastic is manufactured, discarded, and recycled? muchtislikelytootheocean?Howmuchtislikelyto5. Could similar situations develop in he oceans? What should we monitor and how? is he Gyre and the Alaskan Gyre? Use your to estimate the he

24、hesoutherngyres,South6.Whatistheimmediateimpactofbanningpolystyrene)Whatistheimpactover1050ontainers?7. Any other scientific/technological e ted with this situation is also acceptable, as long mingisanimportantcomponentofyourinvestigationTo clarify your task, focus on one critical aspect of this pro

25、blem and the behavior of important matters or phenomena. Specify t are of greatest present or erest to one aspect you choose to yze. Your ICM report should he form of a tenreport to an expedition leader who has asked you to help her identify the relevant behaviors of the and phenomena under consider

26、ation, provide ysis for impact of the behavior of those matters phenomena, and advise her on beforeiternments potential to act on the problem to improve this ThefollowingfilescontainsomehelpfulCountDensity19992009.pdf;Moore2001.pdf;YamashitaHerearesomesuggestedrsyoucanusetoinformyourformulationandor

27、e Note:Asareminder,itisbesttosticktotheerature,notthemediacoverage,foryourThemainstreammediacoverageofthisexplanation,ehasbeenanycases.For HYPERLINK http:/s/ Committee on the Effectiveness ernational and National Measures to Prevent and Reduce Debris and Its Impacts (National Research Council). (200

28、9). Tackling Marine he 21st NationalAcademiesPress,WashingtonDameron, O.J., Parke, M., Albins M.A., and Brainard R. (2007). Marine debris Northwestern Hawaiian Islands: An examination of rates and proses. Marine Pollution Bulletin, Derraik, J.G.B. (2002). The pollution of the marine environment by p

29、lastic debris: a review. 3PollutionBulletin,Matsumura, S., and Nasu, K. (1997). Distribution of floating he north Pacific Ocean: surveys 19861991. In: Coe, J. and Rogers, D. (eds.). Marine Debris: Springer,NewYork,pp., Impacts and Moore, C.J., Moore, S.L., Leecaster, M.K., and Weisberg, S.B. (2001).

30、 A comparison of plastic heNorthPacificcentralPollutionBulletin,Matsumura, S., and Nasu, K. (1997). Distribution of floating he north Pacific Ocean: surveys 19861991. In: Coe, J. and Rogers, D. (eds.). Marine Debris: Springer,NewYork,pp., Impacts and Moore, C.J., Moore, S.L., Leecaster, M.K., and We

31、isberg, S.B. (2001). A comparison of plastic heNorthPacificcentralgyre.MarinePollutionBulletin,Pichel, W.G., Churnside, J.H., Veenstra, T.S., Foley, D.G., Friedman, K.S., Brainard, R.E., Nicoll, J.B., Zheng, Q., and Clemente-Colon, P. (2007). Marine debris collects with he North Pacific Subtropical

32、Convergence Zone. Marine Pollution Bulletin, 54:12071211.Robards, Robards, M.D., Gould, P., Platt, J. (1997). The highest global concentrations and abundance of oceanic plastic he North Pacific: evidence from seabirds. In: Coe J. and Rogers, (eds.)MarineDebris:,ImpactandSolutions.Springer,NewYork,pp

33、.Venrick, E.L., Backman, T.W., Bartram, W.C., Platt, C.J., Thornhill, M.S., and Yates, R.E. Manmadeobjectsonthesurfaceofthecentralnorthpacificocean.Nature,Yamashita, R., Tanimura, A. (2007). Floating Ocean.MarinePollutionBulletin,he Kuroshio Current area, western North (TheauthoroftheproblemwasMiria

34、mGoldstein,ScrippsInstituteofOceanography,CA,andproblemoriginatedfromherownalC題: 大太平帶最近有大量有關(guān)“帶”.:基于最近對太平洋環(huán)流正在積聚的匯聚區(qū))的多次科學(xué)探險, 與這來為人所知. 不是什么新鮮事, 為大部分正在太平洋上大面積區(qū)域中高密度積聚卻是新問題. 科學(xué)界還得知這對海生態(tài), 從而對人類福祉造成了許多潛在的. /news/2009/09/photogalleries/pacific-garbage-patch-決策者了解海匯聚問題的嚴(yán)重性、匯聚的范圍以這種情況會產(chǎn)生的潛在的全球影響, 是要通過跨學(xué)科的建模

35、的出現(xiàn)和匯聚而產(chǎn)生的復(fù)雜問題的任務(wù)是集中考慮這個問題中的一隊的顧問, 建模并分析其性態(tài), 影響應(yīng)該執(zhí)行的實際行動的影響. 來科學(xué)研究的需要和這種特定環(huán)境所產(chǎn)生的經(jīng)濟影響, 隊隊長寫一們的結(jié)論以及提出解決問題的方法、所需要的政策和實際行動的建議. /疑問包括對海洋環(huán)境潛在的長期和短期效應(yīng)? 需要什么樣的監(jiān)測來追蹤其對海洋生態(tài)的影響一定要考慮時間和空間位置的易變性有關(guān)的資源配置需求所占的范圍, 其密度和分布? 的增長/衰減/運動, 以及需要什么樣的資源來執(zhí)行這種計劃進入海洋時的復(fù)合過程和在環(huán)流中的匯聚的本質(zhì)或機理?(例如4顆粒趨于類似的大小? 么是控制或結(jié)束這種特定環(huán)境的經(jīng)濟代價和經(jīng)濟效益, 以及

36、怎樣對他們進行比較? 有多少制造出來、丟棄和回收了? 它們中大概有多少進入到海洋? 大概有多少漂浮在海上?在海洋的其他地方可能發(fā)展類似的情形嗎和阿拉斯加環(huán)流正在發(fā)生什么情形? 應(yīng)該監(jiān)測什么以及怎樣監(jiān)測? 的模型來估計南部環(huán)流(和南太平洋)的稠密程度使用的聚苯乙烯外賣容器1050年的影響是什么polystyrene ontainers)的立即影響? (參見與這種特定環(huán)境有關(guān)的其他科學(xué)技術(shù)問題的建模和分析也是可以接受的, 只要建模是的任務(wù), 集中考慮本問題中的一個關(guān)鍵的方面, 并對重要的事情或現(xiàn)建模. 選擇來建模的一個方面的對現(xiàn)在和將來最顆粒趨于類似的大小? 么是控制或結(jié)束這種特定環(huán)境的經(jīng)濟代價和

37、經(jīng)濟效益, 以及怎樣對他們進行比較? 有多少制造出來、丟棄和回收了? 它們中大概有多少進入到海洋? 大概有多少漂浮在海上?在海洋的其他地方可能發(fā)展類似的情形嗎和阿拉斯加環(huán)流正在發(fā)生什么情形? 應(yīng)該監(jiān)測什么以及怎樣監(jiān)測? 的模型來估計南部環(huán)流(和南太平洋)的稠密程度使用的聚苯乙烯外賣容器1050年的影響是什么polystyrene ontainers)的立即影響? (參見與這種特定環(huán)境有關(guān)的其他科學(xué)技術(shù)問題的建模和分析也是可以接受的, 只要建模是的任務(wù), 集中考慮本問題中的一個關(guān)鍵的方面, 并對重要的事情或現(xiàn)建模. 選擇來建模的一個方面的對現(xiàn)在和將來最幫助她識別所考慮的事情和現(xiàn)象的相關(guān)行為和性態(tài)

38、)10 頁的小組下面的幾個文件包含了一些有用的數(shù)據(jù)CountDensity19992009.pdf;Moore2001.pdf;Yamashita,可以讀一下的文章的數(shù)據(jù).注意: 這里要提醒 HYPERLINK http:/s/ , 所需要的確切事實, 曾經(jīng)起到了誤導(dǎo)的作用. 進一步的說明, 參見he-Moore, C.J., Moore, S.L., Leecaster, M.K., and Weisberg, S.B. (2001). A comparison of plastic he North Pacific central gyre(在北太平洋中心環(huán)流和浮游生物的比較). Poll

39、utionBulletin(海洋污染通報Yamashita, R., Tanimura, A. (2007). Floating he Kuroshio Current area, western North Ocean(西北太平洋黑區(qū)域中漂浮).MarinePollutionBulletin,(C題作者為CollegeofRose,NY(學(xué)院, 紐約州)Kathleen Crowley, 2010共有中國(2010259日舉行)14個國家和地區(qū)的大學(xué)生參加了這項競賽2610 , MCM2254 個隊, ICM 356 個隊. 2186 個隊參賽. 16個中學(xué)隊參賽. 15個隊未獲獎. 10個

40、隊獲MCM-2010的特等獎. 4ICM-2010獎. MCM-2010 的特等獎ICM-的特等獎. 今年增加了名為特等獎入圍獎的獎項. 單獨列為該地區(qū)進行統(tǒng)計的參賽隊數(shù)5表一 2010 中國學(xué)生獲獎情況統(tǒng)大學(xué)生數(shù)學(xué)建模競賽結(jié)果統(tǒng)說明OutstandingWinners, MeritoriousWinners, Honorable成功參賽 sfulParticipants, 未成功參賽sful表二、2010 年 MCM/ICM 中國參賽隊獲獎詳細(xì)列6學(xué)校（中文學(xué)校（英文A題B題C題兵AcademyofarmoredforceHChongqingUniv.of ArtsandChongqingJ

41、iaotongChongqing MinzuUniversityofPiv.ofFinanceandSunMCentralZhongnanUniv.ofEconomicsand中國表一 2010 中國學(xué)生獲獎情況統(tǒng)大學(xué)生數(shù)學(xué)建模競賽結(jié)果統(tǒng)說明OutstandingWinners, MeritoriousWinners, Honorable成功參賽 sfulParticipants, 未成功參賽sful表二、2010 年 MCM/ICM 中國參賽隊獲獎詳細(xì)列6學(xué)校（中文學(xué)校（英文A題B題C題兵AcademyofarmoredforceHChongqingUniv.of ArtsandChongq

42、ingJiaotongChongqing MinzuUniversityofPiv.ofFinanceandSunMCentralZhongnanUniv.ofEconomicsand中國China ChinaUniversityofHChina 中大學(xué)中歐航Sino-EuropeanInstituteofM中大CivilAviationUniversityofChinaUniv. ofMining andUniv.ofScienceandTech.ofChina JiliangOceanUniversityofChinaUniv.ofiversityofPZhengzhouPM浙學(xué)Wanli

43、PForestryPHUniv.ofScienceandHHM234263387UniversityofGongshangUniv.ofFinanceandPPZaozhuangMPYUNNAN徐學(xué)XuzhouAirForceH徐州建學(xué)XuzhouInstituteofArchitecturalPPXuzhouInstituteofPThe Univ.ofScienceandMBaptist HCity Univ PPPHSouthwestPetroleumMSouthwestUniversityforSouthwestUniv.ofScienceandSouthwestJiaotongSou

44、thwestMSouthwesternUniv.ofFinance&NorthwestA&FHPNorthwestUniversityforPNorthwestern學(xué)大7UniversityofGongshangUniv.ofFinanceandPPZaozhuangMPYUNNAN徐學(xué)XuzhouAirForceH徐州建學(xué)XuzhouInstituteofArchitecturalPPXuzhouInstituteofPThe Univ.ofScienceandMBaptist HCity Univ PPPHSouthwestPetroleumMSouthwestUniversityfor

45、SouthwestUniv.ofScienceandSouthwestJiaotongSouthwestMSouthwesternUniv.ofFinance&NorthwestA&FHPNorthwestUniversityforPNorthwestern學(xué)大NorthwestUniv.&aiP XianCommunication西安交大-XianJiaotong-XianJiaotongPXidianWuhan WestAnhuiTongjiTianjinUniv.ofCommerceinTianjinUniv.ofScienceandPPTianjinUniv.ofTech.andTia

46、njinTaiyuanUniversityofPSichuanSichuan Piv.ofEcon.and8Instituteof AeronauticalUniversityofPPPShenzhenShenzhenShaoxing MSHANGHAIFOREIGNShanghaiYucaiHigh Shanghai ShanghaiFinanceHShanghaiJiaotongShanghaiJiadingNo.1SeniorShanghai PShanghai Univ.of Finance andShaanxi Univ. of Science andPShanxiHUniversi

47、tyofPUniv.of Science andEconomicPChinaThreeesPRenminUniversityofQuanzhouMQujingPTsinghuaHP8Instituteof AeronauticalUniversityofPPPShenzhenShenzhenShaoxing MSHANGHAIFOREIGNShanghaiYucaiHigh Shanghai ShanghaiFinanceHShanghaiJiaotongShanghaiJiadingNo.1SeniorShanghai PShanghai Univ.of Finance andShaanxi

48、 Univ. of Science andPShanxiHUniversityofPUniv.of Science andEconomicPChinaThreeesPRenminUniversityofQuanzhouMQujingPTsinghuaHPMNantong aiPNanjingUniversityts PNanjing Nanjing PNanjingUniversityofSci. &PNanjingUniversityofAeronauticsPNanjing HNanjingUniv.ofFinanceandHNanchangHangkongMNanchang 大Inner

49、MongoliaPP9財經(jīng)學(xué)InnerMongoliaFinanceEconomicsHLudongHLiaoningP PLAUniversityofScienceandJiangxiUniversityofScienceandPJiangxiUniv. ofFinance andXuzhouNo.1HighSchoolofHJiang SuMJinan JilinInstituteofChemicalJilinHuizhouCentralChinaPHuazhongP技大HuazhongUnivofScienceandSouth ChinaSouthChinaAgricultureSout

50、hChinaUniversityofHEastChinaEastChina9財經(jīng)學(xué)InnerMongoliaFinanceEconomicsHLudongHLiaoningP PLAUniversityofScienceandJiangxiUniversityofScienceandPJiangxiUniv. ofFinance andXuzhouNo.1HighSchoolofHJiang SuMJinan JilinInstituteofChemicalJilinHuizhouCentralChinaPHuazhongP技大HuazhongUnivofScienceandSouth Chi

51、naSouthChinaAgricultureSouthChinaUniversityofHEastChinaEastChinaUniversityofScienceNorthChinaeran HengshuiPHeilongjiangHenanMPHenanInstituteofScienceandHenanUniv.ofFinanceandHebeiPolytechnicHeBeiUniversityofPHefeiUniversityofHHangzhouDianziNavalAeronautical andDaliannavalHarbinUniversityofHarbinUniv

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