美国数学建模比赛-特等奖论文--MCM.pdf

The LATEX Template for MCMWzlf11February 4,2009AbstractBut they also provided an early glimpse at the complex set of tradeoffsfacing party leaders,from their desire to make their own influence felt totheir worries about offending the candidates and particular constituenciesnot to mention the long,sometimes troubled relationship between Mr.Goreand the Clintons.The issues party leaders are grappling with,they said,include how toavoid the perception of a back-room deal that thwarts the will of millionsof voters who have cast ballots in primaries and caucuses.That perceptioncould cripple the eventual Democratic nominees chances of winning thepresidency in November,they said.ContentsAbstract.11Introduction.31.1 Other Assumptions.42Analysis of the Problem.43Calculating and Simplifying the Model.54The Model Results.55Validating the Model.66Conclusions.67A Summary.68Evaluate of the Mode.79Strengths and weaknesses.79.1 Strengths.7References.7Appendix.72page3 of 13Team#.1IntroductionShe said the nomi-nationshouldnotbede-cidedbydelegatesfromFloridaandMichiganal-located on the basis ofvotinginprimariestherelast month,as the Clin-ton campaign has pro-posed.Mrs.Clintongot more votes in bothplaces,althoughneithercandidate actively cam-paigned there and Mr.Obamawasnotevenonthe ballot in Michigan.Thepartyhadpenalizedthose states for holding3210123202505xPeaksyFig 1:The figuretheirprimariesearlierthanthepartywantedbystrippingthemoftheirdelegatesto the convention.Although Mr.Gore has expressed concerns to some associatesabout the damage a brokered convention could cause,several associates said hewas hopeful that one candidate would soon break through,sparing the partysuch an outcome.He told a close friend recently that his decision not to endorsefeels like the right thing and that he remained optimistic the race is going to tipat some point,the friend said.Although Mr.Gore has expressed concerns to some associates about thedamage a brokered convention could cause,several associates said he was hope-ful that one candidate would soon break through,sparing the party such an out-come.He told a close friend recently that his decision not to endorse feels likethe right thing and that he remained optimistic the race is going to tip at somepoint,the friend said.is constant.do not affect the population.have no effect on.we can ignore it.is negligible3page4 of 13Team#.1.1Other AssumptionsAlthough Mr.Gore has expressed concerns to some associates about thedamage a brokered convention could cause,several associates said he was hope-ful that one candidate would soon break through,sparing the party such an out-come.He told a close friend recently that his decision not to endorse feels likethe right thing and that he remained optimistic the race is going to tip at somepoint,the friend said.Under the above and basic assumptions,we can set out to construct our model(show our approach in detail).2Analysis of the Problem3210123202505xPeaksyFig 2:aa4page5 of 13Team#.Although Mr.Gore has expressed concerns to some associates about thedamage a brokered convention could cause,several associates said he was hope-ful that one candidate would soon break through,sparing the party such an out-come.He told a close friend recently that his decision not to endorse feels likethe right thing and that he remained optimistic the race is going to tip at somepoint,the friend said.a11a12a13a21a22a23a31a32a33=OppositeHypotenusecos1arcsinAlthough Mr.Gore has expressed concerns to some associates about the damagea brokered convention could cause,several associates said he was hopeful thatone candidate would soon break through,sparing the party such an outcome.He told a close friend recently that his decision not to endorse feels like the rightthing and that he remained optimistic the race is going to tip at some point,thefriend said.pj=(0,if j is oddr!(1)j/2,if j is evenAlthough Mr.Gore has expressed concerns to some associates about the damagea brokered convention could cause,several associates said he was hopeful thatone candidate would soon break through,sparing the party such an outcome.He told a close friend recently that his decision not to endorse feels like the rightthing and that he remained optimistic the race is going to tip at some point,thefriend said.arcsin=ZZZKlimxn!r!(nr)!(1)3Calculating and Simplifying the Model“A is equivalent to B”Although Mr.Gore has expressed concerns to some as-sociates about the damage a brokered convention could cause,several associatessaid he was hopeful that one candidate would soon break through,sparing theparty such an outcome.He told a close friend recently that his decision notto endorse feels like the right thing and that he remained optimistic the race isgoing to tip at some point,the friend said.4The Model ResultsAlthough Mr.Gore has expressed concerns to some associates about thedamage a brokered convention could cause,several associates said he was hope-5page6 of 13Team#.ful that one candidate would soon break through,sparing the party such an out-come.He told a close friend recently that his decision not to endorse feels likethe right thing and that he remained optimistic the race is going to tip at somepoint,the friend said.5Validating the ModelAlthough Mr.Gore has expressed concerns to some associates about thedamage a brokered convention could cause,several associates said he was hope-ful that one candidate would soon break through,sparing the party such an out-come.He told a close friend recently that his decision not to endorse feels likethe right thing and that he remained optimistic the race is going to tip at somepoint,the friend said.Although Mr.Gore has expressed concerns to some asso-ciates about the damage a brokered convention could cause,several associatessaid he was hopeful that one candidate would soon break through,sparing theparty such an outcome.He told a close friend recently that his decision notto endorse feels like the right thing and that he remained optimistic the race isgoing to tip at some point,the friend said.Although Mr.Gore has expressed concerns to some associates about thedamage a brokered convention could cause,several associates said he was hope-ful that one candidate would soon break through,sparing the party such an out-come.He told a close friend recently that his decision not to endorse feels likethe right thing and that he remained optimistic the race is going to tip at somepoint,the friend said.6ConclusionsAlthough Mr.Gore has expressed concerns to some associates about thedamage a brokered convention could cause,several associates said he was hope-ful that one candidate would soon break through,sparing the party such an out-come.He told a close friend recently that his decision not to endorse feels likethe right thing and that he remained optimistic the race is going to tip at somepoint,the friend said.7A SummaryAlthough Mr.Gore has expressed concerns to some associates about thedamage a brokered convention could cause,several associates said he was hope-ful that one candidate would soon break through,sparing the party such an out-come.He told a close friend recently that his decision not to endorse feels likethe right thing and that he remained optimistic the race is going to tip at somepoint,the friend said.6page7 of 13Team#.8Evaluate of the Mode9Strengths and weaknessesLike any model,the one present above has its strengths and weaknesses.Some of the major points are presented below.9.1Strengths Applies widelyThis system can be used for many types of airplanes,and it also solves theinterference during the procedure of the boarding airplane,as describedabove we can get to the optimization boarding time.We also know that allthe service is automate.Improve the quality of the airport serviceBalancing the cost of the cost and the benefit,it will bring in more conve-nient for airport and passengers.It also saves many human resources forthe airline.References1 D.E.KNUTH“The TEXbook”the American Mathematical Society andAddisonCWesley Publishing Company,1984-1986.2 Lamport,Leslie,LATEX:“A Document Preparation System”,Addison-Wesley Publishing Company,1986.Appendix AHere are simulation programmes we used in our model as follow.Input matlab source:function t,seat,aisle=OI6Sim(n,target,seated)%OI6%n%target%seated%t simulation time%seat,seat interference%aisle,aisle interference7page8 of 13Team#.%Initial data%setting passengers Value:%walking.1%waiting.2%putting luggage.3%passing the seat.4%sitting.0%on initial time,everyone is waiting,except the first oneseat=0;aisle=0;status=2ones(1,n);status(1)=1;%0.6 rowpos=(0:0.6:(n1)0.6);pri=1,1:n1;next=2:n,1;RowSpeed=trirnd(0.6,0.95,1.3,1,n);pab=rand(1,n);for i=1:nif pabi)0&abs(status(next(i)2)0&abs(status(next(i)2)0.1status(next(i)=1;endpos(i)=pos(i)+RowSpeed(i)0.1;if abs(pos(i)target(1,i)0.2status(i)=3;if abs(aisleTime(i)0&abs(status(next(i)1)0&abs(status(next(i)1)0.1status(next(i)=2;endcase 3%put luggageaisle interferencedisp(aisle interference);if abs(aisleTime(i)0.01ifn=12&target(2,i)=1&seated(target(1,i),2)=1status(i)=4;seat=seat+1;elseifn=12&target(2,i)=4&seated(target(1,i),3)=1status(i)=4;seat=seat+1;else9page10 of 13Team#.status(i)=0;seated(target(1,i),target(2,i)=1;endelseaisleTime(i)=aisleTime(i)0.1;endcase 4%seat interferenceif abs(aisleTime(i)0.01%status(i)=0;seated(target(1,i),target(2,i)=1;elseseatTime(i)=seatTime(i)0.1;endend%switchend%forend%whileInput C+source:/=/Name:Sudoku.cpp/Author:wzlf11/Version:a.0/Copyright:Your copyright notice/Description:Sudoku in C+./=#include#include#include using namespace std;int table 99;void shuffle(int arr,int n)int tmp,rd;/10page11 of 13Team#.for(int i=0;i n;i+)rd=rand()%9;tmp=arrrd;arrrd=arri;arri=tmp;bool test(int x,int y,int v)intx=x/3 3;inty=y/3 3;/3 3for(int i=x;i x+3;i+)for(int j=y;j y+3;j+)if(tablei j=v)return false;/for(int m=0;m 8)return true;/0if(tablelineindex!=0)return put(line,index+1);int num=1,2,3,4,5,6,7,8,9;/shuffle(num,9);for(int i=0;i 8)return true;int b9;/for(int i=0;i 9;i+)bi=tablelinei;if(put(line,0)=true)/if(put line(line+1)=true)return true;/for(int n=0;n 9;n+)tablelinen=bn;return false;int main()/for(int i=0;i 9;i+)table 0 i=i+1;srand(unsigned int)time(NULL);/shuffle(int)&table0,9);12page13 of 13Team#./while(!put line(1)/shuffle(int)&table0,9);/for(int x=0;x 9;x+)for(int y=0;y 9;y+)cout tablexy ”;cout endl;return 0;13