美国数学建模比赛特等奖论文MCM.docx

美国数学建模比赛特等奖论文MCM.docx

《美国数学建模比赛特等奖论文MCM.docx》由会员分享，可在线阅读，更多相关《美国数学建模比赛特等奖论文MCM.docx（26页珍藏版）》请在冰豆网上搜索。

美国数学建模比赛特等奖论文MCM

TheLATEXTemplateforMCM

Wzlf11

February4,2009

Abstract

Buttheyalsoprovidedanearlyglimpseatthecomplexsetoftradeoffs

facingpartyleaders,fromtheirdesiretomaketheirowninfluencefeltto

theirworriesaboutoffendingthecandidatesandparticularconstituencies

nottomentionthelong,sometimestroubledrelationshipbetweenMr.Gore

andtheClintons.

Theissuespartyleadersaregrapplingwith,theysaid,includehowto

avoidtheperceptionofaback-roomdealthatthwartsthewillofmillions

ofvoterswhohavecastballotsinprimariesandcaucuses.Thatperception

couldcrippletheeventualDemocraticnomineeschancesofwinningthe

presidencyinNovember,theysaid.

Contents

Abstract.....................................................................................1

1Introduction.......................................................................3

1.1OtherAssumptions...........................................................

4

2

3

4

5

6

7

8

9

AnalysisoftheProblem....................................................

CalculatingandSimplifyingtheModel............................

TheModelResults..............................................................

ValidatingtheModel..........................................................

Conclusions........................................................................

ASummary.......................................................................

EvaluateoftheMode.........................................................

Strengthsandweaknesses..................................................

9.1Strengths.........................................................................

4

5

5

6

6

6

7

7

7

References.................................................................................7

Appendix..................................................................................7

2

page3of13

Team#...

1

Introduction

Shesaidthenomi-

nationshouldnotbede-

cidedbydelegatesfrom

FloridaandMichiganal-

locatedonthebasisof

votinginprimariesthere

lastmonth,astheClin-

toncampaignhaspro-

posed.Mrs.Clinton

gotmorevotesinboth

places,althoughneither

5

0

−5

Peaks

candidateactivelycam-

paignedthereandMr.

Obamawasnotevenon

theballotinMichigan.

2

0

y

−2

−3

−2

−1

x

0

1

2

3

Thepartyhadpenalized

thosestatesforholding

Fig1:

Thefigure

theirprimariesearlierthanthepartywantedbystrippingthemoftheirdelegates

totheconvention.AlthoughMr.Gorehasexpressedconcernstosomeassociates

aboutthedamageabrokeredconventioncouldcause,severalassociatessaidhe

washopefulthatonecandidatewouldsoonbreakthrough,sparingtheparty

suchanoutcome.Hetoldaclosefriendrecentlythathisdecisionnottoendorse

feelsliketherightthingandthatheremainedoptimistictheraceisgoingtotip

atsomepoint,thefriendsaid.

AlthoughMr.Gorehasexpressedconcernstosomeassociatesaboutthe

damageabrokeredconventioncouldcause,severalassociatessaidhewashope-

fulthatonecandidatewouldsoonbreakthrough,sparingthepartysuchanout-

come.Hetoldaclosefriendrecentlythathisdecisionnottoendorsefeelslike

therightthingandthatheremainedoptimistictheraceisgoingtotipatsome

point,thefriendsaid.

·...isconstant.

·donotaffectthepopulation.

·havenoeffecton....wecanignoreit.

·...isnegligible

·

·

·

3

page4of13

Team#...

1.1

OtherAssumptions

AlthoughMr.Gorehasexpressedconcernstosomeassociatesaboutthe

damageabrokeredconventioncouldcause,severalassociatessaidhewashope-

fulthatonecandidatewouldsoonbreakthrough,sparingthepartysuchanout-

come.Hetoldaclosefriendrecentlythathisdecisionnottoendorsefeelslike

therightthingandthatheremainedoptimistictheraceisgoingtotipatsome

point,thefriendsaid.

·

·

·

·

Undertheaboveandbasicassumptions,wecansetouttoconstructourmodel

（showourapproachindetail）.

2

AnalysisoftheProblem

Peaks

5

0

−5

2

0

y

−2

−3

−2

−1

x

0

1

2

3

Fig2:

aa

4

page5of13

Team#...

AlthoughMr.Gorehasexpressedconcernstosomeassociatesaboutthe

damageabrokeredconventioncouldcause,severalassociatessaidhewashope-

fulthatonecandidatewouldsoonbreakthrough,sparingthepartysuchanout-

come.Hetoldaclosefriendrecentlythathisdecisionnottoendorsefeelslike

therightthingandthatheremainedoptimistictheraceisgoingtotipatsome

point,thefriendsaid.

a11a12a13

Hypotenu