美国数学建模竞赛题目

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1、MCMandICMProblems(1)官方网站http://www.comap.com/index.html(2)历年MCM赛题、中英文翻译、论文下载http://www.madio.net/mcm.htm2006A-PositioningandMovingSprinklerSystemsforIrrigationThereareawidevarietyoftechniquesavailableforirrigatingafield.Thetechnologiesrangefromadvanceddripsystemstoperiod

2、icflooding.Oneofthesystemsthatisusedonsmallerranchesistheuseof"handmove"irrigationsystems.Lightweightaluminumpipeswithsprinklerheadsareputinplaceacrossfields,andtheyaremovedbyhandatperiodicintervalstoinsurethatthewholefieldreceivesanadequateamountofwater.Thistypeofirriga

3、tionsystemischeaperandeasiertomaintainthanothersystems.Itisalsoflexible,allowingforuseonawidevarietyoffieldsandcrops.Thedisadvantageisthatitrequiresagreatdealoftimeandefforttomoveandsetuptheequipmentatregularintervals.Giventhatthistypeofirrigationsystemistobeused,howcani

4、tbeconfiguredtominimizetheamountoftimerequiredtoirrigateafieldthatis80metersby30meters?Forthistaskyouareaskedtofindanalgorithmtodeterminehowtoirrigatetherectangularfieldthatminimizestheamountoftimerequiredbyaranchertomaintaintheirrigationsystem.Onepipesetisusedinthefield

5、.Youshoulddeterminethenumberofsprinklersandthespacingbetweensprinklers,andyoushouldfindascheduletomovethepipes,includingwheretomovethem.Apipesetconsistsofanumberofpipesthatcanbeconnectedtogetherinastraightline.Eachpipehasa10cminnerdiameterwithrotatingspraynozzlesthathave

6、a0.6cminnerdiameter.Whenputtogethertheresultingpipeis20meterslong.Atthewatersource,thepressureis420Kilo-Pascal’sandhasaflowrateof150litersperminute.Nopartofthefieldshouldreceivemorethan0.75cmperhourofwater,andeachpartofthefieldshouldreceiveatleast2centimetersofwaterevery

7、4days.Thetotalamountofwatershouldbeappliedasuniformlyaspossible.2006B-WheelChairAccessatAirportsOneofthefrustrationswithairtravelistheneedtoflythroughmultipleairports,andeachstopgenerallyrequireseachtravelertochangetoadifferentairplane.Thiscanbeespeciallydifficultforpeop

8、lewhoarenotabletoeasilywalktoadifferentflight'swaitingarea.Oneofthewaysthatanairlinecanmakethetransitio