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时间:2018-12-27
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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
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