2016年美国大学生数学建模竞赛题论文.pdf

《2016年美国大学生数学建模竞赛题论文.pdf》由会员上传分享，免费在线阅读，更多相关内容在教育资源-天天文库。

1、TeamControlNumberForofficeuseonlyForofficeuseonly52557T1________________F1________________T2________________F2________________ProblemChosenT3________________F3________________T4________________EF4________________2016MCM/ICMSummarySheet(Yourteam'ssummaryshouldbeincludedasthefirst

2、pageofyourelectronicsubmission.)Typeasummaryofyourresultsonthispage.Donotincludethenameofyourschool,advisor,orteammembersonthispage.ModelofdemandandsupplyofwaterresourcesSummaryInthispaper,amodelisestablishedtoprovideameasureoftheabilityofaregiontoprovidecleanwatertomeettheneeds

3、ofitspopulation,andfindoutthereasonforthelackofwaterresources.Specifictasksareasfollows:ForTask1:Intheproposedmodel,wethinkthesupplyofcleanwaterdependsontheamountofsurfacewater,undergroundwaterandsewagepurification.Thewaterrequirementsaredecidedbytheamountoflifewater,agricultura

4、lwaterandindustrialwaterintheregion.Inwatersupply,surfacewaterisaffectedbytheannualaveragetemperature,annualaverageprecipitationandforestcoveragerate.Thegroundwaterisimpactedbytheannualaveragetemperature,annualaverageprecipitation.Theagriculturalwaterisaffectedbythepopulationoft

5、heregionandannualaverageprecipitation.TheGDPoftheregioninfluencestheindustrialwaterconsumption.Weusetheprincipleofmultivariatenonlinearregressiontofindouttheregressioncoefficient.Andthenmakesureitsfunction.Theratioofwatersupplyandwaterrequirementsisusedasameasureoftheabilityofar

6、egiontoprovidecleanwater.Wefindthattheabilityofaregiontoprovidecleanwaterisgoodornotbycomparingtheratiowith1.ForTask2:ThemodelselectstheShandongProvinceofChinaasthetestingregion.WeanalyzethedataofChina'sShandongareabetween2005and2014,andthencrystallizethemodelthroughthethoughtof

7、thefunctionfittingandmultivariatenonlinearregression.Bythemodel,wethinkShandongprovince'sabilitytoprovidecleanwaterisweak.Andthenfromtwoaspectswhichphysicalshortageandshortageofeconomic,thispaperanalysesthecausesofwatershortageinShandongProvince,andthustesttheapplicabilityofthem

8、odel.ForTask3:Weselectseveralfactorsaffectingwa