供应与选址问题

技术官员村位于位于亚运城东部，主干道二以东石楼涌以西的地块，占地面积、m2，总建筑面积、m2，共包括地下室南区、地下室北区、地上部分1栋～12栋、服务中心、室外工程等多个单体工程。其中住宅面积m2，共12栋，1～7栋建筑层数为11层，8～12栋11层（局部复式顶层），首层局部架空，布置公建配套设施。integratedenergy,chemicalsandtextileYibincity,arethethreecorepillarsoftheindustry.In2014,thewuliangyebrandvalueto73.58billionyuan,thecity'sliquorindustrysliptostabilise.Promotingdeepdevelopmentofintegratedenergy,advancedequipmentmanufacturingindustry,changningdistrict,shalegasproductioncapacityreached277millioncubicmetres,builtthecountry'sfirstindependenthigh-yieldwellsandpipelinesinthefirstsection,theleadinfactoryproductionandsupplytothepopulation.2.1-3GDPgrowthfigure2.1-4Yibin,Yibincity,Yibincity,fiscalrevenuegrowth2.1.4topographyterrainoverallisSouthwest,North-EasternState.Lowmountainsandhillsinthecitylandscapeasthemainridge-and-Valley,pingbasmallfragmentednaturepictureforwaterandthesecondlandofthesevenhills.236metersto2000metersabovesealevelinthecity,lowmountain,46.6%hills45.3%,pingbaonly8.1%.2.1.5developmentofYibinlandscapesanddistinctivefeatureinthecenterofthecity,withlimitations,andspatialstructureoftypicalzonalgroup,2012-citiesinbuildingwithanareaofabout76.2km2.Fromcity-buildingsituation,oldtown-theSouthBankCenterconstructionislaggingbehind,disintegrationoftheoldcityisslow,optimizationandupgrading,qualitypublicserviceresourcesarestillheavilyconcentratedintheoldtowntogether.SouthbankCentrehasnotbeenformed,functionsoftheserviceareaspaceismissing.Meanwhile,peripheralgroupcentresservicewasweakandinadequateaccountingforcitydevelopment,suspiciouspatterncouldnotbeformed.Asregardstransport,withtheoutwardexpansionofcities,citieshavebeenexpanding,centripetalcitytrafficorganizationhasnotchanged,integratedenergy,chemicalsandtextileYibincity,arethethreecorepillarsoftheindustry.In2014,thewuliangyebrandvalueto73.58billionyuan,thecity'sliquorindustrysliptostabilise.Promotingdeepdevelopmentofintegratedenergy,advancedequipmentmanufacturingindustry,changningdistrict,shalegasproductioncapacityreached277millioncubicmetres,builtthecountry'sfirstindependenthigh-yieldwellsandpipelinesinthefirstsection,theleadinfactoryproductionandsupplytothepopulation.2.1-3GDPgrowthfigure2.1-4Yibin,Yibincity,Yibincity,fiscalrevenuegrowth2.1.4topographyterrainoverallisSouthwest,North-EasternState.Lowmountainsandhillsinthecitylandscapeasthemainridge-and-Valley,pingbasmallfragmentednaturepictureforwaterandthesecondlandofthesevenhills.236metersto2000metersabovesealevelinthecity,lowmountain,46.6%hills45.3%,pingbaonly8.1%.2.1.5developmentofYibinlandscapesanddistinctivefeatureinthecenterofthecity,withlimitations,andspatialstructureoftypicalzonalgroup,2012-citiesinbuildingwithanareaofabout76.2km2.Fromcity-buildingsituation,oldtown-theSouthBankCenterconstructionislaggingbehind,disintegrationoftheoldcityisslow,optimizationandupgrading,qualitypublicserviceresourcesarestillheavilyconcentratedintheoldtowntogether.SouthbankCentrehasnotbeenformed,functionsoftheserviceareaspaceismissing.Meanwhile,peripheralgroupcentresservicewasweakandinadequateaccountingforcitydevelopment,suspiciouspatterncouldnotbeformed.Asregardstransport,withtheoutwardexpansionofcities,citieshavebeenexpanding,centripetalcitytrafficorganizationhasnotchanged,实验九供应与选址问题【实验目的】1．了解非线性规划问题的基本概念和求解方法。2．通过对应用问题的分析、建模、求解，加深对非线性规划理论的理解。3．学习掌握MATLAB有关非线性规划求解的命令。【实验内容】某建筑公司有6个建筑工地要开工，每个工地的位置（用平面坐标a，b表示，距离单位：千米）及水泥日用量d（吨）由表1给出。目前有两个废旧的料场位于（5,1），（2,7）处，现需要重新建设A、B两个料场，日储存量各为20吨。试问料场A、B各设在何处，并且如何制定每天的原料供应计划，使得从A、B两料场分别向各工地运送水泥总的吨千米数最小。表1工地的位置（a，b）及各工地水泥日用量位置及用量123456横坐标a1.258.750.55.7537.25纵坐标b1.250.754.7556.57.75d（吨）3547611【实验准备】很多实际问题所归结的优化数学模型中，目标函数或约束条件很难用线性来表达。如果目标函数或约束条件中包含有非线性函数，就称这种优化模型为非线性规划问题。1．非线性规划问题数学模型的一般表示min)(xf..ts)(xgi≤0i＝1，2，…，m（1）)(xhj＝0j＝1，2，…，k其中x∈nR，)(xf为目标函数，)(xgi，)(xhj为约束函数，在这些函数中至少有一个是非线性函数。令S＝｛x｜)(xgi≤0i＝1，2，…，m；)(xhj＝0j＝1，2，…，k｝（2）称S为可行集或可行域，S中的点称为可行点。这样（1）可用集约束的形式来表示min)(xf，..tsx∈S（3）设)(xf为目标函数，S为可行域，*x∈S，若对每一个x∈S均有)(xf≥)(*xf，则称*x为极小化问题（1）的最优解（整体最优解）；若存在*x的某邻域，使得对该邻域中每个x成立)(xf≥)(*xf，则称*x为极小化问题的局部最优解。至于求目标函数的最大值或约束条件为小于等于零的情况，都可通过取其相反数，化为（1）所示的一般形式。库恩－塔克（Kuhn－Tucker）条件：若*x为问题（1）的可行点，I＝｛i｜)(xgi=0｝，)(xf和)(xgi在*x处可微，)(xgi（iI）在*x点处连续，)(xhj在*x连续可微，且有向量集｛▽)(*xgi，▽)(*xhj｜iI，j＝1，2，…，k｝线性无关，则存在非负数1，…，技术官员村位于位于亚运城东部，主干道二以东石楼涌以西的地块，占地面积、m2，总建筑面积、m2，共包括地下室南区、地下室北区、地上部分1栋～12栋、服务中心、室外工程等多个单体工程。其中住宅面积m2，共12栋，1～7栋建筑层数为11层，8～12栋11层（局部复式顶层），首层局部架空，布置公建配套设施。integratedenergy,chemicalsandtextileYibincity,arethethreecorepillarsoftheindustry.In2014,thewuliangyebrandvalueto73.58billionyuan,thecity'sliquorindustrysliptostabilise.Promotingdeepdevelopmentofintegratedenergy,advancedequipmentmanufacturingindustry,changningdistrict,shalegasproductioncapacityreached277millioncubicmetres,builtthecountry'sfirstindependenthigh-yieldwellsandpipelinesinthefirstsection,theleadinfactoryproductionandsupplytothepopulation.2.1-3GDPgrowthfigure2.1-4Yibin,Yibincity,Yibincity,fiscalrevenuegrowth2.1.4topographyterrainoverallisSouthwest,North-EasternState.Lowmountainsandhillsinthecitylandscapeasthemainridge-and-Valley,pingbasmallfragmentednaturepictureforwaterandthese