./大學(xué)《數(shù)學(xué)模型》實(shí)驗(yàn)實(shí)驗(yàn)報(bào)告班級(jí)專業(yè)15計(jì)科2班宇軒學(xué)號(hào)實(shí)驗(yàn)地點(diǎn)C1-229指導(dǎo)老師司建輝成績(jī)實(shí)驗(yàn)項(xiàng)目實(shí)驗(yàn)6-1原油采購(gòu)與加工——解法1〔非線性規(guī)劃NLP,用LINGO求解2.實(shí)驗(yàn)6-2原油采購(gòu)與加工——解法2〔整數(shù)規(guī)劃IP,用LINGO求解3.實(shí)驗(yàn)6-3原油采購(gòu)與加工——解法3〔整數(shù)規(guī)劃IP,用LINDO求解實(shí)驗(yàn)?zāi)康膶W(xué)會(huì)利用LINGO進(jìn)行實(shí)驗(yàn),熟練掌握用LINGO求解簡(jiǎn)單的非線性規(guī)劃問題以及整數(shù)規(guī)劃問題。實(shí)驗(yàn)要求1.原油采購(gòu)與加工——解法1〔非線性規(guī)劃NLP,用LINGO求解1.輸入非線性規(guī)劃模型〔參考教材p103。2．另存,文件擴(kuò)展名為.lg4,用LINGO語法。3.運(yùn)行,結(jié)果與p103-104的結(jié)果比較。2.原油采購(gòu)與加工——解法2〔整數(shù)規(guī)劃IP,用LINGO求解輸入整數(shù)規(guī)劃模型〔參考教材p104并運(yùn)行。結(jié)果與p106的結(jié)果比較。3.原油采購(gòu)與加工——解法3〔整數(shù)規(guī)劃IP,用LINDO求解輸入整數(shù)規(guī)劃模型并運(yùn)行。結(jié)果與p105的結(jié)果比較。實(shí)驗(yàn)容1.原油采購(gòu)與加工——解法1〔非線性規(guī)劃NLP,用LINGO求解〔參考教材p104-106模型：10x<0x500>c<x><500x1000>已知10008x30006x<1000x1500>Maxz4.8<x11x21>5.6<x12x22>c<x>x11x12500xx21x221000x1500x110.5xx2111x120.6xx2212x11,x12,x21,x22,x0變換為以下的非線性規(guī)劃模型：Maxz4.8<x11x21>5.6<x12x22><10x18x26x3>x11x12500xx21x221000x110.5xx2111x120.6xx2212xx1x2x3<x1500>x20<x2500>x300x1,x2,x3500x11,x12,x21,x22,x0在模型窗口中輸入以下模型：Model:Max=4.8*x11+4.8*x21+5.6*x12+5.6*x22-10*x1-8*x2-6*x3;x11+x12<x+500;x21+x22<1000;x11-x21>0;2*x12-3*x22>0;x=x1+x2+x3;<x1-500>*x2=0;<x2-500>*x3=0;x1<500;x2<500;x3<500;end2.原油采購(gòu)與加工——解法2〔整數(shù)規(guī)劃IP,用LINGO求解〔參考教材p106-107模型同實(shí)驗(yàn)04-06。變換為以下的整數(shù)規(guī)劃模型：Maxz4.8<x11x21>5.6<x12x22><10x18x26x3>x11x12500xx21x221000x110.5xx2111x120.6xx2212xx1x2x3500y2x1500y1500y3x2500y2x3500y3y1,y2,y30或10x1,x2,x3500x11,x12,x21,x22,x0在模型窗口中輸入以下編程語言：MODEL:MAX=4.8*X11+4.8*X21+5.6*X12+5.6*X22-10*X1-8*X2-6*X3;X11+X12<X+500;X21+X22<1000;0.5*X11-0.5*X21>0;0.4*X12-0.6*X22>0;X=X1+X2+X3;X1<500*Y1;X2<500*Y2;X3<500*Y3;X1>500*Y2;X2>500*Y3;BIN<Y1>;BIN<Y2>;BIN<Y3>;END3.原油采購(gòu)與加工——解法3〔整數(shù)規(guī)劃IP,用LINDO求解〔參考教材p107-108模型同實(shí)驗(yàn)04-06。變換為以下的整數(shù)規(guī)劃模型：Maxz4.8<x11x21>5.6<x12x22>c<x>x11x12500xx21x221000x110.5xx1121x120.6xx1222x11,x12,x21,x22,x0z1y1,z2y1y2,z3y2y3,z4y3z1z2z3z41,zk0<k1,2,3,4>y1y2y31,yk0或1<k1,2,3>x500z21000z31500z4c<x>5000z29000z312000z4在模型窗口中輸入以下編程語言：model:max=4.8*x11+4.8*x21+5.6*x12+5.6*x22-<5000*z2+9000*z3+12000*z4>;x11+x12<x+500;x21+x22<1000;0.5*x11-0.5*x21>0;0.4*x12-0.6*x22>0;z1<y1;z2<y1+y2;z3<y2+y3;z4<y3;z1+z2+z3+z4=1;y1+y2+y3=1;x=500*z2+1000*z3+1500*z4;bin<y1>;bin<y2>;bin<y3>;end實(shí)驗(yàn)結(jié)果及其分析選擇LINGO->OPTIONS->GLOBALSOLVER->勾選GLOBALSOLVER,顯示全局最優(yōu)解。原油采購(gòu)與加工——解法1〔非線性規(guī)劃NLP,用LINGO求解Globaloptimalsolutionfound.提示表明線性規(guī)劃問題的最優(yōu)解已經(jīng)被找到。Objectivevalue:5000表示線性規(guī)劃問題的最優(yōu)解是5000。Totalsolveriterations:368表明迭代的此時(shí)是368次。Variable：對(duì)應(yīng)的是變量,分別是x11,x21,x12,x22,x1,x2,x3,x。Value：線性規(guī)劃問題取得最優(yōu)值是對(duì)應(yīng)的最優(yōu)解。即x11=0,x21=0,x12=1500,x22=1000,x1=500,x2=499.998,x=1000。2.原油采購(gòu)與加工——解法2〔整數(shù)規(guī)劃IP,用LINGO求解Globaloptimalsolutionfound.提示表明線性規(guī)劃問題的最優(yōu)解已經(jīng)被找到。Objectivevalue:5000表示線性規(guī)劃問題的最優(yōu)解是5000。Totalsolveriterations:12表明迭代的此時(shí)是12次。Variable：對(duì)應(yīng)的是變量,分別是x11,x21,x12,x22,x1,x2,x3,x,y1,y2,y3。Value：線性規(guī)劃問題取得最優(yōu)值是對(duì)應(yīng)的最優(yōu)解。即x11=0,x21=0,x21=1500,x22=1000,x1=500,x2=500,x3=0,x=1000,y1=1000,y2=1000,y3=0。3.原油采購(gòu)與加工——解法3〔整數(shù)規(guī)劃IP,用LINDO求解Globaloptimalsolutionfound.提示表明線性規(guī)劃問題的最優(yōu)解已經(jīng)被找到。Objectivevalue:5000表示線性規(guī)劃問題的最優(yōu)解是5000。Totalsolveriterations:16表明迭代的此時(shí)是16