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houchuyue

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1.ÎÒµÄÄ¿±êÊÇÇóX1,X2,X3,ÇÒÊÇÕýÊýµÄ½â£¬ÈçºÎÐ޸ģ¬Ó¦¸ÃÈçºÎÌí¼ÓÔ¼ÊøÌõ¼þ¡£2¡£ÎªºÎÿ´ÎÔËÐУ¬½á¹û¶¼²»Í¬£¬ÈçºÎ´¦Àí£¿
Constant a=0.01195,b=0.0256,k=0.0105,B3=0.0027;
Parameters x1, x2, x3;
Function
a+b=x1+x2;
x3+2*b=x1+2*x2;
x2*x3*y/x1=k;
I=0.5*(x1+4*x2+x3+4*b);
f=-2*(1.303*ln(1+1.2*I^(0.5))+1.303*I*(1/(1+1.2*I^(0.5))*0.5*1.2*I^(-0.5)));
B1=0.2103+(2*0.4711/(1.4^(2)*I))*(1-(1+1.4*I^(0.5)*exp(-1.4*I^(0.5))));
B2=-2*0.4711/(1.4^(2)*I^(2))*(1-(1+1.4*I^(0.5)*exp(-1.4*I^(0.5))))-2*0.4711/(1.4^(2)*I)*(0.5*1.4*I^(-0.5)*exp(-1.4*I^(0.5))+(1+1.4*I^(0.5))*exp(-1.4*I^(0.5))*(-0.5*1.4*I^(-0.5)));
B4=0.2+(2*2.7/(1.4^(2)*I))*(1-(1+1.4*I^(0.5))*exp(-1.4*I^(0.5)))+(2*(-30.7)/(12^(2)*I))*(1-(1+12*I^(0.5))*exp(-12*I^(0.5)));
B5=-2*2.7/(1.4^(2)*I^(2))*(1-(1+1.4*I^(0.5)*exp(-1.4*I^(0.5))))-2*2.7/(1.4^(2)*I)*((0.5*1.4*I^(-0.5))*exp(-1.4*I^(0.5))+(1+1.4*I^(0.5))*exp(-1.4*I^(0.5))*(-0.5*1.4*I^(-0.5)))-2*(-30.7)/(12^(2)*I^(2))*(1-(1+12*I^(0.5)*exp(-12*I^(0.5))))-2*(-30.7)/(12^(2)*I)*((0.5*12*I^(-0.5))*exp(-12*I^(0.5))+(1+12*I^(0.5))*exp(-12*I^(0.5))*(-0.5*12*I^(-0.5)));
B6=0.375+(2*1.5/(1.4^(2)*I))*(1-(1+1.4*I^(0.5)*exp(-1.4*I^(0.5))));
B7=-2*1.5/(1.4^(2)*I^(2))*(1-(1+1.4*I^(0.5)*exp(-1.4*I^(0.5))))-2*1.5/(1.4^(2)*I)*(0.5*1.4*I^(-0.5)*exp(-1.4*I^(0.5))+(1+1.4*I^(0.5))*exp(-1.4*I^(0.5))*(-0.5*1.4*I^(-0.5)));
ln(Y)=f+2*(x1-x3)*B1+4*x3*x1*B2+2*(x2+x3)*B3+2*((x2+x3)*(x3+b)+x3*x2)*0.0416+2*b*(2*x2*B4+B5+2*x1*B6-B7);

µü´úÊý: 72
¼ÆËãÓÃʱ(ʱ:·Ö:Ãë:ºÁÃë): 00:00:31:104
¼ÆËãÖÐÖ¹Ô­Òò: ´ïµ½ÊÕÁ²Åж¨±ê×¼
ÓÅ»¯Ëã·¨: ׼ţ¶Ù·¨(BFGS) + ͨÓÃÈ«¾ÖÓÅ»¯·¨
º¯Êý±í´ïʽ 1: 0.01195+0.0256-(x1+x2)
         2: x3+2*0.0256-(x1+2*x2)
         3: x2*x3*y/x1-(0.0105)
         4: i-(0.5*(x1+4*x2+x3+4*0.0256))
         5: f-(-2*(1.303*ln(1+1.2*i^(0.5))+1.303*i*(1/(1+1.2*i^(0.5))*0.5*1.2*i^(-0.5))))
         6: b1-(0.2103+(2*0.4711/(1.4^(2)*i))*(1-(1+1.4*i^(0.5)*exp(-1.4*i^(0.5)))))
         7: b2-(-2*0.4711/(1.4^(2)*i^(2))*(1-(1+1.4*i^(0.5)*exp(-1.4*i^(0.5))))-2*0.4711/(1.4^(2)*i)*(0.5*1.4*i^(
            -0.5)*exp(-1.4*i^(0.5))+(1+1.4*i^(0.5))*exp(-1.4*i^(0.5))*(-0.5*1.4*i^(-0.5))))
         8: b4-(0.2+(2*2.7/(1.4^(2)*i))*(1-(1+1.4*i^(0.5))*exp(-1.4*i^(0.5)))+(2*(-30.7)/(12^(2)*i))*(1-(1+12*i^(0.5))
            *exp(-12*i^(0.5))))
         9: b5-(-2*2.7/(1.4^(2)*i^(2))*(1-(1+1.4*i^(0.5)*exp(-1.4*i^(0.5))))-2*2.7/(1.4^(2)*i)*((0.5*1.4*i^(-0.5))
            *exp(-1.4*i^(0.5))+(1+1.4*i^(0.5))*exp(-1.4*i^(0.5))*(-0.5*1.4*i^(-0.5)))-2*(-30.7)/(12^(2)*i^(2))*(1
            -(1+12*i^(0.5)*exp(-12*i^(0.5))))-2*(-30.7)/(12^(2)*i)*((0.5*12*i^(-0.5))*exp(-12*i^(0.5))+(1+12*i^(0.5))
            *exp(-12*i^(0.5))*(-0.5*12*i^(-0.5))))
         10: b6-(0.375+(2*1.5/(1.4^(2)*i))*(1-(1+1.4*i^(0.5)*exp(-1.4*i^(0.5)))))
         11: b7-(-2*1.5/(1.4^(2)*i^(2))*(1-(1+1.4*i^(0.5)*exp(-1.4*i^(0.5))))-2*1.5/(1.4^(2)*i)*(0.5*1.4*i^(-0.5)
            *exp(-1.4*i^(0.5))+(1+1.4*i^(0.5))*exp(-1.4*i^(0.5))*(-0.5*1.4*i^(-0.5))))
         12: ln(y)-(f+2*(x1-x3)*b1+4*x3*x1*b2+2*(x2+x3)*0.0027+2*((x2+x3)*(x3+0.0256)+x3*x2)*0.0416+2*0.0256*(2*x2
            *b4+b5+2*x1*b6-b7))
Ä¿±êº¯ÊýÖµ: 0.0346057342149256
x1: -0.613628828746281
x2: 0.651181234844569
x3: 0.637530987966978
y: 0.0356211237987828
i: 1.36550919200013
f: -3.04451434010513
b1: 0.0981303646848507
b2: 0.149337201828133
b4: 0.869550118362684
b5: 0.855878503182631
b6: 0.0178474428783668
b7: 0.475498544863951

====== ¼ÆËã½áÊø ======

[ Last edited by houchuyue on 2014-3-12 at 16:18 ]
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dingd

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houchuyue: ½ð±Ò+2, ¡ï¡ï¡ïºÜÓаïÖú 2014-03-12 17:08:20
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Ä¿±êº¯ÊýÖµ(×îС): 2.44738091577421E-22
x1: 0.0174024208040297
x2: 0.0201476131995002
x3: 0.00649756064023006
y: 1.39581797264244
i: 0.103445344352546
f: -1.21342501037417
b1: -1.12354414258258
b2: 15.7971962194402
b4: -1.4883351519721
b5: 81.0412352437473
b6: -3.87200958150146
b7: 50.2988629360697
3Â¥2014-03-12 16:46:46
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houchuyue: ½ð±Ò+5, ¡ï¡ï¡ïºÜÓаïÖú 2014-03-12 16:33:27
Parameters x1[0,], x2[0,], x3[0,];
MATLAB¡¢MSСÎÊÌâ¡¢ÆÕͨÎÊÌâÇë·¢ÌûÇóÖú£¡Ê±¼ä¾«Á¦ÓÐÏÞ£¬Ë¡²»½ÓÊÜÎÞ³¥Ë½ÐÅÇóÖú¡£
2Â¥2014-03-12 16:25:04
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houchuyue

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ÒýÓûØÌû:
3Â¥: Originally posted by dingd at 2014-03-12 16:46:46
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Ä¿±êº¯ÊýÖµ(×îС): 2.44738091577421E-22
x1: 0.0174024208040297
x2: 0.0201476131995002
x3: 0.00649756064023006
y: 1.3958179726424 ...

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4Â¥2014-03-12 17:07:29
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