150分懸賞求MATLAB的壹個簡單問題

數學模型：

目標函數 min f=[ 2 1 3 2]*[x11 x12 x13 x14]'+[1 3 2 1]*[x21 x22 x23 x24]'+[3 4 1 1]*[x31 x32 x33 x34]';

S.T

不等約束：

x11+x12+x13+x14<=60;

x21+x22+x23+x24<=40;

x31+x32+x33+x34<=50;

用矩陣的乘法可表示為

[ 1 0 0 1 0 0 1 0 0 1 0 0 [x11; x21 ;x31 [60

0 1 0 0 1 0 0 1 0 0 1 0 * x12; x22; x32 <= 40

0 0 1 0 0 1 0 0 1 0 0 1]; x13 ;x23 ;x33 50]

x14 ;x24 ;x34]

等式約束

x11+x21+x31=20;

x21+x22+x23=35;

x31+x32+x33=33;

x41+x42+x43=34;

用矩陣的乘法可表示為

[1 1 1 0 0 0 0 0 0 0 0 0 [x11; x21 ;x31 [20

0 0 0 1 1 1 0 0 0 0 0 0 * x12; x22; x32 = 35

0 0 0 0 0 0 1 1 1 0 0 0 x13 ;x23 ;x33 33

0 0 0 0 0 0 0 0 0 1 1 1] x14 ;x24 ;x34] 34]

B= [ 1 0 0 1 0 0 1 0 0 1 0 0

0 1 0 0 1 0 0 1 0 0 1 0

0 0 1 0 0 1 0 0 1 0 0 1];

D= [1 1 1 0 0 0 0 0 0 0 0 0

0 0 0 1 1 1 0 0 0 0 0 0

0 0 0 0 0 0 1 1 1 0 0 0

0 0 0 0 0 0 0 0 0 1 1 1] ;

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