lingo与matlab求解非线性规划

1.题目

2.lingo代码

model:
p1=17;
p2=2.67;
k1=0.3;
k2=8;
p3=1700;
N1=550/(1+1.2*@exp(-0.8*x1));
N2=25/(1+1.1*@exp(-0.4*x2));
Max=Z;
Z=k1*p1*N1+k1*p3*N2+(k2-x1-x2)*N1*p2;
0<=x1+x2;x1+x1<=8;
N1>=N2;
0<=x1;x1<=20;
0<=x2;x2<=10;
@gin(x1); @gin(x2);
end

2.matlab代码

(1)构造函数
function f= con_fun1(x)
p1=17;
p2=2.67;
k1=0.3;
k2=8;
p3=1700;
N1=550/(1+1.2*exp(-0.8*x(1)));
N2=25/(1+1.1*exp(-0.4*x(2)));
f=-1*(k1*p1*N1+k1*p3*N2+(k2-x(1)-x(2))*N1*p2);
end
(2)操作代码
OPTIONS=optimset('display','iter','LargeScale','off');
lb=[0 0];
hb=[20 10];
A=[1 1;-1 -1];
k2=30;
b=[k2;0];
[x,fval,exitflag,output]=fmincon(@con_fun1,[1,1],A,b,[],[],lb,hb,[],OPTIONS);

参考文章

1. lingo学习篇 ↩