我要解一个不等式组:
a=(a1,a2,a3,a4,a5,a6,a7,a8),
b=(b1,b2,b3,b4,b5,b6,b7,b8),
c=(c1,c2,c3,c4,c5,c6,c7,c8),
E1(x,y,z)=a(1)xyz+a(2)xy(1-z)+a(3)x(1-y)z+a(4)x(1-y)(1-z)+a(5)(1-x)yz+a(6)(1-x)y(1-z)+a(7)(1-x)(1-y)z+a(8)(1-x)(1-y)(1-z),
E2(x,y,z)=b(1)xyz+b(2)xy(1-z)+b(3)x(1-y)z+b(4)x(1-y)(1-z)+b(5)(1-x)yz+b(6)(1-x)y(1-z)+b(7)(1-x)(1-y)z+b(8)(1-x)(1-y)(1-z),
E3(x,y,z)=c(1)xyz+c(2)xy(1-z)+c(3)x(1-y)z+c(4)x(1-y)(1-z)+c(5)(1-x)yz+c(6)(1-x)y(1-z)+c(7)(1-x)(1-y)z+c(8)(1-x)(1-y)(1-z),
不等式是:
E1(x,y,z)>=E1(1,y,z);
E1(x,y,z)>=E1(0,y,z);
E2(x,y,z)>=E2(x,1,z);
E2(x,y,z)>=E2(x,0,z);
E3(x,y,z)>=E3(x,y,1);
E3(x,y,z)>=E3(x,y,1);
且0<=x,y,z<=1,
想通过Matlab三维图形,来找到满足不等式组的可行区域,最好能够看到边界的数值。
多谢!!
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