Hi,

Below I need solve for the binary variables x_1,x_2,y_1,y_2,z_1,z_2 that minimize the functions f(x), f(y), f(z), subject to the 5 constraints that follow. By binary I mean they can only be 1 or 0.

I appreciate any advice as to what sort of strategy I might use. Thanks.

x_1u_{1}+x_1u_{2}-h=f(x)
y_1u_{1}+y_1u_{2}-h=f(y)
z_1u_{1}+z_1u_{2}-h=f(z)

s.t.
x_1+x_2\leq1
y_1+y_2\leq1
z_1+z_2\leq1
x_1+y_1+z_1=1
x_2+y_2+z_2=1