Multiobjective discrete optimization with ga

Hi!

I need to solve a problem of the type:

F = (max (a1 - sum_i(x_i*c_i)), max (a2 - sum_i(y_i*c_i)), max (a3 - sum_i(z_i*c_i), ...)

Such that

x_i = {0, 1}

y_i = {0, 1}

z_i = {0, 1}

x_i + y_i + z_i = 1, for all i

and

a1, a2, a3, ..., an known constant

c_i, i=1,m also known constants

How can I do it?

Thanks :)