How to optimize a two objective function with constraints

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Chris B
Chris B 2014-11-10
Hello to everyone!
I have to implement an optimization problem in MATLAB with two decision variables. The aim is to minimize a problem with two sub-problems (double objective), let's say:
min { sum_all_l sum_all_b (k_lb*y_lb) } , { sum_all_b sum_all_r (m_br*x_br) }
where 'y_lb' and 'x_br' represent the decision variables and the rest notations (k and m) is information that we know and we need to minimize according to some joint constraints..
My question is: Do I solve it like all (single objective) optimization problems by creating the A, Aeq matrices with a 'number of columns = (l x b) + (r x b)' and then use gamultiobj function? Also, will my decision vector in the end contain both x and y decision variables or it will be something else?
Thank you in advance!

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