variables in array form for ga optimization
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I have a problem with 2 parts and 3 machines assignment..each part as 2 routings.say P1 1st row is for route 1 and 2nd row is route 2.. columns represent the machines
P1=[3 0 2;2 2 1];
P2=[4 1 0;1 2 2];
My objective function is
f(x)=min((P1*[7;8;10]+P2*[7;8;10])*0.1);
I an trying to do integer programming with GA but I cant understand the formulation of variables for ga.. they can be x(1) [either row one or row two representing P1] and x(2) [either row 1 or 2 representing P2] What I understnad is I can define 2 array of 1x3 size. what can be the possible formulation?
6 Commenti
Walter Roberson
il 23 Set 2018
So P1 and P2 might each have multiple rows, and you want to minimize (P1(SomeRow,:)*[7;8;10]+P2(SomeOtherRow,:)*[7;8;10])*0.1 ? Which is something that could be separated into
minimum row of P1*[7;8;10]
plus 0.1 times minimum row of P2*[7;8,10]
since the minimum of a sum over all possible combinations of rows is the same as the minimum over the each of the parts
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