MATLAB: Multidimensional matrix optimization error

multidimension matrixoptmization

Hello everyone,
I have an optimization variable 
y=optimvar('y',[4,1],'Type','integer','LowerBound',0,'UpperBound',1);
and I want to put this "y" into a matrix which have 4 time periods, so i created a multidimensional matrix as this: 
yi=y([ 1 2 3 4; 2 2 3 4;3 3 3 4;4 4 4 4]);
yi(:,:,2)= y([ 1 2 3 4; 2 2 3 4;3 3 3 4;4 4 4 4]);
yi(:,:,3)= y([ 1 2 3 4; 2 2 3 4;3 3 3 4;4 4 4 4]);
yi(:,:,4)= y([ 1 2 3 4; 2 2 3 4;3 3 3 4;4 4 4 4]);
where the third dimension is about time, which I have 4 years in my problem. While I run this code in matlab it says this is an illegal assignment, could anyone help me with that?
Thank you!

Best Answer

Hi,
From the question I understand that you created an optimization variable y and wants to create a 3-dimensional matrix yi in a specific layout where the 3rd dimension is time.
Try using the following code: 
y=optimvar('y',[4,1,4],'Type','integer','LowerBound',0,'UpperBound',1); 
yi=[y(1,1,1),y(2,1,1),y(3,1,1),y(4,1,1);y(2,1,1),y(2,1,1),y(3,1,1),y(4,1,1);y(3,1,1),y(3,1,1),y(3,1,1),y(4,1,1);y(4,1,1),y(4,1,1),y(4,1,1),y(4,1,1)];  
yi(:,:,2)=[y(1,1,2),y(2,1,2),y(3,1,2),y(4,1,2);y(2,1,2),y(2,1,2),y(3,1,2),y(4,1,2);y(3,1,2),y(3,1,2),y(3,1,2),y(4,1,2);y(4,1,2),y(4,1,2),y(4,1,2),y(4,1,2)]; 
yi(:,:,3)=[y(1,1,3),y(2,1,3),y(3,1,3),y(4,1,3);y(2,1,3),y(2,1,3),y(3,1,3),y(4,1,3);y(3,1,3),y(3,1,3),y(3,1,3),y(4,1,3);y(4,1,3),y(4,1,3),y(4,1,3),y(4,1,3)]; 
yi(:,:,4)=[y(1,1,4),y(2,1,4),y(3,1,4),y(4,1,4);y(2,1,4),y(2,1,4),y(3,1,4),y(4,1,4);y(3,1,4),y(3,1,4),y(3,1,4),y(4,1,4);y(4,1,4),y(4,1,4),y(4,1,4),y(4,1,4)];
Hope it works.
For more information on creating multi-dimensional binary optimization variables, you can refer the following link: https://www.mathworks.com/help/optim/ug/optimvar.html#mw_cedf0526-03c6-46b9-aba3-a694d89d1003
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