Need help to create a matrix for the use of intlinprog!

Question

Taner Cokyasar 2016-7-10

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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/294765-need-help-to-create-a-matrix-for-the-use-of-intlinprog

评论： Taner Cokyasar 2016-7-11

采纳的回答： Stephen23

在 MATLAB Online 中打开

Hello,

I am a beginner. I have the following sample vector named Zvalues:

 Variable Name         Zvalues
 Z11                      0
 Z12                      0
 Z13                      1
 Z21                      0
 Z22                      1
 Z23                      0
 Z31                      0
 Z32                      1
 Z33                      0

I have created a zero 3x9 sized matrix as following:

Y= zeros(3, 9);

I want to fill this matrix with an if condition, as the following example:

 if Zvalues(3,1) == 1;
 Y(1,3) = 1;
 if Zvalues(5,1) == 1;
 Y(2,5) = 1;
 if Zvalues(8,1) == 1;
 Y(3,8) = 1;

The following matrix is what I want to reach at the end. 'Y's represent variable names, they are not a part of the matrix .

Y11 Y12 Y13 Y21 Y22 Y23 Y31 Y32 Y33
 0   1   0   0   0   0   0   0  
 0   0   0   1   0   0   0   0  
 0   0   0   0   0   0   1   0

I thought that I might use for loop and if commands, however, I couldn't really successfully create a code for it. This is what I could have think of:

 for k=1:i*m
     if Zvalues(k,1) == 1
        Y(1,k) = 1
     end
 end

where, i*m is 9. The formulation is absolutely wrong. Please help me to fix it. Thanks.

The question is edited to make it more clear. If you see anything unclear, please let me know.

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Answer 1

Stephen23 2016-7-11

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此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/294765-need-help-to-create-a-matrix-for-the-use-of-intlinprog#answer_228322

编辑：Stephen23 2016-7-11

在 MATLAB Online 中打开

Just use sub2ind:

>> Z = [0;0;1;0;1;0;0;1;0]
Z =
     0
     0
     1
     0
     1
     0
     0
     1
     0
>> Y = zeros(3,9);
>> Y(sub2ind(size(Y),1:nnz(Z),find(Z).')) = 1
Y =
     0     0     1     0     0     0     0     0     0
     0     0     0     0     1     0     0     0     0
     0     0     0     0     0     0     0     1     0

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Taner Cokyasar 2016-7-11

This was exactly what I was looking for. Thank you so much Stephen.

dpb, you typed the same thing as well. I could have understood yet. Thanks for all your answers.

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Answer 2

KSSV 2016-7-11

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此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/294765-need-help-to-create-a-matrix-for-the-use-of-intlinprog#answer_228276

在 MATLAB Online 中打开

clc; clear all ;
z = [0
 0
 1
 0
 1
 0
 0
 1
 0];
sigmas = zeros(3, 9);
Ys = zeros(3, 9);
   if z(3,1) == 1;
      sigma(1,3) = 1;
      Ys(1,3) = 1;
   end
   if z(5,1) == 1;
      sigma(2,5) = 1;
      Ys(2,5) = 1;
   end
   if z(8,1) ==1;
      sigma(3,8) = 1;
      Ys(3,8) = 1; 
   end
   Aeq = [sigma, Ys]

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dpb 2016-7-11

Isn't this the same question we've been discussing at <help-for-creating-constraint-with-if-conditions>? The solution I gave there is general (that's why I went the route I did to produce one that is independent of size simply given the input array).

Taner Cokyasar 2016-7-11

That is true dpb. However, I couldn't make your codes work :(. Your code is really confusing to me. For my first question given in that link, you used 'm' for the whole matrix. I changed that 'm' and it worked. However, for my second question, since I couldn't properly understand the way you are doing it, I couldn't fit your codes into mine. I am pretty sure that you understood the problem and able to provide the correct formulation, however I can't understand it. I simplified the problem in the following link:

http://www.mathworks.com/matlabcentral/answers/294781-intlinprog-matrix-creation-help-needed

Maybe, you can take a look at there. I would really appreciate. Thanks.

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