How can list All possible modes

Hi guys,

I have 2 kind of streams "HOT" and "COLD"

I want to consider all the possible modes that these streams can face each other,

means for example for 2 hot streams and 2 cold streams (h1 h2 and c1 c1)

it is important that which one face another and where,

consider a grid

case 1 : h1 vs c1 then h1 vs c2       and      h2 vs c1 then h2 vs c2
case 2 : h1 vs c2 then h2 vs c1       and      h1 vs c2 then h1 vs c1
case 3 : h2 vs c1 then h2 vs c2       and      h1 vs c1 then h1 vs c2
case 4 : h2 vs c2 then h1 vs c1       and      h2 vs c2 then h2 vs c1

these the all cases could happen ( m*n cases not n*n)

i hope explained it well,

could you help me how order matlab to do it?

sorry for my bad english

Answer 1

[Sameer]

Hi @Amy Hs

If you have m hot streams and n cold streams, and you want to list all possible ways each hot stream can face the cold streams in any order, you can use permutations. For example, with 2 hot (h1, h2) and 2 cold (c1, c2) streams, here’s a simple MATLAB code to generate all possible cases:

m = 2; % number of hot streams
n = 2; % number of cold streams

cold_perms = perms(1:n); % all possible orders for cold streams
num_cases = size(cold_perms, 1)^m;

cases = zeros(m, n, num_cases);
counter = 1;

for i = 1:size(cold_perms,1)
    for j = 1:size(cold_perms,1)
        cases(:,:,counter) = [cold_perms(i,:); cold_perms(j,:)];
        counter = counter + 1;
    end
end

% Display all cases
for k = 1:size(cases,3)
    fprintf('Case %d:\n', k);
    for h = 1:m
        fprintf('  h%d vs c%d then h%d vs c%d\n', h, cases(h,1,k), h, cases(h,2,k));
    end
end

For more information, Please refer the following MathWorks documentation link:

https://www.mathworks.com/help/matlab/ref/perms.html

Hope this helps!