Creating random integer row array each element different upper limit and sum of elements add up to a number
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Biswanath Mahanty
el 24 de Sept. de 2020
Editada: Ameer Hamza
el 28 de Sept. de 2020
I am looking for a intutuve code to generate 1x6 array where each element is random integer (with in specific upper limit) and sums to a given number.
For example a random array where element lower limit [ 0 0 0 0 0 0] and upper limit [ 9 12 25 6 14 7]. The sum of the random integer number adds up to 24, e.g.
[4 3 8 1 3 4 1]
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Ameer Hamza
el 24 de Sept. de 2020
Editada: Ameer Hamza
el 28 de Sept. de 2020
See this excellent FEX package by John: https://www.mathworks.com/matlabcentral/fileexchange/49795-randfixedlinearcombination. However, It generates fractional numbers. Following code proposes one modification. I don't know how it will change the probability distribution.
lb = [0 0 0 0 0 0];
ub = [9 12 25 6 14 7];
n = numel(lb);
s = 24;
x = round(randFixedLinearCombination(1, s, [1 1 1 1 1 1], lb, ub));
k = sum(x) - s;
if k > 0
idx = find(x >= (lb+1));
idx = idx(randperm(numel(idx), k));
x(idx) = x(idx) - 1;
else
idx = find(x <= (ub-1));
idx = idx(randperm(numel(idx), -k));
x(idx) = x(idx) + 1;
end
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Bruno Luong
el 27 de Sept. de 2020
Editada: Bruno Luong
el 27 de Sept. de 2020
I think you can do better if you replace the first filtering with <= >= tests rather than strict inequality.
It still not perfect though.
Ameer Hamza
el 28 de Sept. de 2020
Yes, I guess this will fail when the bounds are very tight in accordance with the sum constraints. The point about inequality is also valid. For the given bounds, the method does not seem to fail.
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