Matlab Vectors for optimization

I have three variables, A, B and C. Which are used to create a matrix such that:

Matrix = [A B C], the elements when added should be equal to or less than 20.

i.e A+B+C≤ 20. ... Condition (1)

However, A , B and C each must be greater than 1. .... Condition (2)

I need to create a list of such matrices that follow the above mentioned conditions.

Additional Detail. - The purpose of above matrix list.

I am going to use that list to run another program(P1 for instance), where A,B and C are my input and I will receive an output(O1), I desire to use the corresponding matrix that gives me max of that output(O1).

Answer 1

[Sulaymon Eshkabilov]

Easy solution would be to employ: randi([2, 13], Ntimes) to generate A, B, C; Sum them up: A+B+C; Compare the summation value against 20 to verify condition (1). Afterwards, you can perform the comparison of the summation values: A+B+C.

[MM]

In this code randi([2, 13], Ntimes), shouldn't it be randi([2, 16], Ntimes), since A, B and C can take values from 2 to 16? Assuming A = 16, B and C needs to be greater than 1, therefore, only way is 16,2,2.

Also, what is Ntimes?

Also, I need the list to be in order, not any random values. Your help is appreciated. Thank you in advance. :)

[Sulaymon Eshkabilov]

Your condition (2): A> 1, B>1, C> 1, i.e. A+B+C >=6. And your condition (1): A+B+C<=20. Thus, randi([2, 13], Ntimes) should be randi([2, 16], Ntimes). Ntimes is how many data points you'd need to generate.

If they need to be in order, then you can generate them easily with:

A =2:16; B = A; C = A;  % Row vectors

Note they are integers, you may need to generate them as a rational numbers as well, i.e.

A = (1.1:0.1:16)'; B = A; C = A;  % Column vectors 

Sum them up

Compare them against 20.