Optimization Problem with Fixed Discreet Variables

Hello!

My problem is relatively simple, but I can't find a way to make it.

I have 14 parts of type A and 14 parts of type B and their weights. I need to group they in 7 sets containing 2 of each (each part can be used only once). I want to group in two different ways:

• Sort the parts so Set1 is in total the lightest one, Set2 the second lightest one and so on;
• Sort the parts so all sets are as close as possible in weight. Would mean targeting the smallest StdDev of the total weight of each set;

Anyone can help?

Regards,

Answer 1

[Alan Weiss]

I am not sure, but this example might be relevant.

Good luck,

Alan Weiss

MATLAB mathematical toolbox documentation