I have a problem where I need to find the combination of boxes. Let say I have 3 small boxes with different sizes and I need to fit all these boxes into different size trucks but at the same time, I will need to minimize the truck cost. I tried the linear programming solution but it is not optimal in the sense, the solution does not cover that the length, width, and height of the boxes are also important.
For example, I cant fit a 2 x 2 x 2 item in a 1 x 15 x 1 box. Is there any insight on how to add this constraint to my LP?
Please advise.
This is 3D Bin Packing algo. I have solved this.