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I am trying to bring logic and programming to a currently manually driven process.

We take the weights of 16 different crushing hammers, organize them into sets of 4 based on how close each set's weight is to the others. We are looking to have less than 1 pound difference between all 4 sets. The weights are known but I cannot logically program a method to do this without pen and paper.

Example below.

Set A Set B Set C Set D
39.1 40.1 42.0 41.5
40.05 41.0 40.05 38.90
41.2 42.1 41.3 43.1
38.5 43.60 42.1 41.5
Totals 158.85 166.80 165.45 165

As you can see in the first example, Sets C and D are close enough. Sets A and B are too far apart and need readjusting, but due to the severe difference, I would most likely have to rearrange all 4 sets to get with 1 pound difference for all 4 sets. Now mind you, this is all done on paper, and I am looking for a way to plug in all numbers and have it spit out the best configuration given the hammer weights, no more paper.

Set A Set B Set C Set D
42.1 39.1 42.0 41.5
40.05 41.0 40.05 38.90
43.60 43.1 41.3 42.1
38.5 41.20 40.1 41.5
Totals 164.25 164.40 163.45 164

I could do this all day, splitting hairs to get as close as possible. The closer we get the weights, the less vibration we experience and our equipments last a lot longer. Anyone have any thoughts to accomplishing this?

Justin K Valence
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1 Answers1

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I'm not a good math guy but I think in order to arrange ALL 4 SETS within 1lb tolerance, all 16 hammers should have some what consistent weight that is a bit apart from targeted weight.

The most simple way I can think of is to sort all of them in order and assign index 0~3 to each group until all 16 are assigned.

GCnomore
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  • I appreciate the input, but I would need a program that would essentially try ever iteration or combination of hammers to find the best arrangement. And I believe at 16 hammers, there is like 2 million combos. – Justin K Valence Nov 30 '21 at 03:09
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