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6.1

Algorithm to sort numbers into equal groups

Asked by choelt in Algorithms

I have a process where we are manually trying to sort containers of varying weights into 4 bins of nearest equal total weights.  Here is a sample of typical data with 13 items:

1.68
1.76
2.34
3.88
4.04
5.12
6.10
7.00
7.02
7.24
7.68
8.20
8.62

Now I need to determine which items to group into bins.  I need 4 bins with the closest matching total weights possible.  So in this case the total weight is 70.68.  So I need 4 bins containing as close to 17.67/ea. possible.  There will always be 4 bins no matter how many items.  The total items varies usually between as few as 6 to upwards of 40.  Also let me point out that it doesn't matter how many items are in each bin.  One bin could have 5 items while another has only 2.  We're just trying to match total weights as close as possible.

I'm a VB developer, but can understand most all basic logic as long as it is in somewhat readable form. (why/how explanations help me considerably)  I have been working on some basic sorting using arrays, but I'm not able to come up with anything that consistently calculates a best case scenario for different data sets.  I need help with an algorithm that will work much more consistently than the manual system we are using now which is for the most part trial and error.
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