Packing differently sized chunks of data into multiple bins

Posted by knizz on Stack Overflow See other posts from Stack Overflow or by knizz
Published on 2010-12-23T18:24:12Z Indexed on 2010/12/23 18:54 UTC
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Filed under:

algorithm

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packing

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chunks

EDIT: It seems like this problem is called "Cutting stock problem"

I need an algorithm that gives me the (space-)optimal arrangement of chunks in bins. One way would be put the bigger chunks in first. But see how that algorithm fails in this example:

Chunks        Bins
-----------------------------
AAA BBB CC DD (       ) (   )

Algorithm     Result
-----------------------------
biggest first (AAABBB ) (CC )
optimal       (AAACCDD) (BBB)

"Biggest first" can't fit in DD. Maybe it helps to build a table like this:

Size 1: ---
Size 2: CC, DD
Size 3: AAA, BBB

Size 4: CCDD
Size 5: AAACC, AAADD, BBBCC, BBBDD
Size 6: AAABBB

Size 7: AAACCDD, BBBCCDD
Size 8: AAABBBCC, AAABBBDD
Size 10: AAABBBCCDD

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