bin packing with constraints?












1












$begingroup$


I recently implemented a bin packing algorithm to help me decide how to re-balance some collections in my database cluster. I was very excited to see it balance all the collections by size as I wanted, but the way it fills bins places large collections together and then the last bin is full of tiny collections.



For example



BIN 1    BIN 2         BIN N
----- ----- .... -----
500GB 500GB 0.07GB
200GB 200GB 0.06GB
100GB 100GB .....


It would be more optimal for me if I could have bins that sought to maximize the number of small collections per large collection in each bin. Something like this:



BIN 1    BIN 2         BIN N
----- ----- .... -----
500GB 500GB 200GB
100GB 100GB 200GB
0.76GB 0.76GB 0.76GB
... ... ...


The reason being that the large collections and small collections of complimentary usage patterns; by pairing them together I can more efficiently use my resources.










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$endgroup$












  • $begingroup$
    Just of the top, I would try putting the largest collection into the bin with the largest available space. Continuing for all collections. This should result in your second distribution.
    $endgroup$
    – Daniel Mathias
    Feb 1 at 14:51
















1












$begingroup$


I recently implemented a bin packing algorithm to help me decide how to re-balance some collections in my database cluster. I was very excited to see it balance all the collections by size as I wanted, but the way it fills bins places large collections together and then the last bin is full of tiny collections.



For example



BIN 1    BIN 2         BIN N
----- ----- .... -----
500GB 500GB 0.07GB
200GB 200GB 0.06GB
100GB 100GB .....


It would be more optimal for me if I could have bins that sought to maximize the number of small collections per large collection in each bin. Something like this:



BIN 1    BIN 2         BIN N
----- ----- .... -----
500GB 500GB 200GB
100GB 100GB 200GB
0.76GB 0.76GB 0.76GB
... ... ...


The reason being that the large collections and small collections of complimentary usage patterns; by pairing them together I can more efficiently use my resources.










share|cite|improve this question









$endgroup$












  • $begingroup$
    Just of the top, I would try putting the largest collection into the bin with the largest available space. Continuing for all collections. This should result in your second distribution.
    $endgroup$
    – Daniel Mathias
    Feb 1 at 14:51














1












1








1





$begingroup$


I recently implemented a bin packing algorithm to help me decide how to re-balance some collections in my database cluster. I was very excited to see it balance all the collections by size as I wanted, but the way it fills bins places large collections together and then the last bin is full of tiny collections.



For example



BIN 1    BIN 2         BIN N
----- ----- .... -----
500GB 500GB 0.07GB
200GB 200GB 0.06GB
100GB 100GB .....


It would be more optimal for me if I could have bins that sought to maximize the number of small collections per large collection in each bin. Something like this:



BIN 1    BIN 2         BIN N
----- ----- .... -----
500GB 500GB 200GB
100GB 100GB 200GB
0.76GB 0.76GB 0.76GB
... ... ...


The reason being that the large collections and small collections of complimentary usage patterns; by pairing them together I can more efficiently use my resources.










share|cite|improve this question









$endgroup$




I recently implemented a bin packing algorithm to help me decide how to re-balance some collections in my database cluster. I was very excited to see it balance all the collections by size as I wanted, but the way it fills bins places large collections together and then the last bin is full of tiny collections.



For example



BIN 1    BIN 2         BIN N
----- ----- .... -----
500GB 500GB 0.07GB
200GB 200GB 0.06GB
100GB 100GB .....


It would be more optimal for me if I could have bins that sought to maximize the number of small collections per large collection in each bin. Something like this:



BIN 1    BIN 2         BIN N
----- ----- .... -----
500GB 500GB 200GB
100GB 100GB 200GB
0.76GB 0.76GB 0.76GB
... ... ...


The reason being that the large collections and small collections of complimentary usage patterns; by pairing them together I can more efficiently use my resources.







combinatorics






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asked Feb 1 at 14:21









BreedlyBreedly

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143114












  • $begingroup$
    Just of the top, I would try putting the largest collection into the bin with the largest available space. Continuing for all collections. This should result in your second distribution.
    $endgroup$
    – Daniel Mathias
    Feb 1 at 14:51


















  • $begingroup$
    Just of the top, I would try putting the largest collection into the bin with the largest available space. Continuing for all collections. This should result in your second distribution.
    $endgroup$
    – Daniel Mathias
    Feb 1 at 14:51
















$begingroup$
Just of the top, I would try putting the largest collection into the bin with the largest available space. Continuing for all collections. This should result in your second distribution.
$endgroup$
– Daniel Mathias
Feb 1 at 14:51




$begingroup$
Just of the top, I would try putting the largest collection into the bin with the largest available space. Continuing for all collections. This should result in your second distribution.
$endgroup$
– Daniel Mathias
Feb 1 at 14:51










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