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  2. Bin packing problem - Wikipedia

    en.wikipedia.org/wiki/Bin_packing_problem

    Bin-packing with fragmentation or fragmentable object bin-packing is a variant of the bin packing problem in which it is allowed to break items into parts and put each part separately on a different bin. Breaking items into parts may allow for improving the overall performance, for example, minimizing the number of total bin.

  3. First-fit-decreasing bin packing - Wikipedia

    en.wikipedia.org/wiki/First-fit-decreasing_bin...

    For each item from largest to smallest, find the first bin into which the item fits, if any. If such a bin is found, put the new item in it. Otherwise, open a new empty bin put the new item in it. In short: FFD orders the items by descending size, and then calls first-fit bin packing. An equivalent description of the FFD algorithm is as follows.

  4. Packing problems - Wikipedia

    en.wikipedia.org/wiki/Packing_problems

    Packing identical rectangles in a rectangle: The problem of packing multiple instances of a single rectangle of size (l,w), allowing for 90° rotation, in a bigger rectangle of size (L,W) has some applications such as loading of boxes on pallets and, specifically, woodpulp stowage. For example, it is possible to pack 147 rectangles of size (137 ...

  5. Next-fit-decreasing bin packing - Wikipedia

    en.wikipedia.org/.../Next-fit-decreasing_bin_packing

    The NFD algorithm uses the following heuristic: Order the items from largest to smallest. Initialize an empty bin and call it the "open bin". For each item in order, check if it can fit into the open bin: If it fits, then place the new item into it. Otherwise, close the current bin, open a new bin, and put the current item inside it.

  6. Next-fit bin packing - Wikipedia

    en.wikipedia.org/wiki/Next-fit_bin_packing

    Next-fit is an online algorithm for bin packing. Its input is a list of items of different sizes. Its output is a packing - a partition of the items into bins of fixed capacity, such that the sum of sizes of items in each bin is at most the capacity. Ideally, we would like to use as few bins as possible, but minimizing the number of bins is an ...

  7. Configuration linear program - Wikipedia

    en.wikipedia.org/wiki/Configuration_linear_program

    In the bin packing problem, there are n items with different sizes. The goal is to pack the items into a minimum number of bins, where each bin can contain at most B. A feasible configuration is a set of sizes with a sum of at most B. Example: [7] suppose the item sizes are 3,3,3,3,3,4,4,4,4,4, and B=12. Then the possible configurations are ...

  8. Best-fit bin packing - Wikipedia

    en.wikipedia.org/wiki/Best-fit_bin_packing

    Best-fit is an online algorithm for bin packing. Its input is a list of items of different sizes. Its output is a packing - a partition of the items into bins of fixed capacity, such that the sum of sizes of items in each bin is at most the capacity. Ideally, we would like to use as few bins as possible, but minimizing the number of bins is an ...

  9. First-fit bin packing - Wikipedia

    en.wikipedia.org/wiki/First-fit_bin_packing

    First-fit (FF) is an online algorithm for bin packing. Its input is a list of items of different sizes. Its output is a packing - a partition of the items into bins of fixed capacity, such that the sum of sizes of items in each bin is at most the capacity. Ideally, we would like to use as few bins as possible, but minimizing the number of bins ...