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  2. 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 ...

  3. 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.

  4. 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 ...

  5. Category:Packing problems - Wikipedia

    en.wikipedia.org/wiki/Category:Packing_problems

    Pages in category "Packing problems" The following 29 pages are in this category, out of 29 total. This list may not reflect recent changes. ...

  6. First-fit-decreasing bin packing - Wikipedia

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

    First-fit-decreasing (FFD) is an 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.

  7. 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 ...

  8. Slothouber–Graatsma puzzle - Wikipedia

    en.wikipedia.org/wiki/Slothouber–Graatsma_puzzle

    The best known example is the Conway puzzle which asks for the packing of eighteen convex rectangular blocks into a 5 x 5 x 5 box. A harder convex rectangular block packing problem is to pack forty-one 1 x 2 x 4 blocks into a 7 x 7 x 7 box (thereby leaving 15 holes); the solution is analogous to the 5x5x5 case, and has three 1x1x5 cuboidal ...

  9. Conway puzzle - Wikipedia

    en.wikipedia.org/wiki/Conway_puzzle

    Pieces used in the Conway puzzle. Conway's puzzle, or blocks-in-a-box, is a packing problem using rectangular blocks, named after its inventor, mathematician John Conway.It calls for packing thirteen 1 × 2 × 4 blocks, one 2 × 2 × 2 block, one 1 × 2 × 2 block, and three 1 × 1 × 3 blocks into a 5 × 5 × 5 box.