May 10, 2009 · I want to pack a list of words into a buffer, keeping track of the starting position and length of each word. The trick is that I'd like to pack the buffer efficiently by eliminating the redundancy. Example: doll dollhouse house.

For an application I'm working on I need something like a packing algorithm implemented in Python see here for more details. The basic idea is that I have n objects of varying sizes that I need to fit into n bins, where the number of bins is limited …

Mar 7, 2011 · For algorithms to solve this, take a look at Simulated annealing, Tabu search, Branch and bound, ... For software which implements such algorithms and support constraints, take a look at Drools Planner (java, open source).

Dec 21, 2016 · Then, you could use your algorithm to solve in polynomial time the decision version of the Bin packing problem, which is known to be NP-complete (and, therefore, unlikely to be solvable in polynomial time).

Most examples of 2D-packing algorithms find the enclosing square of least area, or assume that one of the dimensions isn't constrained.

Sep 30, 2015 · A web library called Packery implements this with a basic first-fit algorithm. With "gravity" pulling the rectangles to the top-left, it places the first item where it will fit, which of course is the top-left of the enclosing rectangle.

Define an instance of the bin packing problem by integers $a_1, \ldots, a_n$ and bin size $\frac{1}{2} \sum_{i = 1}^n a_i$. Then the partition problem has a solution if and only if the bin packing instance uses exactly two bins.

Is there any greedy solution with an approximation bound for the bin-packing problem when we have bins of different size? More formally, there are $n$ bins of size $b_i$ for $i=1,\dotsc,n$, and $m$ objects, each of size $o_j$ for $j=1,\dotsc,m$.

Mar 10, 2020 · Rectangle packing thread on Stack Overflow – Another fascinating thread on stack overflow this time. Fast Optimizing Rectangle Packing Algorithm for Building CSS Sprites – The article that inspired the grid splitting algorithm.

Mar 26, 2015 · Given a box of given size $L\times M\times N$ and a list of smaller boxes of given sizes $(l_i,m_i,n_i)$, decide whether the smaller boxes altogether fit into the big box (and produce such a packing if possible).