# Tagged Questions

Packing problems are a class of optimization problems in which one has to pack objects together as densely as possible. One could be for example packing rectangles inside a rectangle.

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### calculate minimum wrapping surface area required for packing boxes

I can't get this question out of mind and can't come up with a algorithm to solve this Problem Given a set of N boxes, all of which have identical w x l x h dimensions, print the minimum ...
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### ordered uniform distribution

We are given $n$ objects with individual weights $w_1 , w_2 , \ldots , w_n$ and $m$ buckets in which these objects are to be inserted but in order. Here order means if object $i$ goes in bucket $m_i$ ...
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### Packing sets to maximize overlap

We are given a set of $m$ elements $\{e_1,...,e_m\}$ that form our universe $\mathcal{U}$. Each element of our universe is further associated with a positive weight $w(e_j)$ with $j\in \{1,...m\}$. We ...
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### Dividing bins into segments

This may be a question with a well known answer, but I've been thinking on it for two days, and can't quite come up with a satisfactory answer. Consider the problem of dividing $p n$ bins numbered $1$...
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### What's the complexity of solving a packing LP?

Linear Programming is in polynomial time weakly (when numbers are encoded in unary). AFAIK it remains open if it is possible to solve LP in polynomial time strongly (when numbers are encoded in ...
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### What is the sqrt(n)-approximation algorithm for set packing problem

The set packing problem is : Given a universe $U$ and a family $S$ of subsets of $U$, a packing is a subfamily $C\subseteq S$ of sets such that all sets in $C$ are pairwise disjoint, and the size of ...
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### How to solve an arrangement problem at the Archive Nationale of France using graph theory?

Good evening! I'm actually doing an internship at the Archives Nationales of France and I encountered a situation I wanted to solve using graphs... I. The dusty situation We want to optimize the ...
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### How to pack polygons inside another polygon?

I have ordered a few leather sheets from which I would like to build juggling balls by sewing edges together. I'm using the Platonic solids for the shape of the balls. I can scan the leather sheets ...