Year: 2014
Type: preprint
Abstract: In this paper, we show an improved bound and new algorithm for the online square-into-square packing problem. This two-dimensional packing problem involves packing an online sequence of squares into a unit square container without any two squares overlapping. The goal is to find the largest area $α$ such that any set of squares with total area $α$ can be packed. We show an algorithm that can pack any set of squares with total area $α\leq 3/8$ into a unit square in an online setting, improving the previous bound of $11/32$.
Source: arXiv (Cornell University)
Author: Brubach, Brian
Language: English
Subfield: Industrial and Manufacturing Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W96152805