On Two Dimensional Orthogonal Knapsack Problem
Data Structures and Algorithms
2008-12-18 v1 Computational Complexity
Abstract
In this paper, we study the following knapsack problem: Given a list of squares with profits, we are requested to pack a sublist of them into a rectangular bin (not a unit square bin) to make profits in the bin as large as possible. We first observe there is a Polynomial Time Approximation Scheme (PTAS) for the problem of packing weighted squares into rectangular bins with large resources, then apply the PTAS to the problem of packing squares with profits into a rectangular bin and get a approximation algorithm.
Cite
@article{arxiv.0803.4260,
title = {On Two Dimensional Orthogonal Knapsack Problem},
author = {Xin Han and Kazuo Iwama and Guochuan Zhang},
journal= {arXiv preprint arXiv:0803.4260},
year = {2008}
}