Fast Approximation Schemes for Bin Packing
Data Structures and Algorithms
2019-02-12 v1
Abstract
We present new approximation schemes for bin packing based on the following two approaches: (1) partitioning the given problem into mostly identical sub-problems of constant size and then construct a solution by combining the solutions of these constant size sub-problems obtained through PTAS or exact methods; (2) solving bin packing using irregular sized bins, a generalization of bin packing, that facilitates the design of simple and efficient recursive algorithms that solve a problem in terms of smaller sub-problems such that the unused space in bins used by an earlier solved sub-problem is available to subsequently solved sub-problems.
Cite
@article{arxiv.1902.03422,
title = {Fast Approximation Schemes for Bin Packing},
author = {Srikrishnan Divakaran},
journal= {arXiv preprint arXiv:1902.03422},
year = {2019}
}