Randomized Local Search for Two-Dimensional Bin Packing and a Negative Result for Frequency Fitness Assignment

Rui Zhao, Zhize Wu, Daan van den Berg, Matthias Thürer, Tianyu Liang, Ming Tan, Thomas Weise

2024

Abstract

We consider a two-dimensional orthogonal bin packing problem (2BP) where rectangular items are to be placed into rectangular bins such that their edges are parallel to those of the bins with the aim to require as few bins as possible. Two variants of the problem are analyzed. In the 2BP|O|F, the items have a fixed orientation while in the 2BP|R|F, they can be rotated by 90 degrees. We show that on both variants, a simple randomized local search (RLS) has surprisingly good performance – if the objective function guiding the search is defined suitably. In particular, on the 2BP|O|F, the RLS performs on par with more complicated state-of-the-art metaheuristics. We furthermore investigate plugging Frequency Fitness Assignment (FFA) into the RLS, obtaining the FRLS. FFA has improved the RLS performance on several classical N P-hard optimization problems from operations research, including Max-SAT, the Job Shop Scheduling Problem, and the Traveling Salesperson Problem. This paper is the first negative result for FFA: it cannot improve algorithm performance on the 2BP variants studied. This can be explained by the fact that RLS already performs very well on the instances of the 2DPackLib benchmark set used as the basis of our experiments.

Paper Citation

in Harvard Style

Zhao R., Wu Z., van den Berg D., Thürer M., Liang T., Tan M. and Weise T. (2024). Randomized Local Search for Two-Dimensional Bin Packing and a Negative Result for Frequency Fitness Assignment. In Proceedings of the 16th International Joint Conference on Computational Intelligence - Volume 1: ECTA; ISBN 978-989-758-721-4, SciTePress, pages 15-26. DOI: 10.5220/0012888500003837

in Bibtex Style

@conference{ecta24,
author={Rui Zhao and Zhize Wu and Daan van den Berg and Matthias Thürer and Tianyu Liang and Ming Tan and Thomas Weise},
title={Randomized Local Search for Two-Dimensional Bin Packing and a Negative Result for Frequency Fitness Assignment},
booktitle={Proceedings of the 16th International Joint Conference on Computational Intelligence - Volume 1: ECTA},
year={2024},
pages={15-26},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0012888500003837},
isbn={978-989-758-721-4},
}

in EndNote Style

TY - CONF

JO - Proceedings of the 16th International Joint Conference on Computational Intelligence - Volume 1: ECTA
TI - Randomized Local Search for Two-Dimensional Bin Packing and a Negative Result for Frequency Fitness Assignment
SN - 978-989-758-721-4
AU - Zhao R.
AU - Wu Z.
AU - van den Berg D.
AU - Thürer M.
AU - Liang T.
AU - Tan M.
AU - Weise T.
PY - 2024
SP - 15
EP - 26
DO - 10.5220/0012888500003837
PB - SciTePress