Hierarchical Decomposition Framework for Steiner Tree Packing Problem

Hanbum Ko, Minu Kim, Han-Seul Jeong, Sunghoon Hong, Deunsol Yoon, Youngjoon Park, Woohyung Lim, Honglak Lee, Moontae Lee, Kanghoon Lee, Sungbin Lim, Sungryull Sohn

2025

Abstract

In this paper, we address the complex combinatorial optimization (CO) challenge of efficiently connecting objects at minimal cost, specifically within the context of the Steiner Tree Packing Problem (STPP). Traditional methods often involve subdividing the problem into multiple Steiner Tree Problems (STP) and solving them in parallel. However, this approach can fail to provide feasible solutions. To overcome this limitation, we introduce a novel hierarchical combinatorial optimizer (HCO) that applies an iterative process of dividing and solving sub-problems. HCO reduces the search space and boosts the chances of getting feasible solutions. This paper proposes for the first time a learning-based approaches to address STPP, introducing an iterative decomposition method, HCO. Our experiments demonstrate that HCO outperforms existing learning-based methods in terms of feasibility and the quality of solutions, and showing better training efficiency and generalization performance than previous learning-based methods.

Paper Citation

in Harvard Style

Ko H., Kim M., Jeong H., Hong S., Yoon D., Park Y., Lim W., Lee H., Lee M., Lee K., Lim S. and Sohn S. (2025). Hierarchical Decomposition Framework for Steiner Tree Packing Problem. In Proceedings of the 14th International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES; ISBN 978-989-758-732-0, SciTePress, pages 165-176. DOI: 10.5220/0013317800003893

in Bibtex Style

@conference{icores25,
author={Hanbum Ko and Minu Kim and Han-Seul Jeong and Sunghoon Hong and Deunsol Yoon and Youngjoon Park and Woohyung Lim and Honglak Lee and Moontae Lee and Kanghoon Lee and Sungbin Lim and Sungryull Sohn},
title={Hierarchical Decomposition Framework for Steiner Tree Packing Problem},
booktitle={Proceedings of the 14th International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES},
year={2025},
pages={165-176},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0013317800003893},
isbn={978-989-758-732-0},
}

in EndNote Style

TY - CONF

JO - Proceedings of the 14th International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES
TI - Hierarchical Decomposition Framework for Steiner Tree Packing Problem
SN - 978-989-758-732-0
AU - Ko H.
AU - Kim M.
AU - Jeong H.
AU - Hong S.
AU - Yoon D.
AU - Park Y.
AU - Lim W.
AU - Lee H.
AU - Lee M.
AU - Lee K.
AU - Lim S.
AU - Sohn S.
PY - 2025
SP - 165
EP - 176
DO - 10.5220/0013317800003893
PB - SciTePress