Quantum Approaches to the 0/1 Multi-Knapsack Problem: QUBO Formulation, Penalty Parameter Characterization and Analysis

Evren Guney, Joachim Ehrenthal, Thomas Hanne

2025

Abstract

The 0/1 Multi-Knapsack Problem (MKP) is a combinatorial optimization problem with applications in logistics, finance, and resource management. Advances in quantum computing have enabled the exploration of problems like the 0/1 MKP through Quadratic Unconstrained Binary Optimization (QUBO) formulations. This work develops QUBO formulations for the 0/1 MKP, with a focus on optimizing penalty parameters for encoding constraints. Using simulation experiments across quantum platforms, we evaluate the feasibility of solving small-scale instances of the 0/1 MKP. The results provide insights into the challenges and opportunities associated with applying quantum optimization methods for constrained resource allocation problems.

Paper Citation

in Harvard Style

Guney E., Ehrenthal J. and Hanne T. (2025). Quantum Approaches to the 0/1 Multi-Knapsack Problem: QUBO Formulation, Penalty Parameter Characterization and Analysis. In Proceedings of the 17th International Conference on Agents and Artificial Intelligence - Volume 1: QAIO; ISBN 978-989-758-737-5, SciTePress, pages 815-823. DOI: 10.5220/0013387700003890

in Bibtex Style

@conference{qaio25,
author={Evren Guney and Joachim Ehrenthal and Thomas Hanne},
title={Quantum Approaches to the 0/1 Multi-Knapsack Problem: QUBO Formulation, Penalty Parameter Characterization and Analysis},
booktitle={Proceedings of the 17th International Conference on Agents and Artificial Intelligence - Volume 1: QAIO},
year={2025},
pages={815-823},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0013387700003890},
isbn={978-989-758-737-5},
}

in EndNote Style

TY - CONF

JO - Proceedings of the 17th International Conference on Agents and Artificial Intelligence - Volume 1: QAIO
TI - Quantum Approaches to the 0/1 Multi-Knapsack Problem: QUBO Formulation, Penalty Parameter Characterization and Analysis
SN - 978-989-758-737-5
AU - Guney E.
AU - Ehrenthal J.
AU - Hanne T.
PY - 2025
SP - 815
EP - 823
DO - 10.5220/0013387700003890
PB - SciTePress