Vehicle Routing Problems via Quantum Graph Attention Network Deep Reinforcement Learning

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Hauptverfasser: Giang, Le Tung, Viet, Vu Hoang, Tung, Nguyen Xuan, Van Chien, Trinh, Hwang, Won-Joo
Format: Preprint
Veröffentlicht: 2025
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author Giang, Le Tung
Viet, Vu Hoang
Tung, Nguyen Xuan
Van Chien, Trinh
Hwang, Won-Joo
author_facet Giang, Le Tung
Viet, Vu Hoang
Tung, Nguyen Xuan
Van Chien, Trinh
Hwang, Won-Joo
contents The vehicle routing problem (VRP) is a fundamental NP-hard task in intelligent transportation systems with broad applications in logistics and distribution. Deep reinforcement learning (DRL) with Graph Neural Networks (GNNs) has shown promise, yet classical models rely on large multi-layer perceptrons (MLPs) that are parameter-heavy and memory-bound. We propose a Quantum Graph Attention Network (Q-GAT) within a DRL framework, where parameterized quantum circuits (PQCs) replace conventional MLPs at critical readout stages. The hybrid model maintains the expressive capacity of graph attention encoders while reducing trainable parameters by more than 50%. Using proximal policy optimization (PPO) with greedy and stochastic decoding, experiments on VRP benchmarks show that Q-GAT achieves faster convergence and reduces routing cost by about 5% compared with classical GAT baselines. These results demonstrate the potential of PQC-enhanced GNNs as compact and effective solvers for large-scale routing and logistics optimization.
format Preprint
id arxiv_https___arxiv_org_abs_2511_15175
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Vehicle Routing Problems via Quantum Graph Attention Network Deep Reinforcement Learning
Giang, Le Tung
Viet, Vu Hoang
Tung, Nguyen Xuan
Van Chien, Trinh
Hwang, Won-Joo
Machine Learning
Information Theory
Quantum Physics
The vehicle routing problem (VRP) is a fundamental NP-hard task in intelligent transportation systems with broad applications in logistics and distribution. Deep reinforcement learning (DRL) with Graph Neural Networks (GNNs) has shown promise, yet classical models rely on large multi-layer perceptrons (MLPs) that are parameter-heavy and memory-bound. We propose a Quantum Graph Attention Network (Q-GAT) within a DRL framework, where parameterized quantum circuits (PQCs) replace conventional MLPs at critical readout stages. The hybrid model maintains the expressive capacity of graph attention encoders while reducing trainable parameters by more than 50%. Using proximal policy optimization (PPO) with greedy and stochastic decoding, experiments on VRP benchmarks show that Q-GAT achieves faster convergence and reduces routing cost by about 5% compared with classical GAT baselines. These results demonstrate the potential of PQC-enhanced GNNs as compact and effective solvers for large-scale routing and logistics optimization.
title Vehicle Routing Problems via Quantum Graph Attention Network Deep Reinforcement Learning
topic Machine Learning
Information Theory
Quantum Physics
url https://arxiv.org/abs/2511.15175