🤖 AI Summary
This paper addresses the Entry-Dependent Vehicle Routing Problem (EDVRP) in irregular agricultural fields, where route planning must jointly optimize multiple parameters while respecting field geometry and entry-point constraints. We propose an end-to-end learning framework that integrates geometric awareness with dynamic scheduling. Unlike conventional heuristic methods that ignore field shape and entry restrictions, our approach introduces a novel graph neural network architecture based on joint probability distribution sampling, explicitly encoding field geometry and entry constraints as a structured graph. The framework incorporates a Graph Transformer encoder, cross-attention mechanisms, and Proximal Policy Optimization (PPO) for reinforcement learning. It supports both pre-training and online fine-tuning, enabling dynamic task allocation and real-time re-planning. Experiments demonstrate significant improvements over baseline methods: travel distance reduced by 48.4–65.4%, fuel consumption decreased by 14.0–17.6%, computational efficiency improved by two orders of magnitude, and dynamic scheduling performance enhanced by 15–25%.
📝 Abstract
The Entrance Dependent Vehicle Routing Problem (EDVRP) is a variant of the Vehicle Routing Problem (VRP) where the scale of cities influences routing outcomes, necessitating consideration of their entrances. This paper addresses EDVRP in agriculture, focusing on multi-parameter vehicle planning for irregularly shaped fields. To address the limitations of traditional methods, such as heuristic approaches, which often overlook field geometry and entrance constraints, we propose a Joint Probability Distribution Sampling Neural Network (JPDS-NN) to effectively solve the EDVRP. The network uses an encoder-decoder architecture with graph transformers and attention mechanisms to model routing as a Markov Decision Process, and is trained via reinforcement learning for efficient and rapid end-to-end planning. Experimental results indicate that JPDS-NN reduces travel distances by 48.4-65.4%, lowers fuel consumption by 14.0-17.6%, and computes two orders of magnitude faster than baseline methods, while demonstrating 15-25% superior performance in dynamic arrangement scenarios. Ablation studies validate the necessity of cross-attention and pre-training. The framework enables scalable, intelligent routing for large-scale farming under dynamic constraints.