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An accelerated end-to-end method for solving routing problems

Tianyu Zhu, Xinli Shi, Xiangping Xu, Jinde Cao

2023Neural Networks15 citationsDOIOpen Access PDF

Abstract

The application of neural network models to solve combinatorial optimization has recently drawn much attention and shown promising results in dealing with similar problems, like Travelling Salesman Problem. The neural network allows to learn solutions based on given problem instances, using reinforcement learning or supervised learning. In this paper, we present a novel end-to-end method to solve routing problems. In specific, we propose a gated cosine-based attention model (GCAM) to train policies, which accelerates the training process and the convergence of policy. Extensive experiments on different scale of routing problems show that the proposed method can achieve faster convergence of the training process than the state-of-the-art deep learning models while achieving solutions of the same quality.

Topics & Concepts

Computer scienceTravelling salesman problemConvergence (economics)Reinforcement learningEnd-to-end principleRouting (electronic design automation)Artificial neural networkProcess (computing)Artificial intelligenceMathematical optimizationScale (ratio)Machine learningAlgorithmMathematicsComputer networkQuantum mechanicsEconomic growthOperating systemPhysicsEconomicsVehicle Routing Optimization MethodsMetaheuristic Optimization Algorithms ResearchRobotic Path Planning Algorithms