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August 17, 2025Journal of Marine Science and Engineering4 citationsOpen Access

Ship Voyage Route Waypoint Optimization Method Using Reinforcement Learning Considering Topographical Factors and Fuel Consumption

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JLJuhyang LeeYPY.W. ParkJEJeong-On Eom

Key Points

  • Average fuel consumption decreased by up to 11.33% across case studies including Busan–Rotterdam.
  • The transformer model achieved an R2 score of 86.75%, outperforming LSTM and Random Forest models.
  • PPO-based reinforcement learning optimizes routes using environmental data as a reward function.
  • This method could significantly support IMO’s decarbonization goals through smarter navigation systems.

Abstract

As the IMO and the EU strengthen carbon emission regulations, eco-friendly voyage planning is increasingly recognized by ship owners as one of the most important performance factors of the vessel fleet. The eco-friendly voyage planning aims to reduce carbon emissions and fuel consumption while satisfying voyage constraints. In this study, a novel route waypoint optimization method is proposed, which combines a fuel consumption forecasting model based on the Transformer and a Proximal Policy Optimization (PPO) algorithm for adaptive waypoint planning. The developed framework suggests a multi-objective methodology unlike the traditional approaches where a single objective is sought after, which characterizes fuel efficiency against navigational safety and operational simplicity. The methodology consists of three sequential phases. First, the transformer model is employed to predict ship fuel consumption using navigational and environmental data. Next, the predicted consumption values are utilized as a reward function in a PPO-based reinforcement learning framework to generate fuel-efficient routes. Finally, the number and placement of waypoints are further optimized with respect to terrain and bathymetric constraints, improving the practicality and safety of the navigational plan. The results show that the proposed method could decrease average fuel consumption by up to 11.33% across three real-world case studies: Busan–Rotterdam, Busan–Los Angeles, and Mokpo–Houston, compared to AIS-based routes. The transformer model outperformed Long Short-Term Memory (LSTM) and Random Forest baselines with the highest prediction accuracy, achieving an R2 score of 86.75%. This study is the first to incorporate transformer-based forecasting into reinforcement learning for maritime route planning and demonstrates how the method adaptively controls waypoint density in response to environmental and geographical conditions. These results support the practical application of the approach in smart ship navigation systems aligned with IMO’s decarbonization goals.

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Cite This Study

Lee et al. (2025) studied this question.

synapsesocial.com/papers/68a36a3f0a429f797332e7b7https://doi.org/10.3390/jmse13081554
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