Beyond the Next Port: A Multi-Task Transformer for Forecasting Future Voyage Segment Durations

📅 2026-01-12
📈 Citations: 0
✨ Influential: 0
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🤖 AI Summary
This study addresses the limitation of existing vessel estimated time of arrival (ETA) models, which are typically restricted to the next port of call and rely heavily on real-time AIS data, thereby struggling to forecast transit durations for future voyage segments. To overcome this, the authors formulate future-port ETA prediction as a segment-level time series forecasting problem and propose a Transformer-based multi-task learning framework that jointly predicts segment-wise sailing durations and port congestion states. A novel causal masked attention mechanism is introduced, coupled with shared latent representations, to mitigate the high uncertainty inherent in long-horizon predictions. The model integrates historical sailing durations, proxy indicators of port congestion, and static vessel attributes. Evaluated on a global real-world dataset from 2021, it significantly outperforms baseline methods, reducing MAE and MAPE by 4.85% and 4.95% compared to sequential models, and by 9.39% and 52.97% against gradient boosting machines, respectively.

Technology Category

Planning, Routing, and Scheduling: Optimization of Spatio-temporal SystemsMachine Learning: Time-Series/Data StreamsIntelligent Robots: State Estimation

Application Category

Graph Algorithms and Modeling for the Web: Foundation models and LLMs for Web-related graphsSemantics and Knowledge: Methods to enhance, augment, integrate or synergize semantic models such as knowledge graphs and LLMsSearch and Retrieval-Augmented AI: Vertical and domain-specific search
📝 Abstract
Accurate forecasts of segment-level sailing durations are fundamental to enhancing maritime schedule reliability and optimizing long-term port operations. However, conventional estimated time of arrival (ETA) models are primarily designed for the immediate next port of call and rely heavily on real-time automatic identification system (AIS) data, which is inherently unavailable for future voyage segments. To address this gap, the study reformulates future-port ETA prediction as a segment-level time-series forecasting problem. We develop a transformer-based architecture that integrates historical sailing durations, destination port congestion proxies, and static vessel descriptors. The proposed framework employs a causally masked attention mechanism to capture long-range temporal dependencies and a multi-task learning head to jointly predict segment sailing durations and port congestion states, leveraging shared latent signals to mitigate high uncertainty. Evaluation on a real-world global dataset from 2021 demonstrates the proposed model consistently outperforms a comprehensive suite of competitive baselines. The result shows a relative reduction of 4.85% in mean absolute error (MAE) and 4.95% in mean absolute percentage error (MAPE) compared with sequence baseline models. The relative reductions with gradient boosting machines are 9.39% in MAE and 52.97% in MAPE. Case studies for the major destination port further illustrate the model's superior accuracy.
Problem

Research questions and friction points this paper is trying to address.

ETA prediction
future voyage segments
sailing duration forecasting
maritime schedule reliability
AIS data unavailability
Innovation

Methods, ideas, or system contributions that make the work stand out.

multi-task transformer
segment-level forecasting
causal attention
port congestion prediction
ETA prediction
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N
Nairui Liu
Department of Industrial Engineering, Tsinghua University, Beijing 100084, P.R. China
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Fang He
Department of Industrial Engineering, Tsinghua University, Beijing 100084, P.R. China
X
Xindi Tang
School of Management Science and Engineering, Central University of Finance and Economics, Beijing 100081, P.R. China