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Fuzzy C-means clustering based vertical container stacking in container terminals.

Seokchan Lee1, Seung-Ho Lee1, Seung Chan Choi1

  • 1Department of Industrial Engineering, Dankook University, 119, Dandae-ro, Cheonan-si, Chungcheongnam-do, 31116, Republic of Korea.

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|February 2, 2026
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Summary
This summary is machine-generated.

This study introduces a fuzzy clustering strategy (FVSS) to optimize container stacking, significantly reducing weight variance and improving operational efficiency in container terminals. FVSS enhances container retrieval by minimizing reshuffling through intelligent weight-based allocation.

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Container stackingContainer terminalData-driven optimizationFuzzy C-means clusteringFuzzy optimizationMachine learningMaritime logistics

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Area of Science:

  • Operations Research
  • Logistics Management
  • Artificial Intelligence

Background:

  • Container terminals face inefficiencies due to reshuffling, which involves unnecessary container movements during retrieval.
  • Traditional stacking strategies often fail to account for container weight variations, leading to operational bottlenecks.

Purpose of the Study:

  • To propose a novel fuzzy clustering-based vertical stacking strategy (FVSS) for container terminals.
  • To enhance operational efficiency and reduce weight variance in container yard operations.
  • To address the challenge of reshuffling by dynamically adapting stacking to container weight.

Main Methods:

  • Implemented Fuzzy C-means (FCM) clustering to classify containers into weight classes based on historical data.
  • Developed a vertical stacking strategy that proportionally allocates stacking spaces based on cluster sizes.
  • Assigned a weight reference value to each stack to guide real-time container stacking decisions.

Main Results:

  • FVSS achieved up to a 78% reduction in weight variance compared to existing methods (HSS, RSS, GMM).
  • The strategy demonstrated stable performance even under uncertain container weight conditions.
  • Numerical experiments using real-world terminal data validated the effectiveness of FVSS.

Conclusions:

  • FVSS offers a robust and computationally efficient solution for container yard operations.
  • Integrating fuzzy optimization into stacking strategies significantly improves weight management and operational efficiency.
  • The proposed method provides a flexible vertical stacking approach that adapts to weight similarities and uncertainties.