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Research on a fuzzy programming model and algorithm for berth allocation considering time-varying water depth.

Di Liu1, Botang Li2, Mengchi Li3

  • 1School of Sciences and Arts, Guangzhou Maritime University, Guangzhou, 510725, China.

Scientific Reports
|March 7, 2026
PubMed
Summary
This summary is machine-generated.

This study introduces a fuzzy programming approach for efficient ship berth allocation, considering uncertain factors like water depth. The developed model minimizes total time costs and proves stable across various confidence levels.

Keywords:
Berth allocationFuzzy programmingGenetic algorithmSimulated annealing algorithmTime-varying water depth

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Area of Science:

  • Operations Research
  • Maritime Logistics
  • Optimization Techniques

Background:

  • Efficient port operations are crucial for global trade.
  • Berth allocation is complex due to uncertainties like fluctuating water depths.
  • Existing models may not adequately address these dynamic conditions.

Purpose of the Study:

  • To develop an efficient berth allocation model under uncertainty.
  • To minimize total time costs in port operations.
  • To incorporate fluctuating water depths into berth assignment decisions.

Main Methods:

  • A credible fuzzy programming approach was adopted.
  • A linear integer programming model was constructed for berth allocation.
  • Two heuristic algorithms, genetic algorithm (GA) and simulated annealing (SA), were designed and compared.

Main Results:

  • The proposed fuzzy programming model and GA demonstrated feasibility.
  • The model effectively minimizes total time costs.
  • Analysis showed the model's stability with varying confidence levels, with negligible impact on allocation plans.

Conclusions:

  • The fuzzy programming approach provides a robust solution for uncertain berth allocation.
  • The developed GA is a viable and effective method for this optimization problem.
  • The model's stability ensures reliable berth allocation plans in dynamic port environments.