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Berth allocation in container terminals under fuzzy uncertain conditions
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Guolei TANG1, Yiming WANG1, Qian YU2, Xiaoyi ZHAO2
Navigation of China | 2025, 48(4) : 93 - 102
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Navigation of China | 2025, 48(4): 93-102
• Port and Waterway Engineering •
Berth allocation in container terminals under fuzzy uncertain conditions
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Guolei TANG1, Yiming WANG1, Qian YU2, Xiaoyi ZHAO2
Affiliations
  • 1.State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, China
  • 2.Qingdao International Cruise Terminal Development Co., Ltd., Qingdao 266011, China
Published: 2025-12-25 doi: 10.3969/j.issn.1000-4653.2025.04.011
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The arrival and handling times of vessels are subject to significant uncertainty. Triangular fuzzy numbers, characterized by upper and lower bounds and a most likely value, provide an effective means of representing such imprecise information. In this context, this paper first establishes a fuzzy integer programming model for berth allocation at container terminals, aiming to minimize the total departure delay time of vessels. An improved Multi-Verse Optimizer (MVO) algorithm is then proposed to solve the model, incorporating solution repair and breakout strategies. Comparative analysis shows that, in contrast to deterministic berth allocation schemes, the proposed fuzzy berth allocation approach demonstrates notable advantages in reducing total departure delay time and exhibits greater effectiveness in handling uncertainty. Moreover, the improved MVO algorithm achieves solution speed improvements of 59.9%, 44%, and 26.1% in small, medium, and large scale experiments, respectively, compared to the standard multi-verse optimizer. These results indicate that the proposed algorithm can efficiently solve the fuzzy integer programming model for berth allocation and offers valuable decision-making support for addressing berth allocation problems under fuzzy uncertainty.

berth allocation  /  uncertainty  /  triangular fuzzy numbers  /  fuzzy integer programming  /  multi-verse optimize
Guolei TANG, Yiming WANG, Qian YU, Xiaoyi ZHAO. Berth allocation in container terminals under fuzzy uncertain conditions[J]. Navigation of China, 2025 , 48 (4) : 93 -102 . DOI: 10.3969/j.issn.1000-4653.2025.04.011
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Article Info
doi: 10.3969/j.issn.1000-4653.2025.04.011
  • Receive Date：2024-09-19
  • Online Date：2026-03-17
  • Published：2025-12-25
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  • Received：2024-09-19
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Affiliations
    1.State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, China
    2.Qingdao International Cruise Terminal Development Co., Ltd., Qingdao 266011, China
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表12种不同金属材料的力学参数
科
Family		 属数
Number of
genus		 种数
Number of
species		 占总种数比例
Percentage of
total species (%)		 属
Genus		 种数
Number of
species		 占总种数比例
Percentage of total
species (%)
鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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