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Tracing the evolution of Particle Swarm Optimization in scheduling: A systematic review using main path analysis 跟踪粒子群优化在调度中的演化:用主路径分析的系统回顾
IF 8.5 1区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2025-12-04 DOI: 10.1016/j.swevo.2025.102239
Kuo-Ching Ying , Pourya Pourhejazy , Kuan-Lun Huang
This study analyzes the literature and reviews the trends and development trajectories of Particle Swarm Optimization (PSO)-based scheduling. Main Path and Cluster Analysis identify the seminal features introduced to improve PSO, and the major application areas. This serves as the basis for discussing computational advancements. The findings suggest that PSO is most developed in flow-shop scheduling, with its evolution progressing from single- to multi-objective optimization. The main application has shifted from production to advanced computing and energy management, indicating the growing influence of AI, renewables and energy storage. The shift towards mass customization explains the projected growth of flexible job-shop scheduling.
本文对基于粒子群优化(PSO)的调度方法的发展趋势和发展轨迹进行了综述。主路径和聚类分析确定了改进粒子群算法的重要特征,以及主要应用领域。这是讨论计算进步的基础。研究结果表明,粒子群优化算法在流水车间调度中得到了最大的发展,其演化过程从单目标优化到多目标优化。主要应用已经从生产转向先进的计算和能源管理,这表明人工智能、可再生能源和能源存储的影响力越来越大。向大规模定制的转变解释了灵活作业车间调度的预计增长。
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引用次数: 0
A dynamic multi-objective optimization evolutionary strategy based on adaptive selection for wet flue gas desulfurization process 基于自适应选择的湿法烟气脱硫过程动态多目标优化进化策略
IF 8.5 1区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2025-12-04 DOI: 10.1016/j.swevo.2025.102244
Anran Cao , Xiaoli Li , Kang Wang
Wet flue gas desulfurization (WFGD) process is crucial for reducing SO2 emissions in coal-fired power plants. In this process, the limestone slurry reacts with the SO2 emissions. Meanwhile, the reaction efficiency is sped up by pumps and oxidation fan, which is positively correlated with their electrical load. Herein, three conflicting objectives need to be minimized: SO2 emissions, electrical load, and use of limestone slurry. Meanwhile, many uncontrollable factors change over time, resulting in rapidly or random changing Pareto-optimal solution set (PS), i.e., a dynamic environment. Therefore, we formulate WFGD problem as a dynamic multi-objective optimization problem (DMOP). To solve WFGD problem, a simple yet effective algorithm, a dynamic multi-objective optimization evolutionary strategy based on adaptive selection (ASS), is proposed in this paper. When a change occurs, ASS provides diversified solutions by different proposed strategies, namely, a diverse direction prediction and a center-guided self-correcting prediction. Based on the severity of environmental change, an adaptive selection mechanism can adjust the selection probability of each strategy. ASS consists of two different prediction strategies, enabling more responsive to different changes. Comprehensive empirical studies shows that ASS achieves an excellent performance on CEC2018 DMOP benchmarks and well solve real-world WFGD problem compared to four state-of-the-art algorithms.
湿法烟气脱硫是降低燃煤电厂二氧化硫排放的关键工艺。在这个过程中,石灰石浆与二氧化硫排放发生反应。同时,泵和氧化风机对反应效率的提高也有一定的促进作用,且与泵和氧化风机的负荷呈正相关。在这里,需要最小化三个相互冲突的目标:二氧化硫排放、电力负荷和石灰石浆料的使用。同时,许多不可控因素随着时间的推移而变化,导致pareto最优解集(PS)快速或随机变化,即动态环境。因此,我们将WFGD问题表述为动态多目标优化问题(DMOP)。为了解决WFGD问题,本文提出了一种简单有效的算法——基于自适应选择的动态多目标优化进化策略。当发生变化时,ASS通过不同的提出策略提供多样化的解决方案,即多样化的方向预测和中心引导的自校正预测。根据环境变化的严重程度,自适应选择机制可以调整每种策略的选择概率。ASS由两种不同的预测策略组成,能够更好地响应不同的变化。综合实证研究表明,与四种最先进的算法相比,ASS在CEC2018 DMOP基准上取得了优异的性能,并很好地解决了现实世界的WFGD问题。
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引用次数: 0
A micro dynamic multi-objective evolutionary algorithm with flexible response strategy 具有柔性响应策略的微动态多目标进化算法
IF 8.5 1区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2025-12-04 DOI: 10.1016/j.swevo.2025.102243
Shi Wu , Hu Peng , Zhuo Liu , Lin Liu , Lianglin Cao , Zhijian Wu
Resource constraints exist in solving realistic dynamic multi-objective optimization problems (DMOPs), such as those based on low-power microprocessors. However, traditional dynamic multi-objective evolutionary algorithms (DMOEAs) often rely on large populations, and running these algorithms directly on low-power microprocessors will result in program interruptions. In contrast, the micro population can effectively balance limited computing resources and computational efficiency, making it an effective approach for running DMOEAs on low-power microprocessors. In light of this analysis, a micro dynamic multi-objective evolutionary algorithm with flexible response strategy (μDMOEA-FRS) is proposed. This approach incorporates a flexible niche strategy to maximize information exchange among niches, identifying the current environment based on niche performance and updating relevant information accordingly. Subsequently, the static optimization phase determines the most suitable environmental selection method based on insights obtained from the dynamic response phase. This strategy significantly enhances the adaptability of the micro population in dynamic environments. Additionally, a flexible scaling mechanism is introduced, which improves the diversity of the algorithm, facilitates the exploration of new regions within the solution space, and balances convergence with diversity. The performance of μDMOEA-FRS is compared against eight state-of-the-art DMOEAs across 35 test instances, demonstrating superior results in most cases. Furthermore, for the application to real-world problems, the algorithm was simulated within a small-scale smart greenhouse equipped with a low-power microprocessor. The results confirm the feasibility of μDMOEA-FRS for optimization within low-power microprocessor environments.
在求解基于低功耗微处理器的动态多目标优化问题时,存在资源约束问题。然而,传统的动态多目标进化算法(dmoea)往往依赖于大种群,直接在低功耗微处理器上运行这些算法会导致程序中断。相比之下,微种群可以有效地平衡有限的计算资源和计算效率,使其成为在低功耗微处理器上运行dmoea的有效方法。在此基础上,提出了一种具有柔性响应策略的微动态多目标进化算法(μDMOEA-FRS)。该方法结合了灵活的利基策略,以最大化利基之间的信息交换,根据利基性能确定当前环境,并相应地更新相关信息。随后,静态优化阶段根据动态响应阶段获得的见解确定最适合的环境选择方法。该策略显著提高了微种群对动态环境的适应性。此外,引入了灵活的缩放机制,提高了算法的多样性,便于在解空间内探索新的区域,平衡了收敛性和多样性。在35个测试实例中,将μDMOEA-FRS的性能与8个最先进的dmoea进行了比较,在大多数情况下显示出优越的性能。此外,为了将该算法应用于现实问题,在配备低功耗微处理器的小型智能温室中进行了模拟。结果证实了μDMOEA-FRS在低功耗微处理器环境下优化的可行性。
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引用次数: 0
An adaptive differential evolution algorithm with exponential crossover based on a learning strategy within the difference vector 基于差分向量内学习策略的指数交叉自适应差分进化算法
IF 8.5 1区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2025-12-04 DOI: 10.1016/j.swevo.2025.102247
Junpeng Chen , Zhenyu Meng
Most Differential Evolution (DE) researchers tend to adopt the binomial crossover operation in tackling optimization problems. However, we find that the DE variants using exponential crossover can also achieve superior performance to those using binomial crossover, as long as appropriate parameter control strategies are applied. Therefore, this paper proposes a new DE algorithm, an adaptive Differential Evolution algorithm with exponential crossover based on Learning Strategy within Difference vector (DLS-DE), to fill the gap in this field. The main contributions of this work are summarized as follows: First, a two-phase parameter control strategy is designed to regulate the scale factor F for balancing exploration and exploitation. In addition, considering the dispersion of effective parameter values, an adaptive σF strategy is proposed to adjust the sampling distribution and enhance parameter adaptability. Second, a differential vector learning strategy is developed to identify and incorporate promising difference vector information during an individual’s stagnation, enabling the search direction to adapt based on its past performance. Finally, the algorithm employs exponential crossover, where the crossover rate CR is automatically generated, and a fitness-independent parameter weight update mechanism is adopted to mitigate premature convergence. The performance of DLS-DE is evaluated on 88 benchmark functions from the CEC2013, CEC2014, and CEC2017 test suites. Statistical analyses, including the Friedman test and the Wilcoxon rank-sum test, demonstrate its effectiveness and competitiveness compared with ten state-of-the-art algorithms. In addition, DLS-DE is applied to an Economic Load Dispatch (ELD) problem in a power system with 40 generating units, achieving satisfactory results.
大多数差分进化研究者倾向于采用二项交叉操作来解决优化问题。然而,我们发现,只要采用适当的参数控制策略,使用指数交叉的DE变体也可以取得比使用二项交叉的DE变体更好的性能。为此,本文提出了一种新的差分进化算法——基于差分向量内学习策略的指数交叉自适应差分进化算法(DLS-DE)来填补这一领域的空白。本文的主要贡献如下:首先,设计了一种两阶段参数控制策略来调节规模因子F,以实现勘探与开采的平衡。此外,考虑到有效参数值的离散性,提出了一种自适应σF策略来调整采样分布,增强参数自适应能力。其次,开发了一种差分向量学习策略,用于在个体停滞期间识别和合并有希望的差分向量信息,使搜索方向能够根据其过去的表现进行调整。最后,该算法采用指数交叉,自动生成交叉率CR,并采用与适应度无关的参数权重更新机制来缓解过早收敛。DLS-DE的性能在CEC2013、CEC2014和CEC2017测试套件中的88个基准函数上进行了评估。统计分析,包括Friedman检验和Wilcoxon秩和检验,证明了它与十种最先进的算法相比的有效性和竞争力。并将该方法应用于某40台发电机组电力系统的经济负荷调度问题,取得了满意的结果。
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引用次数: 0
A target-guided adaptive path planning method for air-ground cross-domain unmanned swarm 空地跨域无人机群目标制导自适应路径规划方法
IF 8.5 1区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2025-12-03 DOI: 10.1016/j.swevo.2025.102220
Qiang Peng , Husheng Wu , Renjun Zhan , Jingyi Geng , Yuanqing Xia , Lining Xing
The air-ground cross-domain unmanned swarm is widely used in military reconnaissance, disaster rescue and other fields, but its path planning faces severe challenges such as heterogeneous swarm coordination and highly dynamic obstacle avoidance in complex dynamic environments. Aiming at these technical difficulties, this paper proposes a target-guided adaptive path planning method (TAPP) inspired by the running behaviour of wolf packs in nature. The method adopts a parallel graph search strategy, dynamically fuses target location information to guide individual path planning, and simulates the autonomous decision-making mechanism of individual wolves. A local avoidance mechanism based on dynamic prioritization is also introduced to avoid motion conflicts while ensuring the efficiency of the swarm task. In order to comprehensively evaluate the effectiveness of the method, a complex air-ground cross-domain cooperative simulation scenario is designed, and systematic comparison experiments between the proposed method and several advanced path planning algorithms are conducted. The experimental data show that the proposed method demonstrates significant advantages in computational efficiency, path optimization, and adaptability, especially when dealing with large-scale and highly dynamic unmanned swarm tasks. The proposed method provides a solution for unmanned swarm path planning, which has a good application prospect.
地空跨域无人群在军事侦察、灾害救援等领域有着广泛的应用,但其路径规划面临着复杂动态环境下异构群协调和高动态避障等严峻挑战。针对这些技术难点,本文提出了一种受自然界狼群奔跑行为启发的目标导向自适应路径规划方法(TAPP)。该方法采用并行图搜索策略,动态融合目标位置信息指导个体路径规划,模拟个体狼的自主决策机制。引入基于动态优先级的局部回避机制,在保证群任务效率的同时避免运动冲突。为了全面评价该方法的有效性,设计了复杂的空地跨域协同仿真场景,并与几种先进的路径规划算法进行了系统的对比实验。实验数据表明,该方法在计算效率、路径优化和适应性方面具有显著优势,特别是在处理大规模、高动态的无人群体任务时。该方法为无人驾驶群体路径规划提供了一种解决方案,具有良好的应用前景。
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引用次数: 0
An Improved Tuna Swarm Optimization Algorithm based XGBOOST Classification Method for Food Risk Evaluation 基于改进金枪鱼群优化算法的XGBOOST食品风险评价分类方法
IF 8.5 1区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2025-12-03 DOI: 10.1016/j.swevo.2025.102249
Yongming Han , Fan Yu , Jiaxin Liu , Zhen Zhang , Bo Ma , Ling Wang , Zhiqiang Geng
Food safety is a major issue related to people's livelihood, which constantly affects human health. Currently, the effectiveness of many promising food safety risk evaluation methods is strongly depended on the static hyperparameter configuration due to complexity and diversity of hyperparameters. Therefore, this paper proposes a novel extreme gradient boosting (XGBOOST) classification method based on the improved tuna swarm optimization (ITSO) algorithm incorporating a dynamic adaptive mechanism to evaluate the food risk. The ITSO optimizes the initial population using an elite reverse learning strategy to prevent premature convergence. Meanwhile, a two-stage Nnonlinear function is designed to adjust the probability of spiral foraging strategy and parabolic foraging strategy, which makes the ITSO quickly explore the global search spatial in the early stage, and focus on local search spatial in the later stage. Furthermore, the Lévy Flight strategy is used to improve the abilities of searching and jumping out of the local optimum. Finally, the hybrid ITSO-XGBOOST is constructed, and the ITSO is used to adaptive optimizing the parameters of the XGBOOST to improve the food risk evaluation ability. Compared with traditional optimization algorithms, the ITSO demonstrates its superiority on seven different functions. And the experiments on a real-world multi-indicator dairy dataset verifies the proposed method. Specifically, compared with baselines, all evaluation indexes show the significant advantages of the ITSO-XGBOOST with the highest accuracy of 82.61 % and the F1 of 82.09 %, which fully verifies the stably and accurately accessing ability of the proposed method in the complex scenario of multiple indexes.
食品安全是关系民生的重大问题,不断影响着人类的健康。目前,由于超参数的复杂性和多样性,许多有前景的食品安全风险评价方法的有效性在很大程度上依赖于静态超参数配置。为此,本文提出了一种基于改进的金枪鱼群优化(ITSO)算法的极限梯度提升(XGBOOST)分类方法,并结合动态自适应机制对食品风险进行评估。ITSO使用精英逆向学习策略来优化初始种群,以防止过早收敛。同时,设计了一种两阶段非线性函数来调整螺旋觅食策略和抛物线觅食策略的概率,使ITSO在早期快速探索全局搜索空间,在后期专注于局部搜索空间。在此基础上,利用lsamvy Flight策略提高了搜索和跳出局部最优的能力。最后,构建了混合ITSO-XGBOOST,并利用ITSO对XGBOOST参数进行自适应优化,提高了食品风险评价能力。与传统的优化算法相比,ITSO在7个不同的函数上显示出其优越性。在实际多指标乳制品数据集上的实验验证了该方法的有效性。与基线相比,各评价指标均显示出ITSO-XGBOOST的显著优势,最高准确率为82.61%,F1为82.09%,充分验证了所提方法在多指标复杂场景下稳定、准确的获取能力。
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引用次数: 0
A variant of united multi-operator evolutionary algorithms with application to livestock feed ration optimization 联合多算子进化算法的一种变体及其在牲畜饲料配粮优化中的应用
IF 8.5 1区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2025-12-03 DOI: 10.1016/j.swevo.2025.102238
Libin Hong , Dongxu Zhang , Tianxiang Cui
The United Multi-Operator Evolutionary Algorithms (UMOEAs) demonstrate high performance in evolutionary computation due to their combination of various operators for Differential Evolution (DE) variants and local search mechanisms, and have evolved into three versions over the last decade. In this work, a novel variant of the UMOEAs is proposed, named UMOEAs-IV. UMOEAs-IV employs a novel calculation method for the scaling factor F, which generates dynamic values to adaptively control the step size of mutation operators, a mutation strategy with complementary operators that better balance exploration and exploitation, an Estimation-of-Distribution Algorithm (EDA) to learn the probabilistic distribution of promising individuals, and a stagnation strategy to help individuals escape local optima. UMOEAs-IV is compared with 15 recently proposed DE-based algorithms and tested on the IEEE Congress on Evolutionary Computation 2017 (CEC2017) benchmark functions, showing superior performance over all of them. It is also applied to livestock feed ration optimization for beef and dairy cattle, where it shows top performance in the experimental results. The source code of UMOEAs-IV is provided at https://github.com/microhard1999/CODES.
联合多算子进化算法(umoea)由于结合了差分进化(DE)变体和局部搜索机制的各种算子,在进化计算中表现出高性能,并且在过去十年中已经发展成三个版本。在这项工作中,提出了一种新的umoea变体,命名为umoea - iv。UMOEAs-IV采用了一种新颖的缩放因子F的计算方法,该方法生成动态值以自适应控制突变算子的步长,采用了一种具有互补算子的突变策略,更好地平衡了探索和开发,采用了一种分布估计算法(EDA)来学习有希望个体的概率分布,采用了一种停滞策略来帮助个体逃避局部最优。umoas - iv与最近提出的15种基于de的算法进行了比较,并在IEEE进化计算大会2017 (CEC2017)基准函数上进行了测试,显示出优于所有算法的性能。并将其应用于肉牛、奶牛的饲料配给量优化,在试验结果中表现出最佳性能。umoas - iv的源代码提供于https://github.com/microhard1999/CODES。
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引用次数: 0
Generating continuous multi-objective benchmark problems by the object-oriented method 用面向对象方法生成连续多目标基准问题
IF 8.5 1区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2025-12-02 DOI: 10.1016/j.swevo.2025.102242
Qingshan Tan , Changhe Li , Miqing Li , Shengxiang Yang
Designing multi-objective benchmark test functions is an important topic in the field of evolutionary multi-objective optimization because it can help researchers identify the strengths and weaknesses of algorithms and contribute to improving their performance. However, existing methods for constructing multi-objective test problems exhibit certain specific limitations, such as the homogeneous structure of objectives, regular shapes of the Pareto optimal sets, and so on. To address these issues, this paper proposes an object-oriented construction method that abstracts components of a multi-objective optimization problem’s fitness landscape into classes. By designing attributes of these components, such as size, shape, position, and quantity, diverse test classes can be generated. Through a combination of these attributes, test cases with varying difficulty levels and distinct characteristics can be constructed. Based on this generator, several novel features are displayed. Moreover, five classic multi-objective evolutionary algorithms are tested on them. The results show different behaviors of these algorithms on the constructed test cases. At the same time, these generated features pose significant challenges to the tested algorithms.
设计多目标基准测试函数是进化多目标优化领域的一个重要课题,因为它可以帮助研究人员识别算法的优缺点,并有助于提高算法的性能。然而,现有的构造多目标测试问题的方法存在一定的局限性,如目标的齐次结构、Pareto最优集的规则形状等。为了解决这些问题,本文提出了一种面向对象的构造方法,该方法将多目标优化问题的适应度景观的组成部分抽象为类。通过设计这些组件的属性,例如大小、形状、位置和数量,可以生成不同的测试类。通过这些属性的组合,可以构建具有不同难度级别和不同特征的测试用例。在此基础上,显示了一些新颖的特征。并对五种经典的多目标进化算法进行了测试。结果显示了这些算法在构建的测试用例上的不同行为。同时,这些生成的特征对测试算法提出了重大挑战。
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引用次数: 0
RR-SMO: A novel optimization algorithm for enhancing route efficiency in outdoor sports equipment RR-SMO:一种提高户外运动装备路线效率的新型优化算法
IF 8.5 1区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2025-12-01 DOI: 10.1016/j.swevo.2025.102225
Xinxin Zhou , Xiangzhi Wu , Mingwei Wang , Youzhi Sun
The rise in sedentary lifestyles of people has led to a range of health problems, illustrating the need for innovative solutions to promote physical activity. Intelligent sports equipment has become important in promoting physical activity by providing real-time feedback and personalized guidance. However, the effectiveness of such equipment is often limited by suboptimal route planning and user interface design. Traditional algorithms frequently experience premature convergence and limited route diversity, leading to suboptimal navigation paths. Therefore, we proposed a novel Random Replacement based Slime Mold Optimization (RR-SMO) algorithm with a human-centered interface design for route optimization in outdoor sports equipment. The Random Replacement Strategy (RRS) is introduced into the algorithm to selectively adjust the dimensions of the best solution. This strategy helps to avoid premature convergence, boosts convergence speed, and ensures a diverse population, which contributes to more accurate and varied route planning in intricate navigation scenarios. Simultaneously, the interactive interface design for route navigation is designed with clear iconography, optimized touch targets, and adaptive visual cues to improve user experience. The comprehensive experimental assessment of the RR-SMO algorithm against existing algorithms using diverse metrics revealed that the RR-SMO algorithm achieves a navigation efficiency of 98.75 %, waypoint accuracy of 99.32 %, convergence time of 15 seconds, algorithm robustness of 97.82 %, a response time of 112 milliseconds, and an error rate of 5 %. The RR-SMO algorithm surpassed baseline methods by identifying optimal waypoints effectively and provides a scalable, intelligent solution for outdoor sports navigation to support healthy lifestyles.
人们久坐不动的生活方式的增加导致了一系列健康问题,表明需要创新的解决方案来促进身体活动。智能运动设备通过提供实时反馈和个性化指导,在促进身体活动方面变得非常重要。然而,这种设备的有效性往往受到次优路线规划和用户界面设计的限制。传统算法往往存在过早收敛和路径多样性有限的问题,导致导航路径次优。为此,我们提出了一种新的基于随机替换的黏菌优化算法(RR-SMO),该算法具有以人为中心的界面设计,用于户外运动器材的路线优化。该算法引入随机替换策略(RRS),选择性地调整最优解的维数。该策略避免了过早收敛,提高了收敛速度,保证了种群的多样性,有助于在复杂的导航场景中更准确、更多样化地规划路线。同时,对路线导航的交互界面设计进行了清晰的图标设计、优化的触摸目标和自适应的视觉提示,以提高用户体验。采用多种指标对RR-SMO算法与现有算法进行综合实验评估,结果表明,RR-SMO算法的导航效率为98.75%,航点精度为99.32%,收敛时间为15秒,鲁棒性为97.82%,响应时间为112毫秒,错误率为5%。RR-SMO算法通过有效地识别最佳路径点,超越了基线方法,为户外运动导航提供了可扩展的智能解决方案,以支持健康的生活方式。
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引用次数: 0
Evolutionary reinforcement learning with density-based behavioral diversity enhancement for berth allocation and crane assignment 基于密度行为多样性增强的进化强化学习在泊位分配和起重机分配中的应用
IF 8.5 1区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2025-12-01 DOI: 10.1016/j.swevo.2025.102241
Shengchang Li , Peilan Xu , Zhenglong Ding , Ziqian Kong , Wenjian Luo
The berth allocation and crane assignment problems (BACAPs) present significant challenges in marine transportation. While various mathematical solvers and heuristic algorithms exist for addressing these issues, they often suffer from time-consuming planning processes in complex and uncertain environments. Despite the introduction of reinforcement learning (RL), these studies typically focus solely on discrete berth allocation problems, disregarding crane assignment considerations. To facilitate an RL-based solution, this paper formulates a mathematical model for the continuous BACAP to define the decision environment. The model incorporates consecutive vessel berth positions, time-variant quay crane (QC) assignment, the maximum number of QCs per vessel, the cross-movement of QCs, and the safe distance between vessels. Subsequently, we propose an evolutionary reinforcement learning (ERL) framework as a novel solution to complex BACAPs. We establish an event-triggered Markov decision process (ET-MDP) and devise a feasibility-aware policy network using gated recurrent units (GRUs) and attention mechanisms. Additionally, we propose an evolution strategy based on density-based behavioral diversity enhancement (ES-DDE) as an optimizer for the policy network. This mechanism employs a niching strategy to construct multiple sub-populations and establish density landscapes. It drives each sub-population to explore low-density areas to increase the agent’s behavioral diversity and mitigate bias induced by deceptive rewards. Finally, we evaluate the performance of the proposed ERL-DDE on a set of 15 BACAP cases. Comparative analysis against several state-of-the-art heuristics and RL algorithms demonstrates the superior performance of ERL-DDE.
泊位分配和起重机分配问题(BACAPs)是海洋运输中的一个重大挑战。虽然存在各种数学求解器和启发式算法来解决这些问题,但它们通常在复杂和不确定的环境中受到耗时的规划过程的影响。尽管引入了强化学习(RL),但这些研究通常只关注离散泊位分配问题,而忽略了起重机分配的考虑。为了便于基于强化学习的解决方案,本文为连续BACAP制定了一个数学模型来定义决策环境。该模型考虑了船舶连续泊位、时变码头起重机分配、每艘船舶最大码头起重机数量、码头起重机的交叉移动以及船舶之间的安全距离。随后,我们提出了一种进化强化学习(ERL)框架作为复杂bacap的新解决方案。我们建立了一个事件触发的马尔可夫决策过程(ET-MDP),并使用门控循环单元(gru)和注意机制设计了一个可行性感知策略网络。此外,我们提出了一种基于基于密度的行为多样性增强(ES-DDE)的进化策略作为策略网络的优化器。该机制采用生态位策略来构建多个亚种群并建立密度景观。它驱动每个子种群探索低密度区域,以增加代理的行为多样性,并减轻由欺骗性奖励引起的偏见。最后,我们在一组15个BACAP案例中评估了所提出的ERL-DDE的性能。通过与几种最先进的启发式算法和强化学习算法的比较分析,证明了ERL-DDE的优越性能。
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引用次数: 0
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Swarm and Evolutionary Computation
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