基于改进遗传算法的多异构无人水面艇任务分配方法

Multi-heterogeneous Unmanned Surface Vehicles Task Assignment Method Based on Improved Genetic Algorithm

  • 摘要: 针对多异构无人水面艇(USV)协同访问多目标点的任务分配问题,本文以最小化USV集群总航行距离和最大化目标点访问总收益为双重优化目标,建立了考虑多异构USV多目标点访问任务分配问题的双目标优化数学模型。本文提出一种改进的非支配排序遗传算法(INSGA-II):首先,针对多优化目标设计了启发式算法构造初始解;其次,利用快速非支配排序机制对解集进行分类及选择;最后,结合自适应接受概率机制和局部搜索,以兼顾全局探索与局部优化。对比分析表明,INSGA-II显著提升了求解质量。相较于协同进化多种群遗传算法(CMGA)与经典算法NSGA-II,INSGA-II不仅将总旅行距离分别降低了15.6%和16.9%,还在目标点访问总奖励上实现了平均7.9%的提升,实现了多目标间更优的帕累托平衡。总而言之,该改进算法不仅在不同规模的任务场景下均保持了极强的鲁棒性,也为未来大规模无人船集群的智能协同控制提供了更具竞争力的理论依据与算法参考。

     

    Abstract: To address the task assignment problem of multi-heterogeneous unmanned surface vehicles (USVs) cooperatively visiting multiple targets, we establish a bi-objective mathematical model. The dual optimization objectives are to minimize the total travel distance of the USV fleet and to maximize the total reward from target visits. Furthermore, an improved non-dominated sorting genetic algorithm II (INSGA-II) is proposed. First, a heuristic algorithm tailored to the multiple objectives is designed to construct the initial solutions. Second, a fast non-dominated sorting mechanism is utilized to classify and select the solution set. Finally, an adaptive acceptance probability mechanism is integrated with a local search strategy to strike a balance between global exploration and local exploitation. Comparative analyses indicate that INSGA-II significantly enhances solution quality. Compared with the improved CMGA (coevolutionary multi-population genetic algorithm) and the classic NSGA-II algorithms, INSGA-II reduces the total travel distance by 15.6% and 16.9%, respectively, while achieving an average increase of 7.9% in the total reward of target visits, thereby realizing a superior Pareto balance among the multiple objectives. In conclusion, the proposed algorithm not only demonstrates strong robustness across task scenarios of varying scales, but also provides a highly competitive theoretical foundation and algorithmic reference for the intelligent cooperative control of large-scale USV swarms in the future.

     

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