首页|期刊导航|聊城大学学报(自然科学版)|多代理强化学习驱动遗传算法求解软时间窗电动车路径规划问题

多代理强化学习驱动遗传算法求解软时间窗电动车路径规划问题OA

Multi-agent reinforcement learning-driven genetic algorithm for solving the soft time window electric vehicle routing problem

中文摘要英文摘要

针对考虑电动车能耗、订单时间窗和车辆负载等约束条件的路径优化问题,首先,构建了以路径成本最小化为核心优化目标的混合整数规划模型;然后,根据问题特性,提出多代理强化学习驱动的遗传算法(Multi-Agent Reinforcement Learning-Driven Genetic Algorithm,MRLGA).在MRLGA算法中,运用多代理智能体动态调整遗传算法的变异交叉概率以及选择交叉操作,以提升算法的搜索效率;通过引入香农多样性指数衡量种群多样性,避免算法早熟收敛,有效维护种群的多样性;采用2-opt搜索算法增强局部搜索能力,同时引入离散莱维飞行策略提高全局搜索能力,实现对车辆路径的高效规划.最后,通过120个测试算例展开实验,结果表明所提MRLGA算法在满足复杂约束条件下,能有效降低路径成本,验证了算法的有效性和可行性.

For the path optimization problem considering constraints such as the energy consumption of e-lectric vehicles,order time windows,and vehicle loads,a mixed-integer programming model with the min-imization of path cost as the core optimization objective is first constructed.Then,based on the problem characteristics,a multi-agent reinforcement learning-driven genetic algorithm(MRLGA)is proposed for solving it.In the MRLGA,the multi-agent reinforcement learning method is used to dynamically optimize the mutation and crossover probabilities in the genetic algorithm and intelligently proxy the selection and crossover operations to enhance the algorithm's search efficiency.By introducing the Shannon diversity in-dex to measure population diversity,premature convergence is avoided,and effective maintenance of popu-lation diversity is achieved.The 2-opt search algorithm is adopted to enhance local search capabilities,and the discrete Lévy flight strategy is introduced to improve global search capabilities,achieving efficient ve-hicle path planning.Finally,experiments are conducted with 120 test cases,and the results show that the proposed MRLGA algorithm can effectively reduce path costs under complex constraints,verifying the ef-fectiveness and feasibility of the algorithm.

HAN Yuyan;AN Junyu;YANG Xiaoyu;WANG Yuting;LI Huan;TIAN Xinru

School of Computer Science,Liaocheng University,Liaocheng 252059,ChinaSchool of Computer Science,Liaocheng University,Liaocheng 252059,ChinaSchool of Computer Science,Liaocheng University,Liaocheng 252059,ChinaSchool of Computer Science,Liaocheng University,Liaocheng 252059,ChinaSchool of Computer Science,Liaocheng University,Liaocheng 252059,ChinaSchool of Computer Science,Liaocheng University,Liaocheng 252059,China

交通工程

车辆路径问题遗传算法香农多样性指数强化学习

vehicle routing problemgenetic algorithmshannon diversity indexreinforcement learning

《聊城大学学报(自然科学版)》 2026 (1)

32-43,12

国家自然科学基金项目(61973203,61803192,62106073,61966012)山东省自然科学基金项目(ZR2023MF022,ZR2024MF112)聊城大学光岳青年创新团队项目(LCUGYTD2022-03)资助

10.19728/j.issn1672-6634.2025040010

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