混合启发式算法求解分车收发车辆路径问题
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O224

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国家重点研发计划项目(No.2023YFA1011302);重庆市自然科学基金创新发展联合基金项目(No.CSTB2023NSCQ-LZX005)


A Hybrid Heuristic Algorithm for Solving the Split Delivery Vehicle Routing Problem
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    摘要:

    为解决分车收发车辆路径问题,采用由遗传算法和蚁群算法混合的启发式算法进行求解。该算法以遗传算法为主体结构,通过蚁群算法构建种群并改进交叉操作。在算法中,以完成运输任务所使用的总车辆数和所有车辆行驶的总路程为适应度函数,通过蚁群算法设计出以汽车容量、最大单程行驶距离和补货节点实空箱数为限制条件的路径构建原则,并结合遗传算法改进交叉变异方式,提高了收敛速度,保证了算法的泛化能力。随机生成不同规模的分车运输问题,将此算法与其他3种启发式算法进行比较,对小规模问题的求解结果证实了混合启发式算法的准确性;在求解较大规模问题时,也证明了混合启发式算法的求解效果更好。提出的混合启发式算法能够有效解决分车运输问题。

    Abstract:

    To solve the split delivery vehicle routing problem, a hybrid heuristic algorithm combining genetic algorithm and ant colony algorithm is adopted. This algorithm takes the genetic algorithm as the main structure and uses the ant colony algorithm to construct the population and improve the crossover operation. In the algorithm, the total number of vehicles used to complete the transportation task and the total distance traveled by all vehicles are taken as the fitness function. The ant colony algorithm designs the path construction principle with the vehicle capacity, the maximum one-way driving distance, and the number of empty containers at the replenishment nodes as the constraints. Combined with the genetic algorithm, the crossover and mutation methods are improved to enhance the convergence speed and ensure the generalization ability of the algorithm. By randomly generating split delivery transportation problems of different scales, this algorithm is compared with three other heuristic algorithms. The accuracy of the algorithm is verified through small-scale problems, and the hybrid heuristic algorithm performs better in solving large-scale problems. The proposed hybrid heuristic algorithm can effectively solve the split delivery transportation problem.

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张煜凯,张顺,张新功.混合启发式算法求解分车收发车辆路径问题[J].重庆师范大学学报自然科学版,2026,43(2):85-94

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  • 在线发布日期: 2026-06-11
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