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考虑多商品需求与库存差异的多车场协同配送车辆路径优化

Multi-Depot Collaborative Distribution Routing Optimization Considering Multi-commodity Demand and Inventory Heterogeneity

  • 摘要: 针对现有多车场车辆路径研究多局限于同质商品配送的问题,提出考虑车场商品库存差异与客户多商品需求的多车场协同配送车辆路径问题(multi-depot collaborative distribution vehicle routing problem with multi-commodity, MDCDVRPMC),通过订单拆分处理异构需求,构建以运输成本最小化为目标的混合整数规划模型,并设计增强型自适应大邻域搜索(enhanced adaptive large neighborhood search,EALNS)算法进行求解。该算法融合K-means聚类、节约算法和贪婪重组策略生成初始解,采用自适应大邻域搜索算法避免早熟收敛,结合2-OPT邻域操作与模拟退火Metropolis准则实现深度优化。最后,采用Gurobi求解器与自适应大邻域搜索( ALNS)、遗传算法(genetic algorithm,GA)和蚁群算法(ant colony optimization,ACO)进行标准案例测试,验证模型正确性与算法性能。结果表明:EALNS在保证解质量的前提下,求解效率显著提升(求解时间仅为Gurobi的2%);相较于对比算法,其求解质量提升13%~35%,解稳定性提高20%~40%,展现出更优的收敛性能和鲁棒性。研究成果为复杂物流环境下多多车场的协同配送提供了高效解决方案,有效拓展了车辆路径优化理论在实际物流场景中的应用范围。

     

    Abstract: The multi-depot collaborative distribution vehicle routing problem with multi-commodity (MDCDVRPMC) was proposed to address the limitation of existing multi-depot vehicle routing research that primarily focused on homogeneous commodity distribution, by considering both depot inventory differences and customer multi-commodity demands. A mixed-integer programming model was established with the objective of minimizing transportation costs through order splitting to handle heterogeneous demands, and an enhanced adaptive large neighborhood search (EALNS) algorithm was designed for solution. The algorithm integrated K-means clustering, the savings algorithm, and greedy recombination strategies to generate initial solutions, while adaptive large neighborhood search was employed to prevent premature convergence, combined with 2-OPT neighborhood operations and the Metropolis criterion of simulated annealing for deep optimization. Finally, the model correctness and algorithm performance were verified through standard case tests using the Gurobi solver, adaptive large neighborhood search (ALNS), genetic algorithm (GA), and ant colony optimization (ACO). The results demonstrate that the EALNS achieves significant improvement in solving efficiency while ensuring solution quality (the solving time is only 2% of Gurobi's); compared with benchmark algorithms, the solution quality is improved by 13%-35% and solution stability is enhanced by 20%-40%, showing superior convergence performance and robustness. The research findings are recognized as providing an efficient solution for collaborative distribution in complex multi-depot logistics environments, effectively expanding the application scope of vehicle routing optimization theory in practical logistics scenarios.

     

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