提出高效算法优化灾荒救援运输路径,支持多模式转运与车辆兼容性。
Rich Vehicle Routing Problem in Disaster Management enabling Temporally-causal Transhipments across Multi-Modal Transportation Network
- 构建分层优化框架,融合决策树与随机权重搜索路径。
- 在大规模实例上比精确模型快数十倍,且解质量仍优。
- 适合灾害应急决策系统,尤其适用于复杂多模态运输场景。
本文研究一种丰富的车辆路径问题,允许多辆异构车辆从地理分散的车辆调度站出发,接入不同运输模式。问题源于真实需求:通过最小化车辆路径的完工时间(makespan)来优化灾荒响应速度。考虑多种功能节点,包括作为多式联运中转枢纽的转运站;支持同时与拆分的取货送货,针对多种货物类型,并包含车辆-货物与转运站-货物的兼容性约束。通过自研混合整数线性规划(MILP)模型验证所提级联最小化方法优于现有做法。为实现快速求解以应用于灾荒管理专用决策支持系统,设计了新型启发式算法(PSR-GIP),其基于决策树结构化可能路径,天然捕捉兼容性问题,并通过随机权重探索解空间。优先生成小型路径单元并聚合成簇,采用多种逻辑集成方式及逻辑轮换,同步生成多个独立解;最后对解进行扰动以寻找更优邻近解。在自建的新数据集上,该启发式算法在大规模整数实例上表现出色,远超传统MILP求解能力,能迅速给出高质量解。
原文摘要 · Abstract (English)
A rich vehicle routing problem is considered, allowing multiple trips of heterogeneous vehicles stationed at geographically distributed vehicle depots having access to different modes of transportation. The problem arises from the real-world requirement of optimizing the disaster response time by minimizing the makespan of vehicular routes. Multiple diversely-functional vertices are considered, including Transhipment Ports as inter-modal resource transfer stations. Both simultaneous and split pickup and delivery are considered, for multiple cargo types, along with Vehicle-Cargo and Transhipment Port-Cargo compatibilities. The superiority of the proposed cascaded minimization approach is demonstrated over the existing makespan minimization approaches through our developed Mixed-Integer Linear Programming formulation. To solve the problem quickly for practical implementation in a Disaster Management-specific Decision Support System, an extensive Heuristic Algorithm is devised which utilizes Decision Tree based structuring of possible routes; the Decision Tree approach helps to inherently capture the compatibility issues, while also explore the solution space through stochastic weights. Preferential generation of small route elements is performed, which are integrated into route clusters; we consider multiple different logical integration approaches, as well as shuffling the logics to simultaneously produce multiple independent solutions. Finally, perturbations of the different solutions are done to find better neighbouring solutions. The computational performance of the PSR-GIP Heuristic, on our created novel datasets, indicates that it is able to give good solutions swiftly for practical problems involving large integer instances that the MILP is unable to solve.
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