The last mile relief network is the final stage of the relief chain but the most critical stage for ensuring the timely delivery of relief supplies after a disaster. Due to the suddenness of the disaster, balancing the shortages of relief supplies and the high demands of victims is a serious problem. We introduce a mixed transport way of relief supply transportation between points of distributions and demand nodes in our problem to face the manpower and resource limitations. We establish a bi-objective distributionally robust optimisation model to balance transportation time and transportation safety, where the demand, transportation time, freight and safety coefficient are assumed to be uncertain variables with partial distribution information. We also deduce the refinement robust counterparts under the ambiguous sets to prove the safe tractable approximations of chance constraints. Finally, we conduct a case study of Tonghai county earthquake to illustrate the efficiency of our proposed distributionally robust model.

最后一公里救援网络是救援链的最后一环，也是确保灾后救援物资及时送达的最关键阶段。由于灾难的突然性，如何平衡救援物资的短缺和灾民的高需求是一个严重的问题。在我们的问题中，我们引入了一种在配送点和需求节点之间的救济物资运输的混合运输方式，以应对人力和资源的限制。我们建立了一个双目标分布鲁棒优化模型来平衡运输时间和运输安全，其中需求、运输时间、货运和安全系数被假设为具有部分分布信息的不确定变量。我们还推导出模糊集下的细化鲁棒对应物，以证明机会约束的安全易处理近似。最后，我们以通海县地震为例，说明我们提出的分布稳健模型的有效性。