Abstract: The railway emergency with multiple accident points, multiple resources and multiple rescue points may have insufficient resources in the initial stage of emergency rescue.How to scientifically and reasonably allocate the emergency resources of each accident point is related to the fairness and efficiency of rescue.The Shapley value allocation principle was proposed to determine the allocation of resources at each accident point.On this basis, a multi-objective optimization model was established to minimize the rescue time and transportation cost, and the solution was solved by Lingo software programming.Finally, an empirical analysis was carried out by a case study.Through the comparative analysis of rescue schemes under various allocation principles, the results show that the Shapley value allocation principle can better consider fairness and benefit under the allocation of resources at multiple accident points, which makes the allocation of limited resources more reasonable and the rescue scheme more scientific.

Key words: traffic and transportation engineering; railway audients; emergency resource scheduling; Shapley value allocation; fairness and efficiency; multi-objective programming

摘要： 多事故点-多资源-多救援点的铁路突发事件在应急救援初期可能存在资源不足的情形，如何科学、合理地分配各事故点的应急资源关系到救援的公平与效率。提出Shapley值分配原则确定各事故点的资源分配量，在此基础上建立救援时间最短及调运成本最小的多目标优化模型，并借助Lingo软件编程求解，最后以某案例进行实证分析。通过对多种分配原则下的救援方案进行比较分析。结果表明：Shapley值分配原则在多事故点资源分配下可以更好地兼顾公平和效益，使有限资源下的分配更为合理，救援方案更加科学。

关键词: 交通运输工程；铁路突发事故；应急资源调度；Shapley值分配；公平与效益；多目标规划