Emergency events such as natural disasters, environmental events, sudden illness, and social security events pose tremendous threats to people’s lives and property security. In order to meet emergency service demands by rationally allocating mobile facilities, an emergency mobile facility routing model is proposed to maximize the total served demand by the available mobile facilities. Based on the uninterruptible feature of emergency services, the model abstracts emergency events act as a combination of multiple uncertain variables. To overcome the computational difficulty, a robust optimization approach and genetic algorithm are employed to obtain solutions. Illustrative examples show that it provides an effective method for solving the emergency mobile facility routing problem, and that the risk factor and penalty factor of the model can further guide decision-making.

自然灾害、环境事件、突发疾病、社会安全事件等突发事件对人民群众生命财产安全构成巨大威胁。为了通过合理分配移动设施来满足紧急服务需求，提出了一种紧急移动设施路由模型，以最大化可用移动设施的总服务需求。该模型基于应急服务不间断的特点，将应急事件抽象为多个不确定变量的组合。为了克服计算困难，采用稳健的优化方法和遗传算法来获得解决方案。算例表明，该方法为解决应急移动设施路径问题提供了有效方法，模型的风险因子和惩罚因子可以进一步指导决策。