基于服务质量水平的随机之间覆盖模型与算法

研究了在城镇应急救援工作中具有重要作用的应急物资储备库布局优化问题。首先，考虑道路状况对应急救援效果的重要影响，引入道路风险系数概念，在覆盖半径内需求满意度递减思想的基础上，构建满意度衰减函数；其次，针对应急物资储备库物资供应能力有限且应急救援工作是一个动态过程的特点，从供需和时间维度2个角度出发，提出了城镇应急物资储备库动态多重覆盖模型。模型的优化目标是总需求满意度最大和总配送距离最短，并基于改进的免疫优化算法进行求解；最后，通过算例验证了模型和算法的有效性，从而为决策者进行应急物资储备库布局优化决策提供参考依据。

A hypercube queuing model for facility location and redistricting in urban emergency services

This article studies emergency material depository layout optimization, which plays an important role in urban emergency rescue. First, considering that the road condition has an important impact on the effect of emergency rescue, the concept of road damage risk factor is introduced in this article to build satisfaction attenuation function based on the thought of demand satisfaction decreasing within the coverage radius. Second, on account of the supply ability limitation of emergency material depository and the dynamic process of emergency rescue, this article proposes a dynamic multiple coverage model of urban emergency material depository from the perspective of supply and demand and time dimension. Using an improved immune optimization algorithm, the objective of this model is to maximize the total demand satisfaction and minimize the total distribution distance. Third, the validity of the model and algorithm is verified by numerical examples to provide advice for decision makers of the emergency material depository layout optimization.