基于排队论的高铁车站安检设备运用优化研究  

Research on application by optimization of security inspection equipment in high-speed railway station based on queuing theory

作　　者：姚加林[1] 潘学成 YAO Jialin;PAN Xuecheng(School of Traffic and Transportation Engineering,Central South University,Changsha 410075,China)

机构地区：[1]中南大学交通运输工程学院,湖南长沙410075

出　　处：《铁道科学与工程学报》2020年第8期1919-1925,共7页Journal of Railway Science and Engineering

基　　金：国家自然科学基金高铁联合基金重点资助项目(U1834209)。

摘　　要：在高速铁路车站的进站流程中,旅客的进站安检是确保旅客安全乘车的重要环节。国内高铁车站均配置了一定数量的安检设备,而安检设备的运用开放数量则直接决定了单位时间内安检系统的平均队长。通过对实测数据拟合,验证安检区域旅客到达和离开过程均服从泊松分布,利用排队论建立车站安检设备运用开放数量与实时客流需求相匹配的优化模型,并基于边际分析法,运用MATLAB编程,求出不同客流条件下所对应的安检设备最优开放数量。实例表明,该方法可以有效地求出安检设备最优开放台数,使得车站安检设备的运用管理费和旅客排队等待时间成本之和最小。本文研究内容对我国高铁车站安检设备的运用具有一定的参考意义。In the process of entering a high-speed railway station,the security inspection is an important link to ensure the safety of passengers.Domestic high-speed railway stations are equipped with a certain number of security inspection equipment,and the number of open security inspection devices directly determines the average queue length of the security system per unit time.By fitting the measured data,this paper verified that the arrival and departure processes of passengers in the security inspection area obey poisson distribution.By using queuing theory,an optimization model is established to match the open quantity of security inspection equipment with the demand of real-time passenger flow.And based on the marginal analysis,MATLAB programming is used to find out the optimal number of security inspection equipment under different passenger flow conditions.The example shows that this method can effectively calculate the optimal number of security inspection devices,and minimize the sum of operating management fee and waiting time cost of the security inspection devices at the station.The results of this paper has certain significance for the application of security inspection equipment in China's high-speed railway stations.

关 键 词：高铁车站 排队论 边际分析法 安检开放数量 

分 类 号：U293[交通运输工程—交通运输规划与管理]