数学理论与应用 ›› 2022, Vol. 42 ›› Issue (4): 115-.doi: 10.3969/j.issn.1006-8074.2022.04.010

• • 上一篇    

基于多阶段 M/M/s 排队模型的机场安检流程优化研究

方秋莲 ,陈思琪,陈炜蓉, 董尚懿, 言鹏韦
  

  1. 中南大学数学与统计学院,长沙 410083
  • 出版日期:2022-12-28 发布日期:2022-12-16
  • 通讯作者: 方秋莲 (1972−),副教授,博士,从事统计与运筹学研究;E−mail:836460912@qq.com
  • 基金资助:
    国家自然科学基金项目(No. 12071487)资助

Research on Optimization of Airport Security Check Process  Based on Multi-stage M/M/s Queuing Model

Fang Qiulian∗  ,Chen Siqi, Chen Weirong, Dong Shangyi, Yan Pengwei
  

  1. School of Mathematics and Statistics, Central South University, Changsha 410083, China
  • Online:2022-12-28 Published:2022-12-16

摘要:

本文针对机场安检过程中顾客常常遇到的队列极长现象, 研究机场安检流程的优化. 首先, 将机场安检流程依序拆分成身份审核、准备机器扫描、机器扫描和人工扫描四个阶段, 构建多阶段排队模型$M/M/s$. 然后, 基于2017年ICM中D题所提供的数据进行实证分析, 从队列规模和排队机制两个角度对排队模型进行优化. 实证分析结果表明, 当$s$等于3时顾客在系统中的平均等待时长显著减小, 系统可靠性显著提升; 此外, 多角度灵敏度分析显示所得模型稳健性较好.最后, 我们根据以上分析结果, 针对目前的机场安检流程及安检设施建设提出了一些改进建议.

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Abstract:

Concering the extremely long queues that customers often encounter during the airport security check process, this paper studies the optimization of the airport security check process. Firstly, the airport security check process is divided into four stages: identity verification, preparation for machine scanning, machine scanning, and manual scanning, and is modeled as a multi-stage queuing system $M/M/s$. Then with the data provided in Question D of ICM 2017 empirical analysis is performed and the model is futher optimized from the perspective of queue size and queuing mechanism. The results of empirical analysis show that when $s$ is equal to 3, the average waiting time of customers in the system is reduced significantly, and the system reliability is improved significantly; In addition, the multi-angle sensitivity analysis shows that the model has good robustness. Finally, based on the analysis results, some suggestion

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