Mathematical Theory and Applications ›› 2022, Vol. 42 ›› Issue (4): 115-.doi: 10.3969/j.issn.1006-8074.2022.04.010

Previous Articles    

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

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

Key words: