A Queueing Analysis of a Security-Check System with Two Types of Inspection Channels

This paper studies a security-check system at the high-speed railway stations with two types of inspection channels, including Normal channels and Green channels. Here, general passengers go through the strict inspections in the Normal channels with unlimited waiting space, whereas special passengers are offered a fast inspection in the Green channels with a finite capacity. To investigate the stationary behavior of the studied security-check system, a queueing model is developed through deriving the two-dimensional quasi-birth-and-death (QBD) process. In addition, a matrix-geometric solution is presented in the paper to determine the steady-state probability and evaluate the system performance of interest, such as the average queue length and average waiting time. A sensitivity analysis is also conducted in the numerical experiments to demonstrate the managerial impact of varying the finite capacity in Green channels on the overall system performance. Keyword—security check; queueing system; green channels; finite capacity; matrix geometric method

[1]  Chia-Hung Wang,et al.  A Modelling Framework for Managing Risk-Based Checkpoint Screening Systems with Two-Type Inspection Queues , 2015, 2015 Third International Conference on Robot, Vision and Signal Processing (RVSP).

[2]  王嘉宏.  通关安全检查系统的运作模式与仿真研究综述 A Review of Operational Mechanisms and Simulations for Security Screening Systems , 2017 .

[3]  Zhe George Zhang,et al.  Modeling Security-Check Queues , 2011, Manag. Sci..

[4]  Li Lin,et al.  Simulation-based Selectee Lane queueing design for passenger checkpoint screening , 2012, Eur. J. Oper. Res..

[5]  Adel W. Sadek,et al.  Border crossing delay prediction using transient multi-server queueing models , 2014 .

[6]  Mu-En Wu,et al.  Inspection Risk and Delay for Screening Cargo Containers at Security Checkpoints , 2015, 2015 International Conference on Intelligent Information Hiding and Multimedia Signal Processing (IIH-MSP).

[7]  Ignacio J. Turias,et al.  A two-stage procedure for forecasting freight inspections at Border Inspection Posts using SOMs and support vector regression , 2015 .

[8]  Chia-Hung Wang,et al.  Performance Evaluation of a Risk-based Three-tier Inspection System , 2017 .

[9]  Marcel F. Neuts,et al.  Matrix-Geometric Solutions in Stochastic Models , 1981 .

[10]  Bo van der Rhee,et al.  Virtual queuing at airport security lanes , 2013, Eur. J. Oper. Res..

[11]  Emmanuel Matsika,et al.  Development of Risk Assessment Specifications for Analysing Terrorist Attacks Vulnerability on Metro and Light Rail Systems , 2016 .

[12]  Julie L Virta,et al.  Analyzing the cost of screening selectee and non-selectee baggage. , 2003, Risk analysis : an official publication of the Society for Risk Analysis.

[13]  Zhe George Zhang,et al.  Performance Analysis of a Queue with Congestion-Based Staffing Policy , 2009, Manag. Sci..

[14]  Chia-Hung Wang.  Arena Simulation for Aviation Passenger Security-Check Systems , 2016, ICGEC.

[15]  Zhe George Zhang,et al.  A Queueing Model for Tiered Inspection Lines in Airports , 2016 .