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

DOI

10.2991/mmsa-18.2018.23How to use a DOI?

Keywords

security check; queueing system; green channels; finite capacity; matrix geometric method

Abstract

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.

Copyright

© 2018, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Chia-Hung Wang
PY  - 2018/03
DA  - 2018/03
TI  - A Queueing Analysis of a Security-Check System with Two Types of Inspection Channels
BT  - Proceedings of the 2018 International Conference on Mathematics, Modelling, Simulation and Algorithms (MMSA 2018)
PB  - Atlantis Press
SP  - 102
EP  - 106
SN  - 1951-6851
UR  - https://doi.org/10.2991/mmsa-18.2018.23
DO  - 10.2991/mmsa-18.2018.23
ID  - Wang2018/03
ER  -