Analysis of subway station capacity with the use of queueing theory

Authors

Xin-yue Xu
Jun Lui
Hai-ying Li
Jian-Qiang Hu

Document Type

Journal Article

Publication Date

2014

Subject Area

mode - subway/metro, place - asia, operations - capacity

Keywords

Subway station capacity, Response surface methodology, Queuing network, Remaining passengers, Incoming passenger control

Abstract

A new concept of subway station capacity (SSC) is defined according to the gathering and scattering process. A queuing network analytical model of station is created for calculating SSC, which is built by M/G/C/C state dependent queuing network and discrete time Markov chain (DTMC). Based on the definition and the analytical queuing network, a SSC optimization model is developed, whose objective function is to optimize SSC with a satisfactory rate of remaining passengers. Besides, a solution to the model is proposed integrating response surface methodology with iterative generalized expansion method (IGEM) and DTMC. A case study of Beijing Station in Beijing subway line 2 is implemented to verify the validity and practicability of the proposed methods by comparison with simulation model in different experiments. Finally, some sensitivity analysis results are provided to identify the nodes that have the greatest impact on SSC.

Rights

Permission to publish the abstract has been given by Elsevier, copyright remains with them.

Comments

Transportation Research Part C Home Page:

http://www.sciencedirect.com/science/journal/0968090X

Recommended Citation

Xu, X., Liu, J., Li, H., & Hu, J.,Q (2014). Analysis of subway station capacity with the use of queueing theory. Transportation Research Part C: Emerging Technologies Volume 38, January 2014, Pages 28–43.