Linear Quadratic Optimal Control of Passenger Flow in Urban Rail Transfer Stations

  • Huijuan Zhou
  • Qiang Zhang
  • Yanwei Feng
  • Yu Liu
  • Guorong Zheng
Conference paper
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 482)


In order to solve the problem of overload passenger flowing in urban rail transfer stations at peak hour, this paper proposes a passenger flow control model for transfer stations. To minimize the passenger density on platform, the passenger flow control model is built based on linear quadratic optimal control theory. And the optimal control passenger sequence flowing into platform is calculated during the control periods. Finally, taking Huixinxijienankou Station on lines 5 and 10 in Beijing subway as an example, the station simulation model using Anylogic software is established and used to verify the passenger flow control model. The simulation results show that the control model can reduce the passenger flow effectively on platform at peak hour and provides guidelines for boarding limit.


Urban rail traffic Passenger flow control Linear quadratic optimal control Anylogic simulation 



The authors would like to acknowledge the support of National Key R&D Program of China (2016YFB1200402) and Scientific Research Project of Beijing Education Committee (PXM2017-014212-000031, PXM2017-014212-000033).


  1. 1.
    Liu L, Jiang L (2011) Research on inflow control for urban mass transit network. Railway Transp Econ 33(5): 51–55 (in Chinese)Google Scholar
  2. 2.
    Zhao P, Yao X, Yu D (2014) Cooperative passenger inflow control of urban mass transit at peak hour. J Tongji Univ (Nat Sci) 42(9):1340–1346 (in Chinese)Google Scholar
  3. 3.
    Yao X, Zhao P, Qiao K et al (2015) Passenger flow coordination control model of urban rail transit network. J Central South Univ (Nat Sci) (1):342–350 (in Chinese)Google Scholar
  4. 4.
    Shuwei W, Lishan S, Jian R (2014) Study on the control measures of rail transit large passenger flow. Urban Rapid Rail Transit 27(1):16–18Google Scholar
  5. 5.
    Fruin JJ (1971) Pedestrian planning and design. Metrop Assoc Urban Designers Environ PlannersGoogle Scholar
  6. 6.
    Hankin BD, Wright RA (1958) Passenger flow in subways. J Oper Res Soc 9(2):81–88CrossRefGoogle Scholar
  7. 7.
    Li M, Wang Y, Jia L (2015) Passenger flow modes and control strategies in urban rail transit station. J Southeast Univ (Nat Sci) (6):1203–1208 (in Chinese)Google Scholar
  8. 8.
    Zhao Y, Mao B, Yang YZ et al (2011) Methods of calculating the maximum assembling on urban rail transit platforms. J Transp Syst Eng Inf Technol 4(1):30–35 (in Chinese)Google Scholar
  9. 9.
    Zhao M (2011) Research on the relationship between the urban rail transit platform and the departure intervals. Beijing Jiaotong University (in Chinese)Google Scholar
  10. 10.
    Helbing D (1991) A mathematical model for the behavior of pedestrians. Behav Sci 36(4):298–310CrossRefGoogle Scholar
  11. 11.
    Laxman KK, Rastogi R, Chandra S (2015) Pedestrian flow characteristics in mixed traffic conditions. J Urban Plan Dev 136(1):23–33CrossRefGoogle Scholar
  12. 12.
    Xie W (2012) Passenger control scheme for urban rail transit station. Beijing Jiaotong University (in Chinese)Google Scholar
  13. 13.
    Liang YJ, Yuan ZZ (2014) Assignment performance at Beijing south railway station based on Anylogic simulation. Adv Mater Res 989–994:2283–2287CrossRefGoogle Scholar
  14. 14.
    Zhao L, Zheng Y, Xie J (2016) Simulation of urban transit station based on Anylogic. Railway Comput Appl 25(3):62–66 (in Chinese)Google Scholar

Copyright information

© Springer Nature Singapore Pte Ltd. 2018

Authors and Affiliations

  • Huijuan Zhou
    • 1
  • Qiang Zhang
    • 1
  • Yanwei Feng
    • 2
  • Yu Liu
    • 1
  • Guorong Zheng
    • 1
  1. 1.Beijing Key Lab of Urban Road Transportation Intelligent Control TechnologyNorth China University of TechnologyShijingshan District, BeijingPeople’s Republic of China
  2. 2.Hisense Trans Tech Co., Ltd.QingdaoChina

Personalised recommendations