中国物理B ›› 2010, Vol. 19 ›› Issue (10): 100510-100510.doi: 10.1088/1674-1056/19/10/100510

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Discrete-time movement model of a group of trains on a rail line with stochastic disturbance

杨立兴, 李峰, 高自友, 李克平   

  1. State Key Laboratory of Rail Traffic Control and Safety, Beijing Jiaotong University, Beijing 100044, China
  • 收稿日期:2010-02-12 修回日期:2010-04-09 出版日期:2010-10-15 发布日期:2010-10-15
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 70901006 and 60634010), the State Key Laboratory of Rail Traffic Control and Safety (Grant Nos. RCS2009ZT001 and RCS2008ZZ001), Beijing Jiaotong University, and the Innovation Foundation of Science and Technology for Excellent Doctorial Candidate of Beijing Jiaotong University (Grant No. 141034522).

Discrete-time movement model of a group of trains on a rail line with stochastic disturbance

Yang Li-Xing(杨立兴)†, Li Feng(李峰), Gao Zi-You(高自友), and Li Ke-Ping(李克平)   

  1. State Key Laboratory of Rail Traffic Control and Safety, Beijing Jiaotong University, Beijing 100044, China
  • Received:2010-02-12 Revised:2010-04-09 Online:2010-10-15 Published:2010-10-15
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 70901006 and 60634010), the State Key Laboratory of Rail Traffic Control and Safety (Grant Nos. RCS2009ZT001 and RCS2008ZZ001), Beijing Jiaotong University, and the Innovation Foundation of Science and Technology for Excellent Doctorial Candidate of Beijing Jiaotong University (Grant No. 141034522).

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摘要： This paper presents a discrete-time model to describe the movements of a group of trains, in which some operational strategies, including traction operation, braking operation and impact of stochastic disturbance, are defined. To show the dynamic characteristics of train traffic flow with stochastic disturbance, some numerical experiments on a railway line are simulated. The computational results show that the discrete-time movement model can well describe the movements of trains on a rail line with the moving-block signalling system. Comparing with the results of no disturbance, it finds that the traffic capacity of the rail line will decrease with the influence of stochastic disturbance. Additionally, the delays incurred by stochastic disturbance can be propagated to the subsequent trains, and then prolong their traversing time on the rail line. It can provide auxiliary information for rescheduling trains when the stochastic disturbance occurs on the railway.

Abstract: This paper presents a discrete-time model to describe the movements of a group of trains, in which some operational strategies, including traction operation, braking operation and impact of stochastic disturbance, are defined. To show the dynamic characteristics of train traffic flow with stochastic disturbance, some numerical experiments on a railway line are simulated. The computational results show that the discrete-time movement model can well describe the movements of trains on a rail line with the moving-block signalling system. Comparing with the results of no disturbance, it finds that the traffic capacity of the rail line will decrease with the influence of stochastic disturbance. Additionally, the delays incurred by stochastic disturbance can be propagated to the subsequent trains, and then prolong their traversing time on the rail line. It can provide auxiliary information for rescheduling trains when the stochastic disturbance occurs on the railway.

Key words: train movement, discrete-time model, simulation, stochastic disturbance

中图分类号:  (Stochastic processes)

  • 02.50.Ey
05.40.-a (Fluctuation phenomena, random processes, noise, and Brownian motion) 89.40.Bb (Land transportation)