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Train Aggregation In A Railway Subsystem By Markov Approach

Author

Listed:
  • BO-LIANG LIN

    (State Key Lab of Rail Traffic Control and Safety, Beijing Jiaotong University, Beijing, 100044, China)

  • JUN-WEI LI

    (State Key Lab of Rail Traffic Control and Safety, Beijing Jiaotong University, Beijing, 100044, China)

  • YONG-CHANG HUANG

    (Institute of Theoretical Physics, College of Applied Sciences, Beijing University of Technology, Beijing 100022, China)

Abstract

We study the train aggregation behavior in a railway subsystem using the Markov approach. This approach is different from the queue theory, which is a main method to design some railway subsystems in the literature. With some simple assumptions, we solve the corresponding master equation describing the train aggregation behavior. Using the least square trigonometric approximation, we construct a continuous rate function for a real example, and show the evolution of the size of train cluster with time. Also the variance and relative error of the train aggregation are calculated.

Suggested Citation

  • Bo-Liang Lin & Jun-Wei Li & Yong-Chang Huang, 2008. "Train Aggregation In A Railway Subsystem By Markov Approach," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 19(03), pages 485-493.
    • Handle: RePEc:wsi:ijmpcx:v:19:y:2008:i:03:n:s0129183108012170
    DOI: 10.1142/S0129183108012170
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