TRAIN AGGREGATION IN A RAILWAY SUBSYSTEM BY MARKOV APPROACH

Bo-Liang Lin (), Jun-Wei Li () and Yong-Chang Huang
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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

International Journal of Modern Physics C (IJMPC), 2008, vol. 19, issue 03, 485-493

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.

Keywords: Markov process; master equation; train aggregation; least square trigonometric approximation; 02.50.Ey; 02.60.Ed; 02.30.Jr (search for similar items in EconPapers)
Date: 2008
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DOI: 10.1142/S0129183108012170

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