Master equation approach to the intra-urban passenger flow and application to the Metropolitan Seoul Subway system

Details Master equation approach to the intra-urban passenger flow and application to the Metropolitan Seoul Subway system Master equation approach to the intra-urban passenger flow and application to the Metropolitan Seoul Subway system

2011-04-03

arxiv.org/abs/1104.0368v1

J. Phys. A: Math. Theor. 44 (2011) 115007

Physics

Physics and Society

16 pages, 7 figures and 2 tables

Scientific paper

10.1088/1751-8113/44/11/115007

The master equation approach is proposed to describe the evolution of passengers in a subway system. With the transition rate constructed from simple geographical consideration, the evolution equation for the distribution of subway passengers is found to bear skew distributions including log-normal, Weibull, and power-law distributions. This approach is then applied to the Metropolitan Seoul Subway system: Analysis of the trip data of all passengers in a day reveals that the data in most cases fit well to the log-normal distributions. Implications of the results are also discussed.

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