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

@article{Lee2011MasterEA,
  title={Master equation approach to the intra-urban passenger flow and application to the Metropolitan Seoul Subway system},
  author={Keumsook Lee and Segun Goh and Jong Soo Park and Woo-Sung Jung and M. Y. Choi},
  journal={Journal of Physics A},
  year={2011},
  volume={44},
  pages={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… 

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