Mathematics (Mar 2023)

Dynamic Modeling for Metro Passenger Flows on Congested Transfer Routes

  • Weiyan Mu,
  • Xin Wang,
  • Chunya Li,
  • Shifeng Xiong

DOI
https://doi.org/10.3390/math11061427
Journal volume & issue
Vol. 11, no. 6
p. 1427

Abstract

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With the rapid development of urbanization, the metro becomes more and more important for people’s travel in big cities. To quantitatively describe metro passenger flows on congested transfer routes, this paper introduces a dynamic model based on automated data from the automatic fare collection (AFC) and automatic vehicle location (AVL) systems. An expectation maximization (EM) algorithm is proposed to compute the maximum likelihood estimates of unknown parameters in our model. Our model can yield a systematic analysis of one-transfer passenger flows on both population and individual aspects. Important characteristics, including transfer time, boarding probabilities, walking time, passenger-to-train assignment probabilities, and total travel time, can be inferred using only the AFC and AVL data. We provide a case study on the Beijing metro. Detailed analysis results based on our model are given. We also present a cross-validation method to validate our model with real data.

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