Dynamic inference for left behind probabilities on congested metro routes

Document Type

Journal Article

Publication Date

2025

Subject Area

mode - subway/metro, planning - methods, technology - passenger information, technology - ticketing systems

Keywords

Automated data, boarding probabilities, left-behind probabilities, EM algorithm, Monte Carlo simulation

Abstract

Passengers left behind is an important measure to describe the degree of congestion in metro systems. Note that passengers’ left behind probabilities are different for their different tap-in times. This paper proposes a methodology for inferring these dynamic probabilities on congested metro routes using automated data. The EM algorithm is used to compute the maximum likelihood estimators of passengers’ dynamic boarding probabilities, and then formulas for estimating dynamic left behind probabilities are presented based on the estimated boarding probabilities. Monte Carlo simulations and a real case application show the effectiveness of the proposed method.

Rights

Permission to publish the abstract has been given by Taylor&Francis, copyright remains with them.

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