Real-time control of metro train dynamics with minimization of train time-headway variance
Abstract
We present here a real-time control model for the train dynamics in a linear metro line system. The model describes the train dynamics taking into account average passenger arrival rates on platforms, including control laws for train dwell and run times, based on the feedback of the train dynamics. The model extends a recently developed Max-plus linear traffic model with demand-dependent dwell times and a run time control. The extension permits the elimination of eventual irregularities on the train time-headway. The resulting train dynamics are interpreted as a dynamic programming system of a stochastic optimal control problem of a Markov chain. The train dynamics still admit a stable stationary regime with a unique average growth rate interpreted as the asymptotic average train time-headway. Moreover, beyond the transient regime of the train dynamics, our extension guarantees uniformity in time of the train time-headways at every platform.
Keywords
Cite
@article{arxiv.1809.02876,
title = {Real-time control of metro train dynamics with minimization of train time-headway variance},
author = {Florian Schanzenbacher and Nadir Farhi and Fabien Leurent and Gérard Gabriel},
journal= {arXiv preprint arXiv:1809.02876},
year = {2018}
}
Comments
Version updated on 29/10/2018, index error corrected. arXiv preprint, to appear in Proceedings of the 2018 IEEE Intelligent Transportation Systems Conference, Maui/Hawaii