地铁训练动力学实时控制的训练时距方差最小化
Real-time control of metro train dynamics with minimization of train time-headway variance
摘要：
本文提出了一种线性地铁线路系统中训练动力学的实时控制模型。该模型描述了训练动力学考虑平均乘客到达率的平台，包括控制规律的训练停留和运行时间，基于反馈的训练动力学。该模型扩展了最近开发的Max-plus线性交通模型与需求相关的停留时间和运行时间控制。该延长允许消除训练间隔时间上的最终不规则性。由此产生的训练动力学解释为一个马尔可夫链的随机最优控制问题的动态规划系统。训练动力学仍然承认一个稳定的平稳政权与唯一的平均增长率解释为渐近平均训练时间间隔。此外，除了训练动力学的瞬态状态之外，我们的扩展保证了每个平台上的训练时间间隔的时间一致性。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
