Stable Game Approach to Distributed Control of Transportation Systems

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This study proposes a game theoretic approach to designing real-time vehicle operation strategies that prevent vehicle bunching and delay propagation in railway/bus systems. We formulate dynamical systems of vehicle (train/bus) motion that includes two types of delay propagation models: one is a passenger boarding model at each station, and the other is a car-following model in each section between stations. We then introduce some distributed control schemes to maintain scheduled operation. By mapping the control scheme to a stable game framework, it is proved that the dynamical system under the proposed scheme is asymptotically stable at some equilibrium states