Abstract:
To develop operation plans for municipal railway express/local train mode and assess the robustness of the proposed scheme, targeting the characteristics of express/local train operation, a closedloop model for municipal railway express/local train operation system based on Maxplus algebra method is proposed. Method: Treating the train operation system as a typical discrete event dynamic system, the model variables and parameters are defined along with system constraints. The above method is employed to establish the openloop linear model of the train operation system and to perform the transformation for the model under express/local train mode. The Maxplus algebra method is utilized to establish the train operation system Maxplus closedloop linear model. A municipal railway with planned implementation of express/local train mode is taken as calculation example, the closedloop model for which is established, and the evolution process of the output is analyzed and solved. Finally, a train timetable is generated through the solution of the state transition variable matrix. Result & Conclusion: The express/local train operation system in the calculation example is stable, with system buffer time of 291 seconds for one cycle. By analyzing the robustness under singleparameter perturbation condition, the perturbation element value range that maintains the operational equilibrium of express/local train operation system is obtained. The departure time of the first train from the originating station doesn′t have robustness. When the 4th train is an express train and becomes the 3rd after overtaking the previous train, the overtaking time of this train at the overtaking station doesn′t have robustness as well.