This paper presents a method for optimizing train-speed trajectory between two neighboring stations of a mass rapid transit system. This research uses the MAX-MIN ant system of the ant colony optimization algorithms to minimize energy consumption based on the framework of a moving-block signaling system of the mass rapid transit system. The alignment gradient is considered for energy saving. Several constrains, for example acceleration/deceleration and jerk of the train, as well as the average train speed, are also addressed according to the requirements of practical systems. In conclusion, this method will be used to design an operational system.

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