Study on Energy-Saving Optimization of Urban Rail Transit Train Timetable under Regenerative Braking

Table 1

Notations used in the formulation.

Notations	Detailed definition
Sets:
	Set of stations,
	Set of up trains,
	Set of down trains,
	Set of trains,
	Set of election sections,
Subscripts:
	The index of stations, .
	The index of trains, .
	The index of election sections,
Parameters:
	The range of the departure time of the train at the first station.
	The range of the dwell time of the train at the station .
	The range of the tracking interval time for train and adjacent train behind at station .
	0–1 parameter, if station and station are located in the same power supply section, then it takes 1, otherwise it takes 0.
	Duration of the deceleration process of the train arrives at the station .
	Duration of the acceleration process for the train leaves the station .
	The departure moment of the train at the initial station
	The range of the dwell time range of the train at the station .
	The standard operation time of the train running in the section from the station to the adjacent station .
Auxiliary variables:
	The moment when the train arrives at the station .
	0–1 variable, if the overlapping time of and is nonzero, then it takes 1, otherwise it takes 0.
	The overlapping time of and
Decision variables:
	The moment when the train leaves the station .
	Dwell time of the train at the station .