Synergistic Optimization Method for URT Network Train Connection Scheme in Peak and Off-Peak Periods
Table 3
Notation.
Notations
Type
Definition
Index
Train running direction: represents upward, and represents downward.
Variable
Departure timestamp of the train in the direction of line (when j = 0, this variable represents the departure timestamp of the last train before the research period)
Variable
Departure interval in the direction of line
Variable
Arrival timestamp of the train in the direction of line at station (when j = last + 1, this variable represents the arrival timestamp of the first train after the research period)
Variable
Departure timestamp of the train in the direction of line at station
Variable
Number of passengers on the train in the direction of line who transfer to the direction of line at station
Variable
Arrival rate of transferred passengers to the direction of line from the direction of line
Variable
Transfer walking time from the platform of the direction of line to the platform of the direction of line at station
Variable
Number of outbound passengers from the direction of line at station in the period
Variable
Average outbound rate of passengers from the direction of line at station
Variable
Number of passengers outside the station who take the train on line in the direction in the period
Variable
Average ratio of passengers outside the station arriving at the platform of the direction of line at station
Variable
Number of passengers who transfer to at station within the period
Variable
Number of passengers waiting for the upward or downward platform before the departure of the train on line at station
Variable
Number of passengers stranded on the platform of direction before the train leaves the station on line at station
Variable
Number of passengers deboarding from the train arriving at the direction of line at station
Variable
Number of passengers boarding the train arriving at the direction of line at station
Variable
Passenger waiting time on the platform before the departure of the train
Variable
Residual capacity of the train of line in the direction
Variable
Average arrival rate of transfer-in passengers to during the period
Variable
Network transportation capacity after optimization
Constant
Network transportation capacity before optimization
Constant
Passenger capacity limit of the direction of line at station
Constant
Maximum load factor of the train
Constant
Minimum or maximum interval constraint value
Constant
Rated capacity of each train in the direction of line
Constant
Running time for the direction of line from the departure station to station
Constant
Dwell time for the direction of line at station
Constant
Average inbound rate of passengers from outside the station entering the platform of direction of line at station
Constant
Average outbound rate of passengers from the direction of line at station