Research Article

Synergistic Optimization Method for URT Network Train Connection Scheme in Peak and Off-Peak Periods

Table 3

Notation.

NotationsTypeDefinition

IndexTrain running direction: represents upward, and represents downward.
VariableDeparture 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)
VariableDeparture interval in the direction of line
VariableArrival 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)
VariableDeparture timestamp of the train in the direction of line at station
VariableNumber of passengers on the train in the direction of line who transfer to the direction of line at station
VariableArrival rate of transferred passengers to the direction of line from the direction of line
VariableTransfer walking time from the platform of the direction of line to the platform of the direction of line at station
VariableNumber of outbound passengers from the direction of line at station in the period
VariableAverage outbound rate of passengers from the direction of line at station
VariableNumber of passengers outside the station who take the train on line in the direction in the period
VariableAverage ratio of passengers outside the station arriving at the platform of the direction of line at station
VariableNumber of passengers who transfer to at station within the period
VariableNumber of passengers waiting for the upward or downward platform before the departure of the train on line at station
VariableNumber of passengers stranded on the platform of direction before the train leaves the station on line at station
VariableNumber of passengers deboarding from the train arriving at the direction of line at station
VariableNumber of passengers boarding the train arriving at the direction of line at station
VariablePassenger waiting time on the platform before the departure of the train
VariableResidual capacity of the train of line in the direction
VariableAverage arrival rate of transfer-in passengers to during the period
VariableNetwork transportation capacity after optimization
ConstantNetwork transportation capacity before optimization
ConstantPassenger capacity limit of the direction of line at station
ConstantMaximum load factor of the train
ConstantMinimum or maximum interval constraint value
ConstantRated capacity of each train in the direction of line
ConstantRunning time for the direction of line from the departure station to station
ConstantDwell time for the direction of line at station
ConstantAverage inbound rate of passengers from outside the station entering the platform of direction of line at station
ConstantAverage outbound rate of passengers from the direction of line at station
ConstantImportance value of transfer station