Research Article

Profit Maximization Model with Fare Structures and Subsidy Constraints for Urban Rail Transit

Table 2

Notation.

ParametersDescriptionBaseline value

Average train operating cost per hour (¥/h-vehicle)1950
Elasticity parameter for wait time (1/h)0.6
Elasticity parameter for riding time (1/h)0.15
Elasticity parameter for the fare (1/¥)0.1
Number of stations19
Lower boundary of the fare (¥)0
Upper boundary of the fare (¥)7
Train dwell time at each station (h)1/120
Train reversing time (h)0.08
Train speed (km/h)40
Idle trains multiplier (the cost of the nonoperating trains is -times of the operating trains)0.24
Fixed maintenance costs per line kilometer (¥/km)3800
Cost parameter related to the rail line frequency (¥/h)525
Reserve factor (the nonoperating trains are -times the number of the operating trains)0.25
Ratio of waiting time to headway (1/h)0.5
Lower boundary of the headway (h)1/30 h (or 2 minutes)
Upper boundary of the headway (h)1/5 h (or 12 minutes)
Fixed cost parameter for each station (¥/km)4200
Service cost parameter per passenger at each station (¥)0.5