Research Article

Optimal Differential Pricing for Intercity High-Speed Railway Services with Time-Dependent Demand and Passenger Choice Behaviors under Capacity Constraints

Table 1

The main notations used.

An origin-destination (O-D) pair; is the departure station and is the arrival station for passengers
The demand of an O-D pair
The departure period
The probability of departing in the th period for the demand of an O-D pair
The time-dependent demand of an O-D pair departing in the th period
The set of stations
The set of all O-D pairs
A train
The set of all trains
The number of stop stations of train
The th stop station of train
The sequence of stop stations of train
A leg of train between stop stations and
The set of all the legs of train
The capacity of train
The running time of train on leg
The price of train on leg , the decision variable
The set of trains stopping at station and stopping at station
The running time of train on leg
The price of train on leg , the decision variable
The departure hour of train
The assignment ratio of the demand in the th stage
The set of alternative trains for O-D pair in the th stage
The accepted passenger demand for O-D pair and period in the th stage
The probability of selecting train from set for time-dependent demand
The number of passengers on leg at the end of the th stage
The number of stages of the ticket-booking process
The number of decision variables
The vector of the decision variables
The vector of the lower limits of the decision variables
The vector of the upper limits of the decision variables
Ticket revenue