|
| the set of stations |
, | stations |
| the set of track sections |
| track section |
| a train |
| a line traversed by train |
| the station on line |
| the number of stations on line |
| the train stop pattern on line |
| a 0-1 variable, the stop sign of train at station , |
| a set consisting of all possible train stop patterns on line |
| a line plan |
| the departure time of train at station |
| the arrival time of train at station |
| the sequence of departure times of train |
| the sequence of arrival times of train |
| the carriage composition of train |
| the seat capacity of train |
| the segment of train running between two neighborhood stop stations and , |
SPAM-TBP | a schedule-based passenger assignment method for high-speed rail networks considering the ticket-booking process |
| the length of |
| the horizon time |
| the ticket pre-sale period |
| set of passenger origin-destination pairs |
| an O-D pair |
| time-dependent demand of the O-D pair for and |
| the set of time-dependent demand for all O-D pairs |
| time deviation between the expected departure time and the actual boarding time |
| time on trains |
| transfer time |
, , | the value weights of , and respectively |
| the minimum travel cost of passengers for O-D pair with expected departure time and ticket-booking time |
| the time when there is no seat capacity for the passengers of O-D pair in the pre-sale period |
| the train running time on track section |
| the sum of dwell time and additional time for engine starting and stopping at station |
| the number of passengers assigned on train segment |
| the upper bound on the number of running trains per unit time for track section |
| unit time |
| a 0-1 variable, labeling whether train enters track section within the th time interval |
| a 0-1 function telling if station is same as station |
| The maximum gap between the number of starting trains and that of ending trains at a station |
| weight of train in operational cost |
| the operational cost of all trains |
| travel cost for passengers who are served |
| the penalty cost for passengers who are unserved |
| the objective function |
, | the weights in the objective function for trains and passengers respectively |
| the load factor of train |
|