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| Notations | Meaning |
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| A HSR line |
| The number of stations on line |
| An OD (the origin is station and the destination is station ) |
| The set of train services on line |
| The set of ODs on line |
| The set of trains serving OD |
| A train service |
| The train seat capacity of train |
| The number of stop stations of train |
| The segment between two adjacent stop stations |
| A product (a transportation service from to provided by train ) |
| The number of divided periods |
| The number of allocated seats in period for product |
| The th booking period |
| The number of allocated seats for product |
| Full price |
| The lower bound of the price |
| The upper bound of the price |
| The price in period for product |
| The average price for product |
| The total revenue |
| The generalized travel cost of the passenger |
| Travel time for product |
| The time value of passenger |
| The average generalized travel cost of passengers for OD in period |
| The initial average generalized travel cost |
| The initial travel demand corresponding to |
| The price elastic parameter of passenger demand in period |
| The passenger travel demand for OD in period |
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