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Variables or parameters | Definition |
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| Origin-destination (OD) pair in the transportation service which is composed of the train stops, from station to station , equivalent to segment |
| OD pair where ticket cancellation (refund) behavior occurs |
| Number of days (periods) included in the presale period |
| day (periods) in the presale period |
| Event, passenger arrival from the beginning of the presale period to the day. Equal to time period () |
| Number of passengers arriving |
| Gamma function |
| Parameters of negative binomial distribution |
| High-speed railway train, |
| 0-1 judgment variable, when train provides service between , then ; otherwise, |
| Passenger group, |
| The proportion of passenger group to all passengers between |
| Travel time of train between |
| Average price between |
| Average travel time between |
| Travel time of train |
| Utility obtained from train for passenger group between |
| Selection probability of passenger group choosing train between |
| Parameters of utility function |
| Number of remaining tickets between or |
| Capacity of train |
| Upper limit of the proportion of the refund service fee to the ticket price on the day |
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Decision variable | Definition |
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| Refund service fee of train on the day |
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