|
| Notation | Definition |
|
| Set of original trains |
| Set of additional trains that operators expect to add |
| Set of -trains |
| Set of -trains |
| Set of timestamps in the time horizon |
| Set of physical nodes, which represent all stations |
| Set of dummy physical nodes, which represent all stations |
| Set of physical links, which represent segments |
| Set of train types: 1 indicates -train and 2 indicates -train |
| Set of stopping plans: 1 indicates nonstop and 2 indicates stop |
| Set of space-time nodes |
| Set of dummy space-time nodes |
| Set of space-time travel arcs |
| Set of space-time station arcs |
| Index of trains, |
| Time index, |
| Index of physical nodes, |
| Index of dummy physical nodes that correspond to , |
| Index of train types, |
| Index of stopping plans, |
| Index of space-time travel nodes, |
| Index of dummy space-time travel nodes, |
| Index of physical links that represent segments, |
| Index of space-time travel arcs, |
| Index of space-time station arcs, |
| Travel times of trains of type on segment |
| Dwell time of trains on station in stopping plan |
| Selection indicator of the original train for space-time travel arc |
| Selection indicator of the original train for space-time station arc |
| Loading capacity of train at station |
| Passenger demand at station |
| Total passenger demand of all stations |
| Minimal departure headway |
| Minimal arrival headway |
| Required minimal number of -trains |
| Attendance rate of train |
| Maximum attendance rate |
| Minimal attendance rate |
| Capacity of each train |
|
