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| Variables | Units | Description |
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| - | Arrival / Departure time of train m at station i of line l |
| trains/hour | Train frequency of line l |
| min | Headway of line l |
| - | Index of stations (i, j,) |
| - | Index of lines ( and ) |
| - | The set of lines |
| - | Index of pick-up/delivery trains (, and ) |
| - | The set of stations |
| pass/s | Number of passengers from stations i to j via transfer station s at t |
| - | Index of routes (, and ) |
| pass | Number of transfer pass from train line to train m line l at s |
| pass | Number of pass from sta. i to j on train line via train m line l at s |
| min/pass | Average TWT at transfer station s / on line l / on route r |
| min | Total TWT |
| min | TWT at transfer station s / on line l / on route r |
| - | The set of routes |
| - | Index of transfer stations (, and ) |
| - | The set of transfer stations |
| - | Index of time |
| min | TWT from train of line to train m of line l at station s |
| min | Walking time from line to l at transfer station s |
| min | Passenger travel time from stations i to j via transfer station s |
| min | In-vehicle time from stations i to j via transfer station s |
| min | Adjustment of schedule departure time for trains on line l |
| min | Initial waiting time at station i |
| - | Binary var., 1 as passengers from train line to train m line l via s; otherwise, 0 |
| - | Binary var., 1 as transfer station s is on line l; otherwise, 0 |
| - | Binary var., 1 as line l belongs to route r; otherwise, 0 |
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