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| Sets | Definition |
|
| L | Set of lines in the urban rail transit network |
| Sl | Set of stations on line l |
| Il | Set of trains scheduled on line l |
| K | Set of OD demand in the urban rail transit network |
| Rk | Set of transfer routes of OD demand k |
| Set of transfer stations in route r |
|
| Indices |
| Index of lines, |
| i | Index of trains, |
| s | Index of stations, |
| k | Index of OD demand, k K |
| r | Index of transfer route of OD demand k, |
|
| Parameters |
| s(l) | Starting station on line l |
| e(l) | Terminal station on line l |
| ok | Origin station of OD demand k |
| dk | Destination station of OD demand k |
| qk | Number of passengers for OD demand k |
| The first transfer station in route r of OD demand k |
| The last transfer station in route r of OD demand k |
| Feeder line at station s in route r |
| Connecting line at station s in route r |
| Earliest departure time of the first train from the starting station online l |
| Latest departure time of the first train from the starting station online l |
| Maximum departure interval of two adjacent trains on line l |
| Minimum departure interval of two adjacent trains on line l |
| Train running time from stations s − 1 to s on line l |
| Train dwell time at station s on line l |
| Transfer time from lines to l at transfer station s |
|
| Variables |
| Arrival time of train i at station s on line l |
| Departure time of train i at station s on line l |
| Connecting train on line l at transfer station s in route r |
| Travel time of route r of OD demand k |
| Minimum travel time of OD demand k |
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