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Sets | Definition |
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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 |
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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, |
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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 |
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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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