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Variable | Unit | Description |
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Amil/Dmil | — | Arrival/departure time of train m at station i of line l |
Bmlij | pass | Number of passengers who board train m from station i to station j of line l |
Cl | pass | Capacity per train of line l |
cls | pass | Number of seats per train of line l |
d, i, j | — | Indices of stations |
, h, k | — | Number of trains skipped by passengers |
Ki/Ks | — | Weighted average number of skipped trains at station i/s |
Ldl | km | The length of the link connecting stations d and d + 1 of line L |
l, l′, l″ | — | Indices of lines |
m, m′, m″ | — | Indices of trains |
ni// | — | Maximum number of trains skipped by passengers at station i/i′/s |
Pmlij | — | Probability of boarding train m of line l from station i to station j |
p | — | Index of itineraries |
Qmdl | pass | Number of passengers in train m on link d of line l |
rll′s | sec | Weighted average transfer wait time from line l to line l′ at station s |
rpll′s | sec | Wait time at station s for transfer passengers from line l to line l′ using itinerary p |
s | — | Indices of transfer stations |
tai | sec | Access time from the entrance to the platform at station i |
tej | sec | Egress time from the platform at station j to the exit |
ti/tj | — | Times when passengers swipe the card at entrance/exit |
| sec | In-vehicle time from station i to station j |
| sec | Weighted average wait time at station i |
| sec | Wait time at station i skipped for k trains |
| pass | Number of passengers who skipped k train at station i |
| sec | Transfer walking time from line l to line l′ at station s |
αik | — | Probability of the k trains skipped by passengers at station i |
| — | Weight of skipping k trains at station i for boarding train m + k on itinerary p |
αpik/αp,s1,h | — | Probability of itinerary p for passengers who skipped k/ trains at station i/s1 |
βp/γp | — | Probability of itinerary p for transfer passengers with one transfer/two transfers |
ψml | m2 | Floor area for standees of train m on line l |
φmdl | m2/p | Average space per standee in train m on link d of line l |
δmdl | — | Load factor of train m on link d of line l |
δml | — | Average load factor of train m on line l |
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