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Notations | Description |
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| Set of trains |
, | Set of outbound trains and inbound trains respectively |
c | Index of trains |
| Set of arrival-departure lines |
s | Index of arrival-departure lines |
, | Set of routes at left bottleneck and right bottleneck respectively |
l, r | Index of routes at left bottleneck and right bottleneck respectively |
| Set of trains’ routes |
D,A | Set of nodes and arcs of railway network respectively |
, | Set of left and right bottleneck routes connected to the arrival-departure line s respectively |
| Weight of the heterogeneous trains |
| Weight of different objective functions |
, | Length of routes in the left and the right bottleneck respectively |
| Length of the arrival-departure lines |
| Length of trains |
| Length of the track segment between and |
| Planned starting time of train c to pull into the station |
| Actual departure time of train c from the station |
| Speed of train c |
| Setup time of train c |
| Occupation end time at the left bottleneck of outbound trains |
| Occupation end time at the right bottleneck of inbound trains |
| Occupation end time at the arrival-departure lines |
| Travel time at the arrival-departure line s of train c |
| Dwell time at the arrival-departure line s of train c |
, | Additional times corresponding to acceleration and deceleration of trains, respectively |
, | Travel time at left bottleneck to arrive and at right bottleneck to depart of outbound train c |
, | Travel time at right bottleneck to arrive and at left bottleneck to depart of inbound train c |
| Time interval between trains and entering the conflict track segments |
| Binary parameters, if train c would stop at arrival-departure line s, , else, |
| Binary parameters, if potential conflicts exist, , else, |
| Binary parameters, if there are conflicts between routes and , , else, |
| Binary parameters, if arrival-departure lines and are close to the same platform, , else, |
| Binary parameters, if there is transfer relationship between trains and , , else, |
| Headway time of trains which occupy the same arrival-departure lines |
| Minimum time interval of two trains at the potential conflict area |
| Minimum transfer time of passengers on the platform |
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