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Notation | Description |
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Indices and Sets |
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| Set of direction, . |
| Set of intersections in the subsystem. |
| Set of tram stations. |
| Intersection immediately downstream of intersection . |
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Parameters |
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| Predetermined vehicle bandwidth in direction in the subsystem. |
| Cycle length of the subsystem. |
| Green time for straight-moving vehicles at intersection in direction . |
| Green time for left-turn vehicles at intersection in direction . |
| Time needed for a tram to pass intersection safely. |
| Vehicle travel time in direction from intersections to . |
| Scale factor for vehicle bandwidth , ranging from 0 to 1. |
| Queue clearance time at intersection in direction . |
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Auxiliary Variables |
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| Green time for trams at intersection in direction . |
| Initialized phase time for trams at intersection in direction . |
| Binary variables indicating whether the tram in direction could pass intersection without activating the green extensions. If so, . Otherwise, . |
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Decision Variables |
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| Vehicle bandwidth in direction in the subsystem. |
| Tram bandwidth in direction in the subsystem. |
| Time from the right side of to the right edge of . |
| Tram travel time from intersections to in direction . |
| Dwell time at a station between intersections and in direction . |
| Integer variables used to represent vehicle band between intersections and in direction . |
| Integer variables used to represent tram band between intersections and in direction . |
| Time from the right side of to the right edge of . |
| Initialized phase time for straight-moving vehicles at intersection in direction . |
, , | Binary variables indicating the phase sequence at intersection . |
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