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| General notations |
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| | Index of nodes, including stations and intersections |
| | Index of intersections |
| | Index of stations |
| | Index of trams |
| | Index of TSP actions, where green extension, phase insertion and early green are denoted as , , respectively |
| | Index of approach lane direction, where through, left-turning and right-turning are denoted as z, l,r, respectively. |
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| Tram parameters |
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| | Arrival time of tram m at node e based on the minimal travel time schedule |
| | Departure time of tram m from node e based on the minimal travel time schedule |
| | Minimum running time for each tram from node e to node e+1 |
| | Maximum running time for each tram from node e to node e+1 |
| | Minimum dwell time for each tram at station s |
| | Maximum dwell time for each tram at station s |
| | Minimum headway between two consecutive trams arrivals at the same station |
| | Minimum headway between two consecutive trams departures at the same station |
| | Minimum headway between a tram departure and another tram arrival at the same station |
| | Load factor of tram m between two consecutive stations |
| | Average load factor of tram m along the tramline |
| | Fixed passenger occupancy of tram m |
| | Weight factor determining tradeoff of person delay between tram and auto vehicles |
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| Signal parameters |
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| | Index of signal cycle at intersection i |
| | Index of phase in cycle k for intersection i |
| | The phase serving tram, which is also called critical phase |
| | 1, if phase n is the critical phase N; 0, otherwise |
| | 1, if phase n is the previous phase before critical phase N; 0, otherwise |
| | The unadjusted cycle length in cycle k at intersection i |
| | The unadjusted green duration of lane group j during phase n in cycle k at intersection i |
| | Green ratio of lane group j during phase n in cycle k at intersection i |
| | Minimum green duration for TSP actions |
| | Maximum green duration for TSP actions |
| | Minimum red time between two green phases in a signal cycle |
| | 1, if a TSP action is taken in cycle k at intersection i; 0, otherwise |
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| Traffic parameters |
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| | Average vehicle delay of lane group j during phase n in cycle k at intersection i |
| | Average vehicle delay in cycle k at intersection i |
| | Original traffic volume of lane group j during phase n in cycle k at intersection i |
| | Variation of traffic volume caused by applying TSP strategy |
| | Saturation of lane group j during phase n in cycle k at intersection i |
| | Saturation volume of lane group j during phase n in cycle k at intersection i |
| | Capacity of lane group j during phase n in cycle k at intersection i |
| | 1, if tram m arrives at intersection i during phase n in cycle k; 0, otherwise |
| | Auto traffic volume of intersection i in cycle k |
| | Passenger occupancy of an auto vehicle |
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