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| Symbol | Definition |
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| Input parameters |
| Set of bus movements |
| Index of bus movements, for westbound left-turn, for westbound through, for eastbound left-turn, for eastbound through |
| Set of private vehicle movements |
| Index of private vehicle movements, for movement 1, for movement 2, …, for movement 8, see Figure 10(b) |
| Arrival rate for vehicular movement j (veh/s) |
| Saturation flow for movement j (veh/s) |
| Cycle length (s) |
| Length of green time for movement j (s) |
| Average passenger occupancy of private vehicles (per/veh) |
| Passenger occupancy of buses (per/veh) |
| Space headway for queuing vehicles (m) |
| Queue length limitation for movement j (m) |
| Minimum green time for pedestrian crossing the street (s) |
| v | The speed of bus (m/s) |
| L | The distance from detection point to intersection stop line (m) |
| The relative time in the signal cycle when the bus arrives at the detection point A (s) |
,
| The relative time in the signal cycle when phase 1, phase 2, phase 3, phase 4 end (s) |
|
| Intermediate variables |
| Set of vehicular operating phases |
| Index of vehicular operating phases at the main intersection, for phase 1, for phase 2,..., for phase 4, see Figure 3 |
| Set of bus signal priority categories |
| Index of bus signal priority categories, for no bus signal priority, for early green, for green extension |
| Length of bus priority time (s) |
| Largest queue length of movement j under the priority categories r (m) |
| Cumulative number of vehicles of movement j at points A, B, C, D, E and F under the priority categories r |
| Time of queue dissipation of movement j under the priority categories r (s) |
| Increased delay of movement j under the priority categories r (s) |
| t | The length of time required for a bus from the detection point to the stop line (s) |
| Relative time in the signal cycle when the bus arrives at the intersection (s) |
|
| Decision variables |
| Passenger delay increment of private vehicles at the intersection (s) |
| Passenger delay increment of buses at the intersection (s) |
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