Optimal pre-signal control for buses and cars at isolated signalized intersections

Delay imposed on buses is witnessed at isolated signalized intersections. The major source of delay is created due to bus and car interactions. Towards reducing person delay pre-signal lights are installed at the upstream of the intersection. Pre-signal is a control tool that can manage the interaction and space conflict between cars and buses at the mixed lanes, located after the pre-signals, approaching the intersection. This paper presents an optimal pre-signal control system that optimizes signal settings based on minimization of person delay. The optimal solutions are derived analytically via Pontryagin Maximum Principle.