Weighted Center of Mass based Optimal Control Scheme for Pre-timed Signalized Junctions

Abstract

Pre-timed signalized junctions are prevalent in real world as they are inexpensive and easy to implement. However, traffic flow in these junctions exhibit large variations even for the same time intervals in each day. Hence, robust signal timings are desired to address this uncertainty in traffic flow. The existing robust signal control models for pre-timed signalized junctions with uncertain traffic use min-max approach. The limitations of these models are: (i) the optimality of the solution is not guaranteed, and (ii) inability to scale for larger ranges of traffic flow due to long computational times. In this work, we propose a weighted center of mass based optimization approach which overcomes these limitations. It finds the robust signal timings for uncertain traffic demands that minimizes the average delay per vehicle. Simulation results show that our approach performs better than the existing models for both under-saturated and over-saturated traffic flows. Also, the computational time taken by our approach is significantly less