A progression index for signalized intersections to represent real progression with considering queue clearance time

This paper aims to develop a performance index to represent real progression. We define real progression as unnecessary waiting time at the signalized intersection. In order to be able to go through the traffic light without unnecessary traffic delays, we mainly optimize the signal variable with a progression model as like PASSER or PROS of Transyt-7F. These models use a distance between intersections and vehicle speed to get signal control variables. It is difficult to apply the influence of traffic flow as like residual queues and various traffic demands. We design a performance index to be able to reflect the effect of traffic conditions and to estimate the quality of real progression. We form a progression index with shock wave theory in order to observe the variation by various traffic demands and to consider residual queue time. We obtain each cell density on cell transmission model and calculate travel time by assuming vehicle trajectory. We can estimate delay time and the quality of real progression when simulate by changing offset. We compare a progression index to signal optimization model.