A new modeling approach for queueing vehicles in front of emergency vehicle at a traffic intersection

One of the traffic problems in the transportation system is the emergency vehicles management. It is necessary to know the characteristics of the traffic flow on an intersection when an emergency vehicle is passing through on the road. This research is aimed to determine an appropriate model of the G/G/l Model to represent the physical phenomena of the normal vehicle traffic on a single lane intersection in the presence of an emergency vehicle. The approach is performed by modeling the travel speed of the queue tail with the G/G/l approximation. There are two scenarios when pre-emption signal is detected by the control system. The first scenario is during red signal and the second scenario is during green signal. The paper evaluates the G/G/l Model developed by using Kraemer-Lagenbach-Belz, Kingman and Whitt approximation. A criterion of the G/G/l Model approximations is to achieve the smallest Theil coefficient value of the queue tail travel speed. Theil coefficient indicates how close the speed of the model to the real speed. If the travel speed of the model approaches the real speed then Theil coefficient value is low or towards 0. Based on queuing theory, it can be constructed the traffic flow model at a traffic intersection in which the emergency vehicle is present. The experiment shows the appropriate G/G/l Queueing Model for traffic signal intersection scenario is the Kingman approximation.