Flow Characteristics of Traffic Flow at Signalized Intersections and Performance Comparison using Queueing Theory

Queueing theory deals with creating mathematical models for waiting and queueing events. These determine the performance values of waiting lines, such as queue length, occupancy rate, waiting time, arrival, and service rates. Estimation or detection of these issues provide benefits for problems, such as, the design of road structures, length of turn lanes, number of lanes at intersections, number of box offices and traffic signal timing. Queueing models are created with some determinations or assumptions, such as arrival patterns, departure characteristics and service discipline of the vehicles coming to the system. In this study, firstly a queuing model was created with some assumptions, then the arrival and departure distributions of the data were examined, and a new queue model was determined based on the results. According to the distribution of the data collected from signalized intersection, the model was renewed, and the performance of the queuing was obtained. The results according to M/M/1, M/G/1 and G/G/1 models are compared.