Abstract
Traffic congestion continues to hinder economic and social development and also has a negative impact on the environment. A simple mathematical model is used to analyze the different types of road intersections in terms of their Performance in relation to managing traffic congestion and to establish the condition for stability of the road intersections after sufficiently longer periods of time (steady-state). In the analysis, single and double lane un-signalized, signalized and roundabout intersections are evaluated on the basis of their performance (expected number of vehicles and waiting time). Experimental scenarios are carefully designed to analyze the performance of the different types of intersections. It is noted that under light traffic, roundabout intersections perform better than un-signalized and signalized in terms of easing congestion. However under heavy traffic, signalized intersection perform better in terms of easing traffic congestion compared to un-signalized and roundabout intersections. It is further noted that for stability of a road intersection, the proportion of the time a road link stopping at an intersection is delayed should not exceed the utilization factor (the ratio of the arrival rate of vehicles to the product of number of service channels and service rate).
Highlights
Traffic congestion causes considerable costs due to unproductive time losses, accidents and has a negative impact on the environment such as air pollution and fuel; and on the quality of life; noise and stress
THE MODEL We construct a mathematical model to study the impact of varying the parameters of the model on both the expected number and waiting time of vehicles at road intersections
In order to ease congestion at road intersections, the proportion of the time a road link is delayed should be less than the utilization factor ρ given by ρ
Summary
Traffic congestion causes considerable costs due to unproductive time losses, accidents and has a negative impact on the environment such as air pollution and fuel; and on the quality of life; noise and stress. THE MODEL We construct a mathematical model to study the impact of varying the parameters of the model on both the expected number and waiting time of vehicles at road intersections. Qualitative analysis of an M/M/s queue interrupted by delays: During a delay all service channels of a road link stopping at an intersection are closed to traffic.
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