Determination of Optimal Traffic Light Period Using a Discrete Traffic Flow Model

Algimantas Danilevičius,Gediminas Vaičiūnas,Robertas Pečeliūnas,Modesta Gusarovienė,Marijonas Bogdevičius,Irena Danilevičienė

doi:10.5755/j01.mech.24.6.22477

Algimantas Danilevičius, Gediminas Vaičiūnas + Show 4 more

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https://doi.org/10.5755/j01.mech.24.6.22477

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Abstract

The traffic flow problem is spread analyzed by many authors like Liu et al., Nagatani and Kaur et al. This paper investigates the traffic flow problem that occurs due to the incorrect traffic lights control. Traffic lights should be match with the traffic flow and must to optimize it. The rational traffic lights period is set by the analysis of the situation on city’s street. A discrete model of traffic flow is used to obtain the results of traffic flow simulation. The results of modelling allow to analyze the dynamics of transport flows in the context of analyzed road and due to the studied boundary conditions. In this article the discrete model of traffic flow is complemented by new parameters (coefficients), which allows to fit the modelling results with real conditions of traffic flows. Authors argued that the last point of all traffic flows is the main aspect of the investigation of the effect of the changed concentration on the modelling street. Also an amplitude spectrum of traffic flow parameters has been created. This amplitude spectrum helps to determine the frequencies of the road network. DOI: http://dx.doi.org/10.5755/j01.mech.24.6.22477

Highlights

During the last decades a growing number of car transport rate increasing challenge of traffic flow management
In order to determine the accuracy of theoretical studies corresponding to the real traffic flow, an experimental study was conducted during which the results of traffic flow velocity variation were obtained at the intersection with high traffic flow density and behind it (Fig. 11) in the green traffic light period
The modelling results allow us to analyze the dynamics of transport flows in the modeled road, depending on the studied boundary conditions, which are defined at the last point of the simulated road with traffic flow density kout= (0.05; 0.1; 0.15) veh./m and traffic light periods from T=98 s to T=148 s at regulated intersections

Summary

Introduction

During the last decades a growing number of car transport rate increasing challenge of traffic flow management. Liu et al [1] analyze the variation of the density of cars in a single lane using a jam control scheme based on a lattice hydrodynamic model In this case, an additional controlled traffic flow is introduced into the traffic flow and obtained results show the changes of situation. In [14] article hydrodynamic traffic flow model is extended with equations for optimal assessment driving uphill or downhill It results that with the same coefficient of response to the concentration difference, but at a different angle of uphill or downhill has a very significant effect on determining the stability of the density on the road. In this article, using a modified discrete traffic flow model, it is aimed to determine the optimal period of traffic lights to obtain the maximum average vehicle velocity. To set the output boundary conditions effect for traffic flows

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Research results and presentation of methods

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