Space–time modeling of traffic flow (original) (raw)

The role of the road traffic depending on the time

2011

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Traffic flow modelling on the road network in the cities

Tehnicki vjesnik - Technical Gazette, 2015

Original scientific paper Planning of road transport infrastructure is a complex process. One of the major issues is determining the design elements of road infrastructure (road type and number of traffic lanes, cross-sectional profile, etc.). When designing roads, parameters from the international literature are used, containing values derived empirically from local data on traffic flow (mostly from northern American cities). The goal of this paper was to explore traffic flows for the purpose of developing a model that will enable scientifically exact description of traffic flows in urban areas of Central Europe. Study of basic parameters of traffic flow included the selection of road location, survey time, traffic survey, analysis of video recordings, as well as statistical analysis and calculation of basic parameters of traffic flow. Added value of this research is demonstrated through the method of collecting and analysing the data for each lane (or roadway) separately in order to detect the difference in the values of the basic parameters of traffic flows. The research was conducted on various urban roads and in various traffic conditions and in this way the basic parameters of traffic flow were obtained. These parameters were used to develop diagrams of relations between speed, traffic density and volume, resulting in cumulative functions of traffic flow parameters for the entire urban traffic network. This made it possible to develop new equations enabling theoretical determination of flow volume, speed and density for a given road. Methods established in this work and the results of the research present a useful and applicable tool for benchmarking road capacity and finding relevant coefficients significant for dimensioning the road cross-sections in urban areas, but also on all other categories of roads.

A review of the mathematical models for traffic flow

International Journal of Advances in Engineering Sciences and Applied Mathematics, 2009

In this paper, we critically review mathematical models for the flow of traffic that treat traffic as a continuum and provide a discussion of their shortcomings. We also review a spatially discrete traffic flow model that does not suffer from such shortcomings and provide recently collected, corroborating data for a trip-time estimation scheme based on the spatially discrete model. Keywords Traffic models • Spatially discrete traffic model • Large-scale systems • String stability • Limit of dynamical systems.

Genealogy of traffic flow models

EURO Journal on Transportation and Logistics, 2014

An historical overview of the development of traffic flow models is proposed in the form of a model tree. The model tree shows the genealogy of four families: the fundamental relation, microscopic, mesoscopic and macroscopic models. We discuss the families, branches and models. By describing the historical developments of traffic flow modeling, we take one step further back than conventional literature reviews that focus on the current state-of-the-art. This allows us to identify the main trends in traffic flow modeling: (1) convergence of many branches to generalized models, (2) adaptations and extensions of the LWR model to deal with real phenomena, (3) multi-class versions of many models and, (4) the development of hybrid models combining the advantages of different types of models.