2009
DOI: 10.3846/1648-4142.2009.24.333-338
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Mathematical Modelling of Network Traffic Flow

Abstract: Abstract. Th e article describes mathematical models of traffi c fl ows to initiate diff erent traffi c fl ow processes. Separate elements of traffi c fl ow models are made in a way to be connected together to get a single complex model. A model of straight road with diff erent boundary conditions is presented as a separate part of the network traffi c fl ow model. First testing is conducted in case the fi nal point of the whole modelled traffi c line is closed and no output from that point is possible. Th e s… Show more

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Cited by 38 publications
(18 citation statements)
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“…Equations describing traffic flows and the explanation of equation members are presented in the paper of Junevičius, Bogdevičius (2009). Hereinafter mathematical expressions are presented.…”
Section: Mathematical Model Of Traffic Flowsmentioning
confidence: 99%
“…Equations describing traffic flows and the explanation of equation members are presented in the paper of Junevičius, Bogdevičius (2009). Hereinafter mathematical expressions are presented.…”
Section: Mathematical Model Of Traffic Flowsmentioning
confidence: 99%
“…By analyzing the dynamics of traffic flows before traffic lights controlled road points, a discrete model of traffic flows was used. This model consists of a system of equations, which is described in more detail in scientific articles [6,7]. Using the discrete transport flow model, a system of equations for each road point, along with the description of adjacent points, is entered (Eq.…”
Section: Methodsmentioning
confidence: 99%
“…In a few typical sectors, for example in insurance, health care, transportation (Junevičius, et al, 2009) and sport, some of the characteristic features of socially aware processes, such as the common financing of common goals are traditionally present. It is easy to see that in any insurance activity, the insured individuals, organizations or groups form a surety community, with the basic interest of minimizing risk factors (Sipos, 2014).…”
Section: Introductionmentioning
confidence: 99%