Statistical rigidity of vehicular streams-theory versus reality

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F19%3A00336520" target="_blank" >RIV/68407700:21340/19:00336520 - isvavai.cz</a>

Alternative codes found

RIV/62690094:18470/19:50021386

Result on the web

<a href="https://doi.org/10.1088/2399-6528/ab0d47" target="_blank" >https://doi.org/10.1088/2399-6528/ab0d47</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1088/2399-6528/ab0d47" target="_blank" >10.1088/2399-6528/ab0d47</a>

Result language

angličtina

Original language name

Statistical rigidity of vehicular streams-theory versus reality

Original language description

By means of standardized statistical tests applied to empirical traffic data (recorded at the Expressway R1 in Prague, Czech Republic) we verify a hypothesis that vehicular clearances are distributed via Generalized Inverse Gaussian distribution (GIG) g(x) proportional to e(-betax)e(-lambda x) (x > 0, beta >= 0, lambda > 0). We formalize mathe- matical theory explaining recent results obtained by means of advanced statistical analysis applied to vehicular/pedestrian microstructure. For these purposes we use (and generalize) approaches applied in the theory of counting processes. Quantities standardly analyzed in vehicular headway modeling (headway, multi-headway, interval frequency, and statistical rigidity) are here reformulated into formal mathematical definitions and then analytical predictions for statistical rigidity of particle systems with GIG-distributed headways are compared with empirical behavior. We show that a connection between clearance distribution and rigidity in real-road data is not tight as in theoretical structures. This discrepancy is explained as a consequence of the fact that interaction rules acting in vehicular systems (unlike level processes studied) are not short-ranged, which supports a hypothesis that mutual interactions exist among several succeeding cars (as investigated in Krbalek et al 2018 Physica A 491, 112).

Czech name

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Czech description

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Type

J_ost - Miscellaneous article in a specialist periodical

CEP classification

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OECD FORD branch

10103 - Statistics and probability

Project

<a href="/en/project/GA15-15049S" target="_blank" >GA15-15049S: Detection of stochastic universalities in non-equilibrium states of socio-physical systems by means of Random Matrix Theory</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2019

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Journal of Physics Communications

ISSN

2399-6528

e-ISSN

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Volume of the periodical

3

Issue of the periodical within the volume

3

Country of publishing house

GB - UNITED KINGDOM

Number of pages

14

Pages from-to

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UT code for WoS article

000463117800020

EID of the result in the Scopus database

2-s2.0-85078348750