Statistical rigidity of vehicular streams-theory versus reality

Kód výsledku v 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>

Nalezeny alternativní kódy

RIV/62690094:18470/19:50021386

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Statistical rigidity of vehicular streams-theory versus reality

Popis výsledku v původním jazyce

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).

Název v anglickém jazyce

Statistical rigidity of vehicular streams-theory versus reality

Popis výsledku anglicky

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).

Druh

J_ost - Ostatní články v recenzovaných periodicích

CEP obor

—

OECD FORD obor

10103 - Statistics and probability

Projekt

<a href="/cs/project/GA15-15049S" target="_blank" >GA15-15049S: Detekce stochastických univerzalit v nerovnovážných stavech sociofyzikálních systémů metodami teorie náhodných matic</a><br>

Návaznosti

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

Rok uplatnění

2019

Kód důvěrnosti údajů

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

Název periodika

Journal of Physics Communications

ISSN

2399-6528

e-ISSN

—

Svazek periodika

3

Číslo periodika v rámci svazku

3

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

14

Strana od-do

—

Kód UT WoS článku

000463117800020

EID výsledku v databázi Scopus

2-s2.0-85078348750