Distance- and Time-headway Distribution for Totally Asymmetric Simple Exclusion Process

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F11%3A00186356" target="_blank" >RIV/68407700:21340/11:00186356 - isvavai.cz</a>

Výsledek na webu

<a href="http://www.sciencedirect.com/science/article/pii/S1877042811014273" target="_blank" >http://www.sciencedirect.com/science/article/pii/S1877042811014273</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.sbspro.2011.08.047" target="_blank" >10.1016/j.sbspro.2011.08.047</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Distance- and Time-headway Distribution for Totally Asymmetric Simple Exclusion Process

Popis výsledku v původním jazyce

We consider the one-dimensional totally asymmetric simple exclusion process on a lattice of N sites. Our goal is to investigate the headway distribution for this model in order to compare the microscopic structure of the model with the real highway traffic. In recent articles, the distance-headway distribution for this model has been presented. Using this result, the time-headway distribution is derived, which represents the probability density for the time interval of the length t between the jumps oftwo successive particles from the observed site. We find out that for all variants of the considered model, the space discrete structure is reflected in the distance-headway distribution. The time-headway distribution reflects (contrary to the real traffic behavior) the "particle-hole symmetry" of the model.

Název v anglickém jazyce

Distance- and Time-headway Distribution for Totally Asymmetric Simple Exclusion Process

Popis výsledku anglicky

We consider the one-dimensional totally asymmetric simple exclusion process on a lattice of N sites. Our goal is to investigate the headway distribution for this model in order to compare the microscopic structure of the model with the real highway traffic. In recent articles, the distance-headway distribution for this model has been presented. Using this result, the time-headway distribution is derived, which represents the probability density for the time interval of the length t between the jumps oftwo successive particles from the observed site. We find out that for all variants of the considered model, the space discrete structure is reflected in the distance-headway distribution. The time-headway distribution reflects (contrary to the real traffic behavior) the "particle-hole symmetry" of the model.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2011

Kód důvěrnosti údajů

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

Název periodika

Procedia - Social and Behavioral Sciences

ISSN

1877-0428

e-ISSN

—

Svazek periodika

2011

Číslo periodika v rámci svazku

20

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

11

Strana od-do

406-416

Kód UT WoS článku

000299524200046

EID výsledku v databázi Scopus

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