Theoretical predictions for vehicular headways and their clusters

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F13%3A00209887" target="_blank" >RIV/68407700:21340/13:00209887 - isvavai.cz</a>
Result on the web
<a href="http://www.krbalek.cz/Science/Multiclearances_Final.pdf" target="_blank" >http://www.krbalek.cz/Science/Multiclearances_Final.pdf</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/1751-8113/46/44/445101" target="_blank" >10.1088/1751-8113/46/44/445101</a>

Result language
angličtina
Original language name
Theoretical predictions for vehicular headways and their clusters
Original language description
This article presents a derivation of analytical predictions for steady-state distributions of netto time gaps among clusters of vehicles moving inside a traffic stream. Using the thermodynamic socio-physical traffic model with short-ranged repulsion between particles (originally introduced in [Physica A textbf{333} (2004) 370]) we firstly derive the time-clearance distribution in the model and confront it about theoretical criteria for acceptability of analytical clearance-distributions. Consecutively,the approximating statistical distributions for the so-called time multi-clearances are calculated by means of theory of functional convolutions. Moreover, all the theoretical surmises used during the above-mentioned calculations are evaluated by the statistical analysis of traffic data. The mathematical predictions acquired in this paper are thoroughly compared with relevant empirical quantities and discussed in the context of traffic theory.
Czech name
—
Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BB - Applied statistics, operational research
OECD FORD branch
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Project
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Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)<br>S - Specificky vyzkum na vysokych skolach

Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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