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

Result code in 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>
Result on the web
<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>

Result language
angličtina
Original language name
Distance- and Time-headway Distribution for Totally Asymmetric Simple Exclusion Process
Original language description
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.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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