Exact Formula of Time-Headway Distribution for TASEP with Random-Sequential Update

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21240%2F19%3A00334498" target="_blank" >RIV/68407700:21240/19:00334498 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/chapter/10.1007/978-3-030-11440-4_1" target="_blank" >https://link.springer.com/chapter/10.1007/978-3-030-11440-4_1</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-030-11440-4_1" target="_blank" >10.1007/978-3-030-11440-4_1</a>

Result language
angličtina
Original language name
Exact Formula of Time-Headway Distribution for TASEP with Random-Sequential Update
Original language description
The analytical derivation of time-headway distribution for random-sequential totally asymmetric simple exclusion process (TASEP) with periodic boundaries is presented. The finite and periodic nature of the lattice together with the lattice-size-dependent hopping probability related to the random-sequential update does not allow to use common method for the derivation of the time-headway distribution. Another method is presented in this article. The exact derivation of the time-headway distribution leads to several interesting combinatorial tasks. Further, after proper time scaling and using the large L limit we obtain the approximation of the distribution, which can be considered as exact result for TASEP with continuous time.
Czech name
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Czech description
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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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