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

In: Traffic and Granular Flow '17

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  • Pavel Hrabák

    (Czech Technical University in Prague, Faculty of Information Technology)

Abstract

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.

Suggested Citation

  • Pavel Hrabák, 2019. "Exact Formula of Time-Headway Distribution for TASEP with Random-Sequential Update," Springer Books, in: Samer H. Hamdar (ed.), Traffic and Granular Flow '17, pages 3-10, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-11440-4_1
    DOI: 10.1007/978-3-030-11440-4_1
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