Approximate Approach to Compute Characteristics of Inhomogeneous TASEP with Open Boundaries

Marina V. Yashina; Alexander G. Tatashev

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arXiv · 2511.00128

Approximate Approach to Compute Characteristics of Inhomogeneous TASEP with Open Boundaries

Marina V. Yashina·Alexander G. Tatashev

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Abstract

A discrete-time totally asymmetric simple exclusion process on a lattice with open boundaries is considered. There are particles of different types. The type of a particle is characterized by the probability that a particle moves to a vacant site and the probability that a particle occupying the rightmost site departs the system. An approximate approach to compute the particle flow rate and density in sites is proposed. A version of the approach is proposed for an analogous continuous-time process. The accuracy of the approximation is estimated. The approach can be used in traffic models and models of statistical physics.

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BibTeX RIS

Marina V. Yashina, Alexander G. Tatashev. 2025-10-31. Approximate Approach to Compute Characteristics of Inhomogeneous TASEP with Open Boundaries. https://arxiv.org/abs/2511.00128

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