{"ID":2847549,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2511.00128","arxiv_id":"2511.00128","title":"Approximate Approach to Compute Characteristics of Inhomogeneous TASEP with Open Boundaries","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.","short_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...","url_abs":"https://arxiv.org/abs/2511.00128","url_pdf":"https://arxiv.org/pdf/2511.00128v1","authors":"[\"Marina V. Yashina\",\"Alexander G. Tatashev\"]","published":"2025-10-31T10:18:58Z","proceeding":"cond-mat.stat-mech","tasks":"[\"cond-mat.stat-mech\",\"math.OC\"]","methods":"[]","has_code":false}