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An Exactly Solvable Two-Way Traffic Model With Ordered Sequential Update

1999/12/23 by M. Ebrahim Fouladvand, Fouladvand, M. Ebrahim, H. Woo Lee +1
Business, Management and Accounting · Computer Science · Physics and Astronomy · Social Sciences · #Advanced Queuing Theory Analysis #Cloud Computing and Resource Management #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech) #Transportation Planning and Optimization #cond-mat.stat-mech

paper · pdf · doi:10.48550/arxiv.cond-mat/9912425

6 pages, 4 ps figures, to apear in the proceeding of " Traffic and Granular Flow 99 ", Springer. Eds, M.Schreckenberg, D.E.Wolf and D.Helbing

arxiv created 1999/12/23 · openalex publication_date 1999/12/23 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Within the formalism of martix product ansatz, we study a two-species asymmetric exclusion process with backward and forward site-ordered sequential update. This model describes a two-way traffic flow with a dynamical impurity and shows a phase transition between the free flow and the traffic jam. We investigate characteristics of this jamming and examine similarities and differences between our results and those with random sequential update.

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