1996/06/07 by Y. Sugiyama, Yu-barki Sugiyama, H. Yamada +3
Business, Management and Accounting · Decision Sciences · Engineering · Physics and Astronomy · #Advanced Queuing Theory Analysis #FOS: Physical sciences #Pattern Formation and Solitons (nlin.PS) #Simulation Techniques and Applications #Traffic control and management #nlin.PS #patt-sol
paper · pdf · doi:10.48550/arxiv.patt-sol/9606001
10 pages (LaTeX), 5 figures (eps-files)
arxiv created 1996/06/07 · openalex publication_date 1996/06/07 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present an exactly solvable model for queue dynamics. Our model is very simple but provides the essential property for such dynamics. As an example, the model has the traveling cluster solution as well as the homogeneous flow solution. The model is the limiting case of Optimal Velocity (OV) model, which is proposed for the car following model to induce traffic jam spontaneously.