Simple and exactly solvable model for queue dynamics
- 1 June 1997
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 55 (6) , 7749-7752
- https://doi.org/10.1103/physreve.55.7749
Abstract
We present a model for queue dynamics that is very simple but provides the essential property for such dynamics. The model has the traveling cluster solution, which is derived analytically, as well as the homogeneous flow solution. The cluster solution is a simple example of a pattern formation in diffusion system, which is seen in the phenomena of traffic jams and the slugging of granular flow.Keywords
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