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Traffic Dynamics on a Rotary

In: Traffic and Granular Flow ’07

Author

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  • Ding-wei Huang

    (Chung Yuan Christian University, Department of Physics)

Abstract

Summary We present a simple cellular automaton model to study the traffic dynamics on a 4-ramp rotary. Vehicles can move in and out of the rotary through on-ramp and off-ramp, respectively. On the rotary, vehicles move deterministically; while the ramps operate stochastically. We show that, both numerically and analytically, the traffic states on the rotary are completely determined by the ramps. The ramps provide a means to stabilize the density difference on the rotary and to support the maximum flow as a distinct phase. We are able to obtain exact solutions in the full parameter space. The complete phase diagram can be derived. We compare the results between a closed system and an open system. We show that the bulk density is not a good parameter. The traffic states are better characterized by the stochastic rates in the boundaries.

Suggested Citation

  • Ding-wei Huang, 2009. "Traffic Dynamics on a Rotary," Springer Books, in: Cécile Appert-Rolland & François Chevoir & Philippe Gondret & Sylvain Lassarre & Jean-Patrick Lebacq (ed.), Traffic and Granular Flow ’07, pages 93-103, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-77074-9_8
    DOI: 10.1007/978-3-540-77074-9_8
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