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Original Articles

Cellular automaton model with time gap dependent randomisation under Kerner's three-phase traffic theory

, , , &
Pages 127-140
Received 18 Nov 2008
Accepted 03 Sep 2009
Published online: 23 Oct 2009
 

In this article, a new cellular automaton traffic flow model, in which randomisation effect is enhanced with the decrease of time gap and the long time stopped vehicle has large randomisation probability, is presented. Both periodic and open boundary conditions are considered. Under periodic boundary condition, the fundamental diagram and the properties of synchronised flow are studied in detail. Under open boundary condition, different congested patterns induced by an on-ramp are analysed. The results are consistent with the well-known results of Kerner's three-phase traffic theory published before.

Acknowledgements

We thank the anonymous referees for their helpful suggestions. This work is financially supported by 973 Program (2006CB705500), the National Natural Science Foundation of China (Nos. 70631001, 70501004 and 70701004), Program for New Century Excellent Talents in University (NCET-07-0057) and the Natural Science Foundation of Beijing (9093020).

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