COMBINED CELLULAR AUTOMATON MODEL FOR MIXED TRAFFIC FLOW WITH NON-MOTORIZED VEHICLES

Dong-Fan Xie (), Zi-You Gao and Xiao-Mei Zhao
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Dong-Fan Xie: School of Traffic and Transportation, Beijing Jiaotong University, Beijing 100044, P. R. China
Zi-You Gao: School of Traffic and Transportation, Beijing Jiaotong University, Beijing 100044, P. R. China
Xiao-Mei Zhao: School of Traffic and Transportation, Beijing Jiaotong University, Beijing 100044, P. R. China

International Journal of Modern Physics C (IJMPC), 2010, vol. 21, issue 12, 1443-1455

Abstract: To depict the mixed traffic flow consisting of motorized (m-) and non-motorized (nm-) vehicles, a new cellular automaton model is proposed by combining the NaSch model and the BCA model, and some rules are also introduced to depict the interaction between m-vehicles and nm-vehicles. By numerical simulations, the flux-density relations are investigated in detail. It can be found that the flux-density curves of m-vehicle flow can be classified into two types, corresponding to small and large density regions of nm-vehicles, respectively. In small density region of nm-vehicles, the maximum flux as well as the critical density decreases with the increase of nm-vehicle density. Similar characteristics can also be found in large density region of nm-vehicles. However, compared with the former case, the maximum flux is much lower, the phase transition from free flow to congested flow becomes continuous and thus the corresponding critical points are non-existent. The flux-density curves of nm-vehicle flow can also be classified into two types. And interestingly, the maximum flux and the corresponding density decrease first and keep constant later as the density of m-vehicle increases. Finally, the total transport capacity of the system is investigated. The results show that the maximum capacity can be reached at appropriate proportions for m-vehicles and nm-vehicles, which induces a controlling method to promote the capacity of mixed traffic flow.

Keywords: Cellular automaton; mixed traffic flow; fundamental diagram; 89.40.-a; 05.40.-a; 64.60.Cn; 05.70.Fh (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1142/S0129183110015944

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