STRICT DERIVATION OF MEAN FIELD EQUATION FOR ONE-DIMENSIONAL TRAFFIC FLOW MODEL
WANG LEI (王雷)a, WANG BING-HONG (汪秉宏)ab, HUI PAK-MING (许伯铭)c
a Nonlinear Science Center, University of Science and Technology of China, Hefei 230026, China; b Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China; c Department of Physics, The Chinese University of Hong Kong, New Territories, Hong Kong
Abstract A new analysis method is presented for the study of Fukui-Ishibashi deterministic one-dimensional traffic flow cellular automaton model of high speed car on highway. By using this method, the exact mean field equation describing the fundamental diagram curve of average traffic speed versus the car density on highway can be derived strictly.
Received: 17 March 1997
Accepted manuscript online:
Fund: Project supported by the National Basic Research Climbing Programme of China and the National Natural Science Foundation of China.
Cite this article:
WANG LEI (王雷), WANG BING-HONG (汪秉宏), HUI PAK-MING (许伯铭) STRICT DERIVATION OF MEAN FIELD EQUATION FOR ONE-DIMENSIONAL TRAFFIC FLOW MODEL 1997 Acta Physica Sinica (Overseas Edition) 6 829
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