Open AccessTHEORETICAL ANALYSIS AND COMPUTER EXPERIMENTS FOR 1D RANDOM TRAFFIC FLOW MODELS
Author(s) -
Lv Xiao-Yang,
Liu Mu-Ren,
Kong Ling-Jing
Publication year - 1998
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.47.1761
Subject(s) - statistical physics , traffic flow (computer networking) , flow (mathematics) , simple (philosophy) , computer science , brake , microscopic traffic flow model , traffic model , physics , simulation , mathematics , mechanics , traffic generation model , statistics , computer network , engineering , automotive engineering , philosophy , epistemology
In this paper we present an entirely random traffic flow model by introducing brake, creation and disappearance probabilities into 1D local interactive cellular automota. By means of epuilibrium spin theory, we find that when Pin=Pout≠0, the final density of the model is ρ0.5 and indepen-dent of initial density distribution. When the conditions Pin+Pb=1 and Pin=Pout are satisfied, we get a simple “linear” traffic flow model that displays long distance correlation under the condition |1-2Pin|=1 and leads to a serious traffic jam. The cemputer simulation results agree with the the-oretical prediction.