Journal
TRANSPORTATION RESEARCH PART A-POLICY AND PRACTICE
Volume 45, Issue 6, Pages 554-566Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.tra.2011.03.010
Keywords
Logistic speed-density model; Generalized logistic curve; Fundamental diagram
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The fundamental diagram, as the graphical representation of the relationships among traffic flow, speed, and density, has been the foundation of traffic flow theory and transportation engineering. Seventy-five years after the seminal Greenshields model, a variety of models have been proposed to mathematically represent the speed-density relationship which underlies the fundamental diagram. Observed in these models was a clear path toward two competing goals: mathematical elegance and empirical accuracy. As the latest development of such a pursuit, this paper presents a family of speed-density models with varying numbers of parameters. All of these models perform satisfactorily and have physically meaningful parameters. In addition, speed variation with traffic density is accounted for; this enables statistical approaches to traffic flow analysis. The results of this paper not only improve our understanding of traffic flow but also provide a sound basis for transportation engineering studies. (C) 2011 Elsevier Ltd. All rights reserved.
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