Article ID: | iaor1997926 |
Country: | United States |
Volume: | 30 |
Issue: | 1 |
Start Page Number: | 14 |
End Page Number: | 31 |
Publication Date: | Feb 1996 |
Journal: | Transportation Science |
Authors: | Friesz Terry L., Bernstein David, Stough Roger |
Keywords: | control, economics |
In this paper, the authors set forth certain axioms for a positive theory of dynamic urban network flows. They then show that mathematical models which fulfill these axioms may be created by adapting and extending certain fundamental notions from microeconomics and nonlinear systems theory. The authors further show that models created in this fashion, using concepts of fast and slow dynamic processes, may be manipulated into a variety of mathematical forms, thereby providing a synthesis of dynamic systems, variational inequality and control theoretic perspectives for predicting dynamic urban network flows. They close with a discussion of the implications of this synthesis for route guidance and intelligent vehicle infrastructure. Throughout, the authors presentation is at a conceptual level; the mathematical arguments are purposely not rigorous to embrance the widest possible readership.