Formulation, Stability, and Computation of Traffic Network Equilibria as Projected Dynamical Systems

D. Zhang and A. Nagurney
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D. Zhang: University of Massachusetts
A. Nagurney: University of Massachusetts

Journal of Optimization Theory and Applications, 1997, vol. 93, issue 2, No 9, 417-444

Abstract: Abstract In this paper, we present a unified treatment and analysis of a dynamic traffic network model with elastic demands formulated and studied as a projected dynamical system. We propose a travel route choice adjustment process that satisfies the projected dynamical system. Under certain conditions, stability and asymptotical stability of the equilibrium patterns are then derived. Finally, two discrete-time algorithms, the Euler method and the Heun method, are proposed for the computation of the solutions, and convergence results established. The convergence results depend crucially on stability analysis. The performance of the algorithms is then illustrated on several transportation networks.

Keywords: Dynamic traffic problems; projected dynamical systems; variational inequalities; network equilibrium problems (search for similar items in EconPapers)
Date: 1997
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Citations: View citations in EconPapers (73)

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DOI: 10.1023/A:1022610325133

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