Introduction to Projected Dynamical Systems for Traffic Network Equilibrium Problems

Anna Nagurney and Ding Zhang
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Anna Nagurney: University of Massachusetts
Ding Zhang: State University of New York at Oswego

Chapter 8 in Network Infrastructure and the Urban Environment, 1998, pp 125-156 from Springer

Abstract: Abstract It is now well-known that a plethora of equilibrium problems, notably, network equilibrium problems, can be uniformly formulated and studied as finite-dimensional variational inequality problems. Indeed, it was precisely the traffic network equilibrium problem, as stated by Smith (1979), and identified by Dafermos (1980) to be a variational inequality problem, that gave birth to the ensuing research activity in variational inequality theory and applications in transportation science, regional science, operations research, and, more recently, in economics.

Keywords: Variational Inequality; Traffic Network; Variational Inequality Problem; Route Choice; Travel Demand (search for similar items in EconPapers)
Date: 1998
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DOI: 10.1007/978-3-642-72242-4_8

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