On the Braess Paradox with Nonlinear Dynamics and Control Theory

Rinaldo M. Colombo () and Helge Holden ()
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Rinaldo M. Colombo: University of Brescia
Helge Holden: Norwegian University of Science and Technology

Journal of Optimization Theory and Applications, 2016, vol. 168, issue 1, No 11, 216-230

Abstract: Abstract We show the existence of the Braess paradox for a traffic network with nonlinear dynamics described by the Lighthill–Whitham–Richards model for traffic flow. Furthermore, we show how one can employ control theory to avoid the paradox. The paper offers a general framework applicable to time-independent, uncongested flow on networks. These ideas are illustrated through examples.

Keywords: Braess paradox; Traffic dynamics; Hyperbolic conservation laws; Nash optimum; Control theory; 35L65; 90B20 (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10957-015-0729-5

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