Stability Analysis of Transportation Networks with Multiscale Driver Decisions

DOI10.1137/110820804zbMath1262.93002arXiv1101.2220OpenAlexW1986874565MaRDI QIDQ4920258

Giacomo Como, Ketan Savla, Emilio Frazzoli, Daron Acemoglu, Munther A. Dahleh

Publication date: 16 May 2013

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.2220

zbMATH Keywords

stability analysisevolutionary game dynamicstransportation networkstraffic flowstraffic congestionsingular perturbation theoryWardrop equilibriumcooperative dynamical systemsspatial scalesaggregate path preferencecurrent network congestion levelsdynamical transportation networksmultiscale decisionsnon-atomic indistinguishable driversroute choice behavior

Mathematics Subject Classification ID

Deterministic network models in operations research (90B10) Time-scale analysis and singular perturbations in control/observation systems (93C70) Traffic problems in operations research (90B20) Control/observation systems governed by ordinary differential equations (93C15) Large-scale systems (93A15) Evolutionary games (91A22) Monotone flows as dynamical systems (37C65)

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