Journal
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
Volume 14, Issue 4, Pages 579-601Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218202504003362
Keywords
traffic flow; macroscopic equations; optimization
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Simplified dynamic models for traffic How on networks are derived from network models based on partial differential equations. We obtain simplified models of different complexity like models based on ordinary differential equations or algebraic models. Optimization problems for all models are investigated. Analytical and numerical properties are studied and comparisons are given for simple traffic situations. Finally, the simplified models are used to optimize large scale networks.
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