Modeling and Optimization of Scalar Flows on Networks View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

2013

AUTHORS

Luigi Ambrosio , Alberto Bressan , Dirk Helbing , Axel Klar , Enrique Zuazua , Simone Göttlich

ABSTRACT

Detailed models based on partial differential equations characterizing the dynamics on single arcs of a network (roads, production lines, etc.) are considered. These models are able to describe the dynamical behavior in a network accurately. On the other hand, for large scale networks often strongly simplified dynamics or even static descriptions of the flow have been widely used for traffic flow or supply chain management due to computational reasons. In this paper, a unified presentation highlighting connections between the above approaches are given and furthermore, a hierarchy of dynamical models is developed including models based on partial differential equations and nonlinear algebraic equations or even combinatorial models based on linear equations. Special focus is on optimal control problems and optimization techniques where combinatorial and continuous optimization approaches are discussed and compared. More... »

PAGES

395-461

References to SciGraph publications

Book

TITLE

Modelling and Optimisation of Flows on Networks

ISBN

978-3-642-32159-7
978-3-642-32160-3

Author Affiliations

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-3-642-32160-3_8

DOI

http://dx.doi.org/10.1007/978-3-642-32160-3_8

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1000762882


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