Benedetto Piccoli

Conservation laws models for flows on networks

Abstract :

We review some models based on conservation
laws to model flows on networks. In particular
we illustrat LWR model for car traffic, source-destination
models and recent models for data flows on telecommunication
networks. We show how, depending on the algorithm for
traffic distribution at nodes, solutions may depend in a Lipschitz
fashion on initial data. We conclude with brief discussion on
optimizing traffic distribution coefficients.



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