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Jiménez-Casas, Ángela; Rodríguez-Bernal, Aníbal

Some general models of traffic flow in an isolated network. (English) Zbl 1370.90041

Math. Methods Appl. Sci. 40, No. 11, 3982-4000 (2017).
Summary: Starting form basic principles, we obtain mathematical models that describe the traffic of material objects in a network represented by a graph. We analyze existence, uniqueness, and positivity of solutions for some implicit models. Also, some linear models and their equilibria are analyzed.

Cited in 2 Documents

MSC:

90B10 Deterministic network models in operations research
90B15 Stochastic network models in operations research
90C05 Linear programming

Keywords:

traffic flow; networks; graphs; delay integral systems
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References:

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