A model of traffic flow in a network

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Abstract

We obtain a mathematical model which governs the traffic flow of material objects in a net to generalize several previous models like air traffic (Sridhar, Menon (2005) Comparison of linear dynamic models for air traffic flow management. IFAC, Prague; Sun, Strub, Bayen (2007) Netw Heterog Media 2(4):569-594). We analyze the existence and uniqueness of solutions for some particular case.

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Jiménez-Casas, Á., & Rodríguez-Bernal, A. (2014). A model of traffic flow in a network. SEMA SIMAI Springer Series, 4, 193–201. https://doi.org/10.1007/978-3-319-06953-1_19

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