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Network models for supply chains
A mathematical model describing supply chains on a network is introduced. In particular, conditions on each vertex of the network are specified. Finally, this leads to a system of nonlinearExpand
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Coupling Conditions for a Class of Second-Order Models for Traffic Flow
TLDR
We construct a solution of the Riemann problem at an arbitrary junction of a road network based on the Aw–Rascle model. Expand
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Gas flow in pipeline networks
TLDR
We introduce a model for gas flow in pipeline networks based on the Euler equations and present numerical results for sample networks. Expand
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Coupling conditions for gas networks governed by the isothermal Euler equations
TLDR
We investigate coupling conditions for gas transport in networks where the governing equations are the isothermal Euler equations. Expand
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Optimal Control for Traffic Flow Networks
We consider traffic flow models for road networks where the flow is controlled at the nodes of the network. For the analytical and numerical optimization of the control, the knowledge of the gradientExpand
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A new model for gas flow in pipe networks
We introduce a new model for gas dynamics in pipe networks by asymptotic analysis. The model is derived from the isothermal Euler equations. We present the derivation of the model as well asExpand
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Control of the Continuity Equation with a Non Local Flow
This paper focuses on the analytical properties of the solutions to the continuity equation with non local flow. Our driving examples are a supply chain model and an equation for the description ofExpand
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Modeling, Simulation, and Optimization of Traffic Flow Networks
  • M. Herty, A. Klar
  • Mathematics, Computer Science
  • SIAM J. Sci. Comput.
  • 1 March 2003
TLDR
A new model for highway traffic networks based on a detailed description of the junctions is presented. Expand
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A Scalar Conservation Law with Discontinuous Flux for Supply Chains with Finite Buffers
TLDR
An aggregate continuum model for production flows and supply chains with fi- nite buffers is proposed and analyzed. Expand
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Flows on networks: recent results and perspectives
The broad research thematic of flows on networks was addressed in recent years by many researchers, in the area of applied mathematics, with new models based on partial differential equations. TheExpand
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