A fluid dynamic model for supply chains

2006, Volume 1, Issue 3: 379-398. doi: 10.3934/nhm.2006.1.379

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1.
Department of Information Engineering and Applied Mathematics, University of Salerno, via Ponte Don Melillo, 84084 Fisciano (SA)
2.
Dipartimento di Ingegneria dell'Informazione e Matematica Applicata, University of Salerno, Via Ponte Don Melillo, 84084 - Fiscano (SA)

The paper deals with a fluid dynamic model for supply chains. A mixed continuum-discrete model is proposed and possible choices of solutions at nodes guaranteeing the conservation of fluxes are discussed. Fixing a rule a Riemann solver is defined and existence of solutions to Cauchy problems is proved.
- Conservation laws,
- supply chains
Citation: Ciro D'Apice, Rosanna Manzo. A fluid dynamic model for supply chains[J]. Networks and Heterogeneous Media, 2006, 1(3): 379-398. doi: 10.3934/nhm.2006.1.379

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Abstract

The paper deals with a fluid dynamic model for supply chains. A mixed continuum-discrete model is proposed and possible choices of solutions at nodes guaranteeing the conservation of fluxes are discussed. Fixing a rule a Riemann solver is defined and existence of solutions to Cauchy problems is proved.
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© 2006 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)