A fluid dynamic model for supply chains

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September 2006, 1(3): 379-398. doi: 10.3934/nhm.2006.1.379

A fluid dynamic model for supply chains

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

Received November 2005 Revised March 2006 Published July 2006

Abstract
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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.

Keywords: supply chains., Conservation laws.

Mathematics Subject Classification: Primary: 35L65, 90B30; Secondary: 34B4.

Citation: Ciro D'Apice, Rosanna Manzo. A fluid dynamic model for supply chains. Networks & Heterogeneous Media, 2006, 1 (3) : 379-398. doi: 10.3934/nhm.2006.1.379

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