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

A fluid dynamic model for supply chains

Ciro D'Apice 1, and  Rosanna Manzo 2,

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

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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