A continuum-discrete model for supply chains dynamics

Gabriella Bretti; Ciro D’Apice; Rosanna Manzo; Benedetto Piccoli; Gabriella Bretti; Ciro D’Apice; Rosanna Manzo; Benedetto Piccoli

doi:10.3934/nhm.2007.2.661

Networks and Heterogeneous Media

2007, Volume 2, Issue 4: 661-694. doi: 10.3934/nhm.2007.2.661

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A continuum-discrete model for supply chains dynamics

1.
Istituto per le Applicazioni del Calcolo "M. Picone", IAC-CNR Viale del Policlinico, 137, 00161, Rome
2.
Dipartimento di Ingegneria dell’Informazione e Matematica Applicata, Università degli Studi di Salerno, Via Ponte don Melillo, 1, Fisciano (SA) 84084
3.
Dipartimento di Ingegneria dell'Informazione e Matematica Applicata, University of Salerno, Via Ponte Don Melillo, 84084 - Fiscano (SA)
4.
Istituto per le Applicazioni del Calcolo "M. Picone", IAC-CNR, Viale del Policlinico 137, 00161 Roma

Received: 01 April 2007 Revised: 01 August 2007
90B10, 65M06, 65N05.

This paper is focused on continuum-discrete models for supply chains. In particular, we consider the model introduced in [10], where a system of conservation laws describe the evolution of the supply chain status on sub-chains, while at some nodes solutions are determined by Riemann solvers. Fixing the rule of flux maximization, two new Riemann Solvers are defined. We study the equilibria of the resulting dynamics, moreover some numerical experiments on sample supply chains are reported. We provide also a comparison, both of equilibria and experiments, with the model of [15].
- Supply chains,
- conservation laws,
- networks,
- fluid-dynamic models,
- finite difference schemes
Citation: Gabriella Bretti, Ciro D’Apice, Rosanna Manzo, Benedetto Piccoli. A continuum-discrete model for supply chains dynamics[J]. Networks and Heterogeneous Media, 2007, 2(4): 661-694. doi: 10.3934/nhm.2007.2.661

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Abstract

This paper is focused on continuum-discrete models for supply chains. In particular, we consider the model introduced in [10], where a system of conservation laws describe the evolution of the supply chain status on sub-chains, while at some nodes solutions are determined by Riemann solvers. Fixing the rule of flux maximization, two new Riemann Solvers are defined. We study the equilibria of the resulting dynamics, moreover some numerical experiments on sample supply chains are reported. We provide also a comparison, both of equilibria and experiments, with the model of [15].
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