Kinetic and Fluid Model Hierarchies for Supply Chains

Kinetic and Fluid Model Hierarchies for Supply Chains

We present a model hierarchy for queuing networks and supply chains, analogous to the hierarchy leading from the many body problem to the equations of gas dynamics. Various possible mean field models for the interaction of individual parts in the chain are presented. For the case of linearly ordered...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Multiscale modeling & simulation 2003-01, Vol.2 (1), p.43-61
Hauptverfasser: Armbruster, D., Marthaler, D., Ringhofer, C.
Format: Artikel
Sprache:eng
Schlagworte:
Applied mathematics
Approximation
Conservation laws
Linear programming
Suppliers
Supply chains
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We present a model hierarchy for queuing networks and supply chains, analogous to the hierarchy leading from the many body problem to the equations of gas dynamics. Various possible mean field models for the interaction of individual parts in the chain are presented. For the case of linearly ordered queues the mean field models and fluid approximations are verified numerically.
ISSN:1540-3459
1540-3467
DOI:10.1137/S1540345902419616