Kinetic and fluid model hierarchies for supply chains

Hans Armbruster; D. Marthaler; Christian Ringhofer

doi:10.1137/S1540345902419616

Kinetic and fluid model hierarchies for supply chains

Hans Armbruster, D. Marthaler, Christian Ringhofer

Mathematical and Statistical Sciences, School of (SoMSS)

Research output: Contribution to journal › Article › peer-review

84 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	43-61
Number of pages	19
Journal	Multiscale Modeling and Simulation
Volume	2
Issue number	1
DOIs	https://doi.org/10.1137/S1540345902419616
State	Published - 2004

Keywords

Gas dynamics
Kinetic equations
Supply chains

ASJC Scopus subject areas

General Chemistry
Modeling and Simulation
Ecological Modeling
General Physics and Astronomy
Computer Science Applications

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10.1137/S1540345902419616

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abstract = "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.",

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Kinetic and fluid model hierarchies for supply chains

Abstract

Keywords

ASJC Scopus subject areas

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