Thermalized kinetic and fluid models for reentrant supply chains

Research output: Contribution to journalArticle

27 Citations (Scopus)

Abstract

Standard stochastic models for supply chains predict the throughput time (TPT) of a part from a statistical distribution, which is dependent on the work in progress at the time the part enters the system. So they try to predict a transient response from data which are sampled in a quasi-steady-state situation. For reentrant supply chains this prediction is based on insufficient information, since subsequent arrivals can dramatically change the TPT. This paper extends these standard models by introducing the concept of a stochastic phase velocity which dynamically updates the TPT estimate. This leads to the concepts of temperature and diffusion in the corresponding kinetic and fluid models for supply chains.

Original languageEnglish (US)
Pages (from-to)782-800
Number of pages19
JournalMultiscale Modeling and Simulation
Volume3
Issue number4
DOIs
StatePublished - 2005

Fingerprint

Fluid Model
Kinetic Model
Supply Chain
Supply chains
Throughput
kinetics
Kinetics
Fluids
fluid
fluids
Standard Model
Phase velocity
Stochastic models
Transient analysis
Predict
quasi-steady states
Phase Velocity
statistical distribution
Transient Response
Statistical Distribution

Keywords

  • Boltzmann equation
  • Chapman-Enskog
  • Fluid limits
  • Reentrant supply chains
  • Traffic flow models

ASJC Scopus subject areas

  • Computer Science (miscellaneous)
  • Modeling and Simulation

Cite this

Thermalized kinetic and fluid models for reentrant supply chains. / Armbruster, Hans; Ringhofer, Christian.

In: Multiscale Modeling and Simulation, Vol. 3, No. 4, 2005, p. 782-800.

Research output: Contribution to journalArticle

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