Thermalized kinetic and fluid models for reentrant supply chains

Hans Armbruster, Christian Ringhofer

Research output: Contribution to journalArticlepeer-review

31 Scopus citations


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
Issue number4
StatePublished - 2005


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

ASJC Scopus subject areas

  • Chemistry(all)
  • Modeling and Simulation
  • Ecological Modeling
  • Physics and Astronomy(all)
  • Computer Science Applications


Dive into the research topics of 'Thermalized kinetic and fluid models for reentrant supply chains'. Together they form a unique fingerprint.

Cite this