Stochastic dynamics of long supply chains with random breakdowns

Research output: Contribution to journalArticle

19 Citations (Scopus)

Abstract

We analyze the stochastic large time behavior of long supply chains via a traffic flow random particle model. As items travel on a virtual road from one production stage to the next, random breakdowns of the processors at each stage are modeled via a Markov process. The result is a conservation law for the expectation of the part density which holds on time scales which are large compared to the mean up and down times of the processors.

Original languageEnglish (US)
Pages (from-to)59-79
Number of pages21
JournalSIAM Journal on Applied Mathematics
Volume68
Issue number1
DOIs
StatePublished - 2007

Fingerprint

Stochastic Dynamics
Supply Chain
Markov processes
Supply chains
Breakdown
Conservation
Large Time Behavior
Traffic Flow
Markov Process
Conservation Laws
Time Scales
Model

Keywords

  • Boltzmann equation
  • Fluid limits
  • Mean field theories
  • Supply chains
  • Traffic flow models

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

Stochastic dynamics of long supply chains with random breakdowns. / Degond, P.; Ringhofer, Christian.

In: SIAM Journal on Applied Mathematics, Vol. 68, No. 1, 2007, p. 59-79.

Research output: Contribution to journalArticle

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