Deterministic chaos in the beer production‐distribution model

Deterministic chaos in the beer production‐distribution model Depending upon the assumed ordering policy, the classical Beer Distribution Model shows a great variety of complex dynamic behaviors, including limit cycle oscillations of different periodicities and deterministic chaos. This article presents an overview of these phenomena. The ordering policy is expressed in terms of two parameters that measure the fraction of the supply line and the fraction of the anticipated shipments accounted for in the placement of orders. Our results indicate that, in certain regions of parameter space, any neighborhood to a given solution will contain qualitatively different solutions. The complexity of the system is revealed in two‐ and three‐dimensional reconstructions of chaotic attractors as well as in Poincaré sections obtained from such reconstructions. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png System Dynamics Review Wiley

Deterministic chaos in the beer production‐distribution model

System Dynamics Review, Volume 4 (1‐2) – Jan 1, 1988

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Publisher
Wiley
Copyright
Copyright © 1988 Wiley Subscription Services, Inc., A Wiley Company
ISSN
0883-7066
eISSN
1099-1727
DOI
10.1002/sdr.4260040108
Publisher site
See Article on Publisher Site

Abstract

Depending upon the assumed ordering policy, the classical Beer Distribution Model shows a great variety of complex dynamic behaviors, including limit cycle oscillations of different periodicities and deterministic chaos. This article presents an overview of these phenomena. The ordering policy is expressed in terms of two parameters that measure the fraction of the supply line and the fraction of the anticipated shipments accounted for in the placement of orders. Our results indicate that, in certain regions of parameter space, any neighborhood to a given solution will contain qualitatively different solutions. The complexity of the system is revealed in two‐ and three‐dimensional reconstructions of chaotic attractors as well as in Poincaré sections obtained from such reconstructions.

Journal

System Dynamics ReviewWiley

Published: Jan 1, 1988

References

  • Empirical and Theoretical Evidence of Economic Chaos
    Chen, P.
  • Problems in Industrial Dynamics

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