Modelling and Analysis of Heterarchical Manufacturing Systems Using Discontinuous Differential Equations

Vittaldas V. Prabhu, Neil A. Duffie

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

Heterarchical manufacturing systems with distributed arrival time control provide robustness by adapting to disturbances in real time without explicit notification and compensation. Part processing discontinuously couples entities in these systems and makes their behavior highly nonlinear. Discontinuous differential equations that model the dynamics of a multitude of highly distributed part arrival time controllers can be solved using a method due to Filippov, resulting in closed-form equations that characterize system dynamics and convergence. The global performance of the distributed arrival time control is found to compare favorably with dispatching rules currently used in industry.

Original languageEnglish (US)
Pages (from-to)445-448
Number of pages4
JournalCIRP Annals - Manufacturing Technology
Volume45
Issue number1
DOIs
StatePublished - Jan 1 1996

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Differential equations
Dynamical systems
Controllers
Processing
Industry
Compensation and Redress

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering
  • Industrial and Manufacturing Engineering

Cite this

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Modelling and Analysis of Heterarchical Manufacturing Systems Using Discontinuous Differential Equations. / Prabhu, Vittaldas V.; Duffie, Neil A.

In: CIRP Annals - Manufacturing Technology, Vol. 45, No. 1, 01.01.1996, p. 445-448.

Research output: Contribution to journalArticle

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