Chaos in discrete production systems?

J.P.M. Schmitz, D.A. Beek, van, J.E. Rooda

    Research output: Contribution to journalArticleAcademicpeer-review

    24 Citations (Scopus)

    Abstract

    In literature, several cases are reported of models of discrete non-stochastic production systems that show irregular, apparently chaotic behavior. In this paper a number of these cases are analyzed, and the irregular behavior is attributed to (1) chaotic behavior in hybrid models, (2) chaotic behavior in discrete-event models that use a chaotic map, or (3)periodic behavior with a period longer than the observation window. The irregular behavior of a discrete-event model of a two-machine productionsystem is analyzed by means of nonlinear time series analysis and sensitivity analysis. This case reveals the possibilities and limitations of the application of chaos theory to discrete-event models of productionsystems. Also, a new method for determining the sensitivity of discrete-event models to truly small changes is introduced. Realistic, non-artificial discrete-event models of discrete production systems that show chaotic behavior were not found in this study.
    Original languageEnglish
    Pages (from-to)236-246
    JournalJournal of Manufacturing Systems
    Volume21
    Issue number3
    DOIs
    Publication statusPublished - 2002

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