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Dekompositionsprinzipien Fuer Systeme

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Zusammenfassung

Apropriate decomposition methods are vital for dealing with systems considered “large“ on account of their number of variables and the complexity of relationship between these. Generally speaking, decomposition methods are tools for representing a given complex model in a structural form that lends itself more readily to the analysis or synthesis required.

In line with the type of model in question, different decomposition principles emerge and it is possible to relate these principles to a general framework of a “representation system“ and a “representation machine“.

Initially, this paper consider the general aspects of decomposition and presents schemes how these may be systematized. The second part discusses various methods for systems on different levels of abstraction and provides references to current literature.

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Schrifttum

  1. Alexander v.HUMBOLDT.: Ansichten der Natur, Zweiter Band J.G.Cotta’scher Verlag, Stuttgart 1860, Seite 224, 225.

    Google Scholar 

  2. W.F. DAENZER (Hrsg.): Systems Engineering: Leitfäden zur methodischen Durchführung umfangreicher Planungsvorhaben Peter Hanstein Verlag GmbH., Köln 1977

    Google Scholar 

  3. G. MARCHESINI and S.K. MTTTER (Hrsg.): Mathematical System Theory Lecture Notes in Economics and Mathematical Systems 131, Springer-Verlag, Berlin 1976

    Google Scholar 

  4. G. KLIR: On the Representation of Activity Arrays International Journal of General Systems, Vol.2, No.3, 1975, pp. 149–168

    Article  Google Scholar 

  5. G. KLIR: Identification of Generative Structures in Empirical Data International Journal of General Systems, Vol. 3, No. 2, 1976, pp. 89–104

    Article  Google Scholar 

  6. G. KLIR: Pattern Descovery in Activity Arrays in: W.E. HARTNETT (ed.): Systems, Approaches, Theories, Applications D.Reidel Publishing Company, Dordrecht/Holland, 1977, pp. 121–158

    Chapter  Google Scholar 

  7. G. KLIR and H. UYTTENHOVE: Computerized Methodology for Structure Modelling Annals of Systems Research, Vol.5, 1976, pp. 29–66

    Article  Google Scholar 

  8. R. CAVALLO and G. KLIR: The structure of reconstructable relations: A comprehensive study Proceedings of Emcsr 78, Progress in Cybernetics and Systems Research (ed. PICHLER-TRAPPL), Vol.VI, Hemisphere Publ. Corp. Washington D.C., in print

    Google Scholar 

  9. G. DANTZIG and P. WOLFE: Decomposition principle for linear programs Operations Research 8, 1960, pp. 101–111

    Article  Google Scholar 

  10. D.M. HIMMELBLAU (ed.): Decomposition of Large-Scale Systems North-Holland/American Elsevier, Amsterdam 1973

    Google Scholar 

  11. W.R. ASHBY: Einführung in die Kybernetik Suhrkamp Taschenbuch, Wissenschaft 34, Frankfurt am Main, 1974

    Google Scholar 

  12. J. HARTMANIS and R.E. STEARNS: Algebraic Structure Theory of Sequential Machine Prentice Hall, Englewcod Cliffs, N.J., 1966

    Google Scholar 

  13. F. PICHLER: Mathematische Systemtheorie: Dynamische Konstruktionen Walter de Gruyter, Berlin 1975

    Google Scholar 

  14. W. OTTENDÖRFER: Zerlegungen und algebraische Eigenschaften endlicher Automaten auf der Basis verbandstheoretischer Konzepte Diplomarbeit aus Technischer Mathematik, Universität Linz, Linz 1978

    Google Scholar 

  15. M. MESAROVIC and Y. TAKAHARA: General Systems Theory: Mathematical Foundations Academic Press, New York 1975

    Google Scholar 

  16. M.A. ARBIB and E.G. MANES: A categoric-theoretic approach to systems in a fuzzy-world in: W.E. HARTNETT (ed.): Systems: Approaches, Theories, Applications D.Reidel Publishing Company, Dordrecht/Holland 1977, pp. 1–26

    Chapter  Google Scholar 

  17. G. DITTRICH: Diskrete Dynamische Systeme in der Informatik Habilitationsschrift, Abteilung Informatik, Universität Dortmund, Dortmund 1979

    Google Scholar 

  18. J.A. GOGUEN et al: Parallel Realization of Systems using Factorization and Quotients in Categories IBM Research Report RC 5668, 1975, 30 pages

    Google Scholar 

  19. F. PICHLER and W. OTTENDÖRFER: Decomposition of general dynamical Systems Zur Veröffentlichung angenommen in: Systems Science, Vol.5, Wroclaw/Polen 1979

    Google Scholar 

  20. A. SCHULZ: Methoden des Softwareentwurfes und Strukturierte Programmierung Walter de Gruyter, Berlin 1978

    Google Scholar 

  21. R. CAVALLO and F. PICHLER: General Systems Methodology: Designs for Intuition — Amplification Proceedings Silver Anniversary International Meeting, August 20–24, 1979 Society for General Systems Research, London 1979

    Google Scholar 

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© 1980 Springer-Verlag Berlin Heidelberg

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Pichler, F. (1980). Dekompositionsprinzipien Fuer Systeme. In: Henn, R., Schips, B., Stähly, P. (eds) Quantitative Wirtschafts- und Unternehmensforschung. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-67616-1_32

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  • DOI: https://doi.org/10.1007/978-3-642-67616-1_32

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10034-8

  • Online ISBN: 978-3-642-67616-1

  • eBook Packages: Springer Book Archive

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