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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Schrifttum
Alexander v.HUMBOLDT.: Ansichten der Natur, Zweiter Band J.G.Cotta’scher Verlag, Stuttgart 1860, Seite 224, 225.
W.F. DAENZER (Hrsg.): Systems Engineering: Leitfäden zur methodischen Durchführung umfangreicher Planungsvorhaben Peter Hanstein Verlag GmbH., Köln 1977
G. MARCHESINI and S.K. MTTTER (Hrsg.): Mathematical System Theory Lecture Notes in Economics and Mathematical Systems 131, Springer-Verlag, Berlin 1976
G. KLIR: On the Representation of Activity Arrays International Journal of General Systems, Vol.2, No.3, 1975, pp. 149–168
G. KLIR: Identification of Generative Structures in Empirical Data International Journal of General Systems, Vol. 3, No. 2, 1976, pp. 89–104
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
G. KLIR and H. UYTTENHOVE: Computerized Methodology for Structure Modelling Annals of Systems Research, Vol.5, 1976, pp. 29–66
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
G. DANTZIG and P. WOLFE: Decomposition principle for linear programs Operations Research 8, 1960, pp. 101–111
D.M. HIMMELBLAU (ed.): Decomposition of Large-Scale Systems North-Holland/American Elsevier, Amsterdam 1973
W.R. ASHBY: Einführung in die Kybernetik Suhrkamp Taschenbuch, Wissenschaft 34, Frankfurt am Main, 1974
J. HARTMANIS and R.E. STEARNS: Algebraic Structure Theory of Sequential Machine Prentice Hall, Englewcod Cliffs, N.J., 1966
F. PICHLER: Mathematische Systemtheorie: Dynamische Konstruktionen Walter de Gruyter, Berlin 1975
W. OTTENDÖRFER: Zerlegungen und algebraische Eigenschaften endlicher Automaten auf der Basis verbandstheoretischer Konzepte Diplomarbeit aus Technischer Mathematik, Universität Linz, Linz 1978
M. MESAROVIC and Y. TAKAHARA: General Systems Theory: Mathematical Foundations Academic Press, New York 1975
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
G. DITTRICH: Diskrete Dynamische Systeme in der Informatik Habilitationsschrift, Abteilung Informatik, Universität Dortmund, Dortmund 1979
J.A. GOGUEN et al: Parallel Realization of Systems using Factorization and Quotients in Categories IBM Research Report RC 5668, 1975, 30 pages
F. PICHLER and W. OTTENDÖRFER: Decomposition of general dynamical Systems Zur Veröffentlichung angenommen in: Systems Science, Vol.5, Wroclaw/Polen 1979
A. SCHULZ: Methoden des Softwareentwurfes und Strukturierte Programmierung Walter de Gruyter, Berlin 1978
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
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1980 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
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
Download citation
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