Zur Anwendung linearer Dekomposition

  • G. Schiefer
Conference paper
Part of the Proceedings in Operations Research book series (ORP, volume 1973)

Abstract

The Decomposition Principle of DANTZIG/WOLFE has been used to solve a linear optimization system with about 900 rows. (A spatial equilibrium model for production planning in German agriculture).

Some experiences in using different starting solutions and matrix divisions are discussed.

Literatur

  1. (1).
    DANTZIG, G.B. und WOLFE, P.: Decomposition Principle of Linear Programs; Operations Research 8 (1960), S. 101 - 111CrossRefGoogle Scholar
  2. (2).
    KORNAI, J. und LIPTAK, T.: Two-Level-Planning; Econometrica 33 (1965), Seite 141 - 169CrossRefGoogle Scholar
  3. (3).
    OHSE, D.: Ein dualer Dekompositionsalgorithmus zur Lösung blockangu-larer Probleme der linearen Planungsrechnung; Diss. Darmstadt, 1971.Google Scholar
  4. (4).
    ROSEN, J. B.: Frimai Partition Programming for Block Diagonal Matrices; Numerische Mathematik 6 (1964), S. 250 - 260.CrossRefGoogle Scholar
  5. (5).
    SCHIEFER, G.: Zur Theorie und Praxis der iterativen Optimierung großer linearer Systeme; 1974 zur Veröffentlichung vorgesehenes Manuskript, Stgt.-Hohenheim.Google Scholar

Copyright information

© Physica-Verlag, Rudolf Liebing KG, Würzburg 1974

Authors and Affiliations

  • G. Schiefer
    • 1
  1. 1.StuttgartDeutschland

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