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Optimal sizing of large engineering systems by separable duals

  • A. B. Templeman
Chapter
Part of the Mathematical Programming Studies book series (MATHPROGRAMM, volume 11)

Abstract

In the preliminary optimal sizing of large engineering systems very simplified system models are often used. The paper deals with one class of problems which is composed of separable functions. It examines the type of system which results in sizing problems of this form and demonstrates that a particular form of the problem appears to have a general applicability. The engineering literature contains no mention of the dual form of this problem which is derived here and which has attractive properties from the point of view of developing rapid solution algorithms for practical design purposes.

Key words

Optimal Sizing Large Engineering Systems Simplified Models Separable Functions Duality Lagrangian Functions Saddle Points Problem Dimensionality 

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References

  1. [1]
    L. Berke and N.S. Khot, “Use of optimality criteria methods for large scale systems”, AGARD-LS-70, Structural Optimization, NATO Advisory Group for Aerospace Research and Development (1974).Google Scholar
  2. [2]
    L.S. Lasdon, Optimization theory for large systems (Macmillan, New York, 1970).MATHGoogle Scholar
  3. [3]
    A.B. Templeman, “A dual approach to optimum truss design”, Journal of Structural Mechanics 4 (3) (1976) 235–255.Google Scholar
  4. [4]
    A.B. Templeman, “Optimality criteria and dual methods in truss design”, Preliminary Report, IABSE 10th Congress, International Association of Bridge and Structural Engineers (Zurich, 1976). 115–122.Google Scholar

Copyright information

© The mathematical programming society 1979

Authors and Affiliations

  • A. B. Templeman
    • 1
  1. 1.University of LiverpoolLiverpoolEngland

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