Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Generalization of dual structural optimization problems in terms of fractional programming

Author: A. J. Morris
Journal: Quart. Appl. Math. 36 (1978), 115-119
MSC: Primary 90C30
DOI: https://doi.org/10.1090/qam/496698
MathSciNet review: 496698
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Abstract: Duality now plays an important role in the theory of optimum structures but has not been given adequate detailed consideration within this context. The paper makes a limited attempt to satisfy this requirement through a generalization of the associated duality theory by formulating the structural optimization as a fractional program. This provides some new forms for the dual objective function and crystalizes some of the intrinsic problems associated with dual structural programs.

References [Enhancements On Off] (What's this?)

  • [1] W. S. Hemp, Optimum structures, Oxford, 1973
  • [2] P. Bartholomew and A. J. Morris, A unified approach to fully-stressed design, Eng. Optimisation 2, 3-15 (1976)
  • [3] A. B. Templeman, A dual approach to optimum stress design, J. Struct. Mech. 4, 235-257 (1976)
  • [4] P. Bartholomew, A dual bound used for monitoring structural optimisation programs, Eng. Optimization, to appear
  • [5] Olvi Mangasarian, Non-linear programming, McGraw-Hill, 1969
  • [6] R. Jagannathan, Duality in non-linear fractional programming, Z. Operations Research 17, 1-3 (1973)
  • [7] C. R. Bector, Duality in non-linear programming, Z. Operations Research 17, 183-193 (1973)
  • [8] S. Schaible, Parameter-free convex equivalent and dual programs of fractional programming problems, Z. Operations Research 18, 187-196 (1974) MR 0351464
  • [9] D. G. Mahajan and M. N. Vartak, Generalisation of some duality theorems in non-linear programming, Mathematical Programming 12, 293-317 (1977) MR 0459636

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DOI: https://doi.org/10.1090/qam/496698
Article copyright: © Copyright 1978 American Mathematical Society

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