Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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



Solution of structural optimization problems by piecewise linearization

Author: R. Lorentzen
Journal: Quart. Appl. Math. 40 (1982), 353-355
MSC: Primary 73K40
DOI: https://doi.org/10.1090/qam/678207
MathSciNet review: 678207
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Abstract: Structural optimization problems tend to be nonlinear and often also non-convex. In this paper it is proposed to reduce a general class of such problems to linear programming problems through piecewise linearization. They can then be solved by the highly effective linear programming computer codes currently available.

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

  • [1] A. J. Morris, Generalization of dual structural optimization problems in terms of fractional programming, Quart. Appl. Math. 36, 115-119 (1978) MR 0496698
  • [2] H. M. Salkin, Integer programming, Addison-Wesley, 1975, pp. 5-6
  • [3] R. J. Duffin and E. L. Peterson Geometric programming with signomials, J. Optimization Theor. Appl. 11, 3-35 (1973) MR 0327309

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DOI: https://doi.org/10.1090/qam/678207
Article copyright: © Copyright 1982 American Mathematical Society

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