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An Outer Approximations Approach to Reliability-Based Optimal Design of Structures

Author

Listed:
  • C. Kirjner-Neto

    (University of California)

  • E. Polak

    (University of California)

  • A. Der Kiureghian

    (University of California)

Abstract

We present a new formulation of the problem of minimizing the initial cost of a structure subject to a minimum reliability requirement, expressed in terms of the so-called design points of the first-order reliability theory, i.e., points on limit-state surfaces that are nearest to the origin in a transformed standard normal space, as well as other deterministic constraints. Our formulation makes it possible to use outer approximations algorithms for the solution of such optimal design problems, eliminating some of the major objections associated with treating them as bilevel optimization problems. A numerical example is presented that illustrates the reliability and efficiency of the algorithm.

Suggested Citation

  • C. Kirjner-Neto & E. Polak & A. Der Kiureghian, 1998. "An Outer Approximations Approach to Reliability-Based Optimal Design of Structures," Journal of Optimization Theory and Applications, Springer, vol. 98(1), pages 1-16, July.
    • Handle: RePEc:spr:joptap:v:98:y:1998:i:1:d:10.1023_a:1022647728419
    DOI: 10.1023/A:1022647728419
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    Cited by:

    1. Rihab Said & Maha Elarbi & Slim Bechikh & Lamjed Ben Said, 2022. "Solving combinatorial bi-level optimization problems using multiple populations and migration schemes," Operational Research, Springer, vol. 22(3), pages 1697-1735, July.
    2. ToÄŸan, Vedat & Karadeniz, Halil & DaloÄŸlu, AyÅŸe T., 2010. "An integrated framework including distinct algorithms for optimization of offshore towers under uncertainties," Reliability Engineering and System Safety, Elsevier, vol. 95(8), pages 847-858.
    3. Sinha, Ankur & Malo, Pekka & Deb, Kalyanmoy, 2017. "Evolutionary algorithm for bilevel optimization using approximations of the lower level optimal solution mapping," European Journal of Operational Research, Elsevier, vol. 257(2), pages 395-411.

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