Stochastic bilevel programming in structural optimization

@inproceedings{Christiansen1997StochasticBP,
  title={Stochastic bilevel programming in structural optimization},
  author={Snorre H. Christiansen and Michael Patriksson and Laura Wynter},
  year={1997}
}
We consider the mathematical modelling and solution of robust and cost-optimizing structural (topology) design problems. The setting is the optimal design of a linear–elastic structure, for example a truss topology, under unilateral frictionless contact, and under uncertainty in the data describing the load conditions, the material properties, and the rigid foundation. The resulting stochastic bilevel optimization model finds a structural design that responds the best to the given probability… CONTINUE READING
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