Stochastic bilevel programming in structural optimization
By Snorre H. Christiansen, Michael Patriksson, Laura Wynter. 2001
89 citations recorded by the source corpus.
Subfields: Civil and Structural Engineering, Computational Theory and Mathematics
View Paper: https://www.semanticscholar.org/paper/b7124cc04a868428875780b8efed575752f7552b
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Civil and Structural Engineering
- H. A. Kim
- Kalyanmoy Deb
- Peter D. Dunning
- Sanghoon Lee
- Huifu Xu
- Shikui Chen
- Alexander Shapiro
- Mattias Schevenels
In Computational Theory and Mathematics
- Kalyanmoy Deb
- Pekka Malo
- Ankur Sinha
- Huifu Xu
- Shikui Chen
- Patrice Marcotte
- Gilles Savard
- Peter D. Dunning
Citations in the corpus
- A Review on Bilevel Optimization: From Classical to Evolutionary Approaches and Applications (2017, background): “For optimal design applications, the readers may refer to [22], [46], [83], [93], and [94].”
- Robust Topology Optimization: Minimization of Expected and Variance of Compliance (2013, background): “The objective function is typically the expected compliance for a set of conditions in which the probability of each condition is treated as a weighting factor [21,22].”
- Stochastic mathematical programs with equilibrium constraints, modelling and sample average approximation (2008, methodology): “3 considered an SMPEC model for a class of stochastic bilevel programming problems in structural optimization, Xu 30 modelled a stochastic Stackelberg–Nash–Cournot equilibrium problem as a specific SMPEC.”
- Level set based robust shape and topology optimization under random field uncertainties (2010, background): “Due to its simplicity, frame structures were first studied for robust and reliability-based topology optimization under uncertainty, respectively [10-12].”
- Manufacturing tolerant topology optimization (2009, unknown): “[19–27]).”
- Two-stage stochastic bilevel programming over a transportation network (2013, background): “…programming, whose underlying principles have been laid out by Patriksson and Wynter (1999), has been proposed by Patriksson and Wynter (1997) for addressing a structural optimization problem, and by Christiansen et al. (2001) to formulate a topology optimization model in structural mechanics.”