Anti-optimization technique – a generalization of interval analysis for nonprobabilistic treatment of uncertainty

By Zhiping P. Qiu, Isaac E. Elishakoff. 2001

50 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Control and Systems Engineering, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/6c6e9d2386d14a7cc5189ef73faae152efb989de

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Zhan Kang
2. Yangjun Luo
3. Zhen Luo
4. Alex Li
5. Chao Jiang
6. Yiqiang Wang
7. Bingjie Ni
8. Nong Zhang

In Control and Systems Engineering

1. Yangjun Luo
2. Zhen Luo
3. Alex Li
4. Zhan Kang

In Statistics and Probability

1. Zhen Luo
2. Zhan Kang
3. Yangjun Luo
4. Chao Jiang
5. Alex Li
6. Bingjie Ni
7. Jinglai Wu
8. Nong Zhang

Citations in the corpus

• Continuum topology optimization with non-probabilistic reliability constraints based on multi-ellipsoid convex model (2009, methodology): “Combined with the perturbation technique, interval mathematics was used by Qiu and Elishakoff (1998, 2001) , Elishakoff et al. (1994) to treat uncertain-butbounded parameters in the sizing optimization of truss structures.”
• Non-probabilistic reliability-based topology optimization of geometrically nonlinear structures using convex models (2009, unknown): “Since then, research works on the non-probabilistic structural optimization based on the convex model have been carried out by using the worst-case-scenario (or anti-optimization technique) [40–42], the interval analysis method [43,44], the convex model superposition method [45], and the similar.”