## A probabilistic cooperative-competitive hierarchical model for global optimization

- Kwong-Sak Leung, Irwin King, Y. B. Wong
- Applied Mathematics and Computation
- 2006

@article{Albrecht1997OptimalPO, title={Optimal Placements of Flexible Objects: Part I: Analytical Results for the Unbounded Case}, author={Andreas Alexander Albrecht and S. K. Cheung and K. C. Hui and Kwong-Sak Leung and Chak-Kuen Wong}, journal={IEEE Trans. Computers}, year={1997}, volume={46}, pages={890-904} }

- Published 1997 in IEEE Trans. Computers
DOI:10.1109/12.609278

We consider optimal placements of two-dimensional flexible (elastic, deformable) objects. The objects are discs of equal size placed within a rigid boundary. The paper is divided into two parts. In the first part, analytical results for three types of regular, periodic arrangements—the hexagonal, square, and triangular placements—are presented. The regular arrangements are analyzed for rectangular boundaries and radii of discs that are small compared to the area of the placement region, because… CONTINUE READING