80 citations · 273 across the 41 of their papers we have counts for
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math.OC2018★ 8 cited
Canonical Duality Theory and Algorithm for Solving Bilevel Knapsack Problems with Applications
David Yang Gao
A novel canonical duality theory (CDT) is presented for solving general bilevel mixed integer nonlinear optimization governed by linear and quadratic knapsack problems. It shows th…
math.OC2018
A Novel Canonical Duality Theory for Solving 3-D Topology Optimization Problems
David Yang Gao, Elaf Jaafar Ali
This paper demonstrates a mathematically correct and computationally powerful method for solving 3D topology optimization problems. This method is based on canonical duality theory…
math.OC2018★ 1 cited
On Modelling and Complete Solutions to General Fixpoint Problems in Multi-Scale Systems with Applications
Ning Ruan, David Yang Gao
This paper revisits the well-studied fixed point problem from a unified viewpoint of mathematical modeling and canonical duality theory, i.e. the original problem is first reformul…