8 citations · 9 across the 8 of their papers we have counts for
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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…
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…
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…
On modeling and global solutions for d.c. optimization problems by canonical duality theory
Zhong Jin, David Y Gao
This paper presents a canonical d.c. (difference of canonical and convex functions) programming problem, which can be used to model general global optimization problems in complex…
On Unified Modeling, Canonical Duality-Triality Theory, Challenges and Breakthrough in Optimization
David Yang Gao
A unified model is addressed for general optimization problems in multi-scale complex systems. Based on necessary conditions and basic principles in physics, the canonical duality-…
Complete solutions to nonconvex fractional programming problems
David Yang Gao, Ning Ruan
This paper presents a canonical dual approach to the problem of minimizing the sum of a quadratic function and the ratio of nonconvex function and quadratic functions, which is a t…