Global solutions to a class of CEC benchmark constrained optimization problems

TL;DR

This paper introduces a novel approach using canonical duality theory to efficiently find global solutions to a class of constrained optimization problems from the CEC benchmark, enhancing solution accuracy and computational efficiency.

Contribution

It develops a new method combining canonical duality theory with KKT conditions for solving constrained optimization problems, providing a theoretical foundation for global optimality.

Findings

Derivation of a global optimality condition based on canonical duality theory.

Effective integration of dual solutions with KKT conditions for solution approximation.

Potential for improved solution accuracy and efficiency in constrained optimization.

Abstract

This paper aims to solve a class of CEC benchmark constrained optimization problems that have been widely studied by nature-inspired optimization algorithms. Global optimality condition based on canonical duality theory is derived. Integrating the dual solutions with the KKT conditions, we are able to obtain the approximate solutions or global solutions easily.