Constrained global optimization: algorithms and applications
Constrained global optimization: algorithms and applications
Global optimization
A filled function method for finding a global minimizer of a function of several variables
Mathematical Programming: Series A and B
Diffusion equation method of global minimization performance for standard test functions
Journal of Optimization Theory and Applications
Terminal Repeller Unconstrained Subenergy Tunneling (TRUST) for fast global optimization
Journal of Optimization Theory and Applications
Recent developments and trends in global optimization
Journal of Computational and Applied Mathematics - Special issue on numerical analysis 2000 Vol. IV: optimization and nonlinear equations
Test Examples for Nonlinear Programming Codes
Test Examples for Nonlinear Programming Codes
ICTAI '99 Proceedings of the 11th IEEE International Conference on Tools with Artificial Intelligence
Derivative-Free Filter Simulated Annealing Method for Constrained Continuous Global Optimization
Journal of Global Optimization
Introduction to Global Optimization (Nonconvex Optimization and Its Applications)
Introduction to Global Optimization (Nonconvex Optimization and Its Applications)
A filled function method for constrained global optimization
Journal of Global Optimization
Evolutionary algorithms, homomorphous mappings, and constrained parameter optimization
Evolutionary Computation
Evolutionary algorithms for constrained parameter optimization problems
Evolutionary Computation
Handling constraints in particle swarm optimization using a small population size
MICAI'07 Proceedings of the artificial intelligence 6th Mexican international conference on Advances in artificial intelligence
Stochastic ranking for constrained evolutionary optimization
IEEE Transactions on Evolutionary Computation
A simple multimembered evolution strategy to solve constrained optimization problems
IEEE Transactions on Evolutionary Computation
Computers and Operations Research
A dynamic convexized method for nonconvex mixed integer nonlinear programming
Computers and Operations Research
An augmented Lagrangian fish swarm based method for global optimization
Journal of Computational and Applied Mathematics
Max-k-Cut by the Discrete Dynamic Convexized Method
INFORMS Journal on Computing
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This paper considers the nonlinearly constrained continuous global minimization problem. Based on the idea of the penalty function method, an auxiliary function, which has approximately the same global minimizers as the original problem, is constructed. An algorithm is developed to minimize the auxiliary function to find an approximate constrained global minimizer of the constrained global minimization problem. The algorithm can escape from the previously converged local minimizers, and can converge to an approximate global minimizer of the problem asymptotically with probability one. Numerical experiments show that it is better than some other well known recent methods for constrained global minimization problems.