Global minimization of large-scale constrained concave quadratic problems by separable programming
Mathematical Programming: Series A and B
New results in the packing of equal circles in a square
Discrete Mathematics
Computational Statistics & Data Analysis
Construction of test problems for concave minimization under linear and nonlinear constraints
Journal of Optimization Theory and Applications
An introduction to differential evolution
New ideas in optimization
Monotonic Optimization: Problems and Solution Approaches
SIAM Journal on Optimization
A Finite Algorithm for Global Minimization ofSeparable Concave Programs
Journal of Global Optimization
Minimizing Increasing Star-shaped Functions Based on Abstract Convexity
Journal of Global Optimization
Finite Exact Branch-and-Bound Algorithms for Concave Minimization over Polytopes
Journal of Global Optimization
Solving Standard Quadratic Optimization Problems via Linear, Semidefinite and Copositive Programming
Journal of Global Optimization
A Differential Free Point Generation Scheme in the Differential Evolution Algorithm
Journal of Global Optimization
Journal of Global Optimization
A constraint handling approach for the differential evolution algorithm
CEC '02 Proceedings of the Evolutionary Computation on 2002. CEC '02. Proceedings of the 2002 Congress - Volume 02
Information Sciences: an International Journal
Differential evolution with dynamic stochastic selection for constrained optimization
Information Sciences: an International Journal
Population size reduction for the differential evolution algorithm
Applied Intelligence
ISDA '09 Proceedings of the 2009 Ninth International Conference on Intelligent Systems Design and Applications
Differential evolution in constrained numerical optimization: An empirical study
Information Sciences: an International Journal
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ANTS'06 Proceedings of the 5th international conference on Ant Colony Optimization and Swarm Intelligence
System design by constraint adaptation and differential evolution
IEEE Transactions on Evolutionary Computation
A Multiobjective Optimization-Based Evolutionary Algorithm for Constrained Optimization
IEEE Transactions on Evolutionary Computation
A note on composite concave quadratic programming
Operations Research Letters
Differential evolution for dynamic environments with unknown numbers of optima
Journal of Global Optimization
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We both propose and test an implicit strategy that is based on changing the search space from points to directions, which in combination with the Differential Evolution (DE) algorithm, is easily implemented for solving boundary optimization of a generic continuous function. In particular, we see that the DE method can be efficiently implemented to find solutions on the boundary of a convex and bounded feasible set resulting when the constraints are bounds on the variables, linear inequalities and quadratic convex inequalities. The computational results are performed on different classes of boundary minimization problems. The proposed technique is compared with the Generalized Differential Evolution method.