SNOPT: An SQP Algorithm for Large-Scale Constrained Optimization
SIAM Journal on Optimization
Global Optimization on Funneling Landscapes
Journal of Global Optimization
Packing equal circles in a square: a deterministic global optimization approach
Discrete Applied Mathematics
An effective hybrid algorithm for the problem of packing circles into a larger containing circle
Computers and Operations Research
Reformulation descent applied to circle packing problems
Computers and Operations Research
A New Verified Optimization Technique for the "Packing Circles in a Unit Square" Problems
SIAM Journal on Optimization
New Approaches to Circle Packing in a Square: With Program Codes (Springer Optimization and Its Applications)
A Population-based Approach for Hard Global Optimization Problems based on Dissimilarity Measures
Mathematical Programming: Series A and B
Minimizing the object dimensions in circle and sphere packing problems
Computers and Operations Research
Adaptive and restarting techniques-based algorithms for circular packing problems
Computational Optimization and Applications
Cutting circles and polygons from area-minimizing rectangles
Journal of Global Optimization
Efficiently packing unequal disks in a circle
Operations Research Letters
A heuristic approach for packing identical rectangles in convex regions
Computers and Operations Research
Discrete Applied Mathematics
Packing unequal circles using formulation space search
Computers and Operations Research
Advances in Artificial Intelligence - Special issue on Artificial Intelligence Applications in Biomedicine
Computers and Industrial Engineering
Differential evolution methods based on local searches
Computers and Operations Research
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In this paper we propose a Monotonic Basin Hopping approach and its population-based variant Population Basin Hopping to solve the problem of packing equal and unequal circles within a circular container with minimum radius. Extensive computational experiments have been performed both to analyze the problem at hand, and to choose in an appropriate way the parameter values for the proposed methods. Different improvements with respect to the best results reported in the literature have been detected.