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- W3142689910 abstract "The equal circle packing problem is a well-known challenge in geometry.It is also a natural,clear and fair test system for global optimization.This paper presents a quasi-physical global optimization algorithm for solving the equal circle packing problem.The algorithm simulates two kinds of movements of N elastic disks: smooth movement driven by elastic pressures and violent movement driven by strong repulsive forces and attractive forces.The smooth movement makes the disks reach a locally optimal configuration,while the violent movement makes them jump out of the local optimum trap and reach a more promising place.The algorithm is tested on the widely studied instances of N = 1,2,...,150.We find better packings than the reported best-known ones on 37 instances and reproduce the best-known results on the remaining 113 instances." @default.
- W3142689910 created "2021-04-13" @default.
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- W3142689910 date "2011-01-01" @default.
- W3142689910 modified "2023-09-28" @default.
- W3142689910 title "Quasi-physical global optimization method for solving the equal circle packing problem" @default.
- W3142689910 hasPublicationYear "2011" @default.
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