Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
478526 | European Journal of Operational Research | 2011 | 8 Pages |
Abstract
This paper considers the problem of finding the densest packing of N (N = 1, 2, …) equal circles in a circle. This problem is perhaps the most classical packing problem. It is also a natural and challenging test system for evaluating various global optimization methods. We propose a quasi-physical global optimization method by simulating two kinds of movements of N elastic disks: smooth movement driven by elastic pressures and abrupt movement driven by strong repulsive forces and attractive forces. The algorithm is tested on the instances of N = 1, 2, … , 200. Using the best-known record of the radius of the container as an upper bound, we find 63 new packings better than the best-known ones reported in literature.
Keywords
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Wenqi Huang, Tao Ye,