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Abstract: In this work we propose a new stochastic optimization algorithm for solving the problem of optimal packing of n non-overlapping equal circles in a square. It will be shown that our procedure can find most of the optimal solutions for all the problems previously solved and reported in the literature. Results obtained by our algorithm for up to 100 circles are given in relevant numerical and graphical form. For n = 32, 37, 47, 62 and 72 the algorithm has obtained better solutions than those... (Update)
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BibTeX entry: (Update)
@misc{ casado-packing,
author = "L.G. Casado and I. Garc\'ia",
title = "Packing Equal Circles in a Square {II}. --- New Results for up to 100 Circles
Using the {TAMSASS-PECS} Algorithm",
url = "citeseer.ist.psu.edu/article/casado00packing.html" }
Citations (may not include all citations):48 Minimization by random search techniques (context) - Solis, Wets - 1981
41 Threshold accepting: a general purpose optimization algorith.. (context) - Dueck, Scheuer - 1990
25 Repeated patterns of dense packings of equal disks in a squa.. - Graham, Lubachevsky - 1996
24 Evolving recurrent perceptrons for time-series modeling (context) - McDonnell, Waagen - 1994
23 Packing up to 50 equal circles in a square (context) - Nurmela, Osterg - 1997
21 Packing circles in a square: a review and new results (context) - Peikert, urtz et al. - 1992
19 New results in the packing of equal circles in a square - Maranas, Floudas et al. - 1995
14 Dichteste Packungen von gleichen Kreisen in einem Quadrat (context) - Peikert - 1994
8 Constructing combinatorial designs by local search - Nurmela - 1993
7 Some progress in the packing of equal circles in a square (context) - Mollard, Payan - 1990
6 John Willey and Sons (context) - Rao, Applications - 1978
5 Random search techniques for optimization problems (context) - Karnop - 1963
5 the convergence of threshold accepting (context) - Alth, Koschnick - 1991
5 Automatization and Remote Control (context) - Matyas - 1965
4 A Deterministic Global Optimization Approach for Solving the.. (context) - Locatelli, Raber - 1999
3 Problem Setting and Bounds for Optimal Solutions (context) - Szab, Csendes et al.
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