Artículos de revistas
New and improved results for packing identical unitary radius circles within triangles, rectangles and strips
Fecha
2010Registro en:
COMPUTERS & OPERATIONS RESEARCH, v.37, n.7, p.1318-1327, 2010
0305-0548
10.1016/j.cor.2009.09.017
Autor
BIRGIN, Ernesto G.
GENTIL, Jan M.
Institución
Resumen
The focus of study in this paper is the class of packing problems. More specifically, it deals with the placement of a set of N circular items of unitary radius inside an object with the aim of minimizing its dimensions. Differently shaped containers are considered, namely circles, squares, rectangles, strips and triangles. By means of the resolution of non-linear equations systems through the Newton-Raphson method, the herein presented algorithm succeeds in improving the accuracy of previous results attained by continuous optimization approaches up to numerical machine precision. The computer implementation and the data sets are available at http://www.ime.usp.br/similar to egbirgin/packing/. (C) 2009 Elsevier Ltd, All rights reserved.