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A dynamic adaptive local search algorithm for the circular packing problem
DOI:10.1016/j.ejor.2005.11.069.png)
摘要
En 中文
This paper studies the circular packing problem (CPP) which consists of packing n non-identical circles C-i of known radius r(i), i is an element of N = { 1,...,n}, into the smallest containing circle C. The objective is to determine the coordinates (x(i),y(i)) of the center of C-i, i is an element of N, as well as the radius r and center (x,y) of C. This problem, which is a variant of the two-dimensional open dimension problem, is solved using a two-step, dynamic, adaptive, local search algorithm. At each iteration, the algorithm identifies the set of potential best local positions of a circle C-i, i is an element of N, given the positions of the previously packed circles, and determines for each of these positions the coordinates and radius of the smallest containing circle. The best local position minimizes the radius of the current containing circle. That is, every time an additional circle is packed, both the center and the radius of the containing circle are dynamically updated, and the smallest containing circle is known. The experimental results reflect the good performance of the algorithm. (C) 2006 Elsevier B. V. All rights reserved.
Keyword:
heuristics
combinatorial optimization
cutting and packing
dynamic search
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期刊
IF:
6
论文数:
2.2W
被引数:
6.4W
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