Two personification strategies for solving circles packing problem
Two personification strategies for solving circles packing problem
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DOI:
10.1007/bf02916995
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发表时间:
1999-12
期刊:
影响因子:
--
通讯作者:
Wenqi Huang;Ruchu Xu
中科院分区:
文献类型:
--
作者:
Wenqi Huang;Ruchu Xu
Two personification strategies are presented, which yield a highly efficient and practical algorithm for solving one of the NP hard problems—circles packing problem on the basis of the quasi-physical algorithm. A very clever polynomial time complexity degree approximate algorithm for solving this problem has been reported by Dorit S. Hochbaum and Wolfgang Maass inJ. ACM. Their algorithm is extremely thorough-going and of great theoretical significance. But, just as they pointed out, their algorithm is feasible only in conception and even for examples frequently encountered in everyday life and of small scale, it is the case more often than not that up to a million years would be needed to perform calculations with this algorithm. It is suggested toward the end of their paper that a heuristic algorithm of higher practical effectiveness should be sought out. A direct response to their suggestion is intented to provide.