Complement to a comparative analysis of heuristics for the p-median problem

Complement to a comparative analysis of heuristics for the p-median problem
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DOI:
10.1007/s11222-007-9036-9
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发表时间:
2008-03-01
影响因子:
2.2
通讯作者:
Mladenovic, Nenad
Mladenovic, Nenad
中科院分区:
数学2区
文献类型:
--
作者:
Hansen, Pierre;Mladenovic, Nenad

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最近对进化、神经网络和分散搜索启发式解决p中值问题的比较是通过(i)收集或获得精确的最优值来精确评估误差,以及(ii)包括变量邻域搜索(VNS)启发式的几个变体获得的结果。对于第一个众所周知的系列实例,进化启发式和神经网络启发式的平均误差超过10%,比VNS大1000多倍。对于第二个序列,该误差约为3%,而并行VNS和混合启发式的误差约为0.01%,并行分散搜索的误差更小。
A recent comparison of evolutionary, neural network, and scatter search heuristics for solving the p-median problem is completed by (i) gathering or obtaining exact optimal values in order to evaluate errors precisely, and (ii) including results obtained with several variants of a variable neighborhood search (VNS) heuristic. For a first, well-known, series of instances, the average errors of the evolutionary and neural network heuristics are over 10% and more than 1000 times larger than that of VNS. For a second series, this error is about 3% while the errors of the parallel VNS and of a hybrid heuristic are about 0.01% and that of parallel scatter search even smaller.