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An Efficient Heuristic for the Traveling Salesman Problem Based on a Growing SOM-like Algorithm

机译:基于类SOM算法的旅行商问题高效启发式算法

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A growing self-organizing (SOM) neural network, enhanced with a local search heuristic is proposed as an efficient traveling salesman problem solver. A ring structure of processing units is evolved in time with a Kohonen type adaptation dynamics together with a simple growing rule in the number of processing units. The result is a neural network heuristic for the TSP with a computational complexity of O(n~2), comparable to other reported SOM-like networks. The tour emerging from the SOM network is enhanced by the application of a simple greedy 2-Opt local search. Experiments over a broad set of TSP instances are carried out. The experimental results show a solution accuracy equivalent to that of the best SOM based heuristics reported in the literature.
机译:提出了一个不断壮大的自组织(SOM)神经网络,并通过本地搜索启发式方法进行了增强,它是一种有效的旅行推销员问题求解器。处理单元的环形结构随着Kohonen类型的适应动力学以及处理单元数量的简单增长规律而随时间演变。结果是对TSP的神经网络启发式算法,其计算复杂度为O(n〜2),可与其他报告的类似SOM的网络相比。通过使用简单的贪婪的2-Opt本地搜索,可以增强SOM网络中出现的游览功能。进行了一系列广泛的TSP实例的实验。实验结果表明,其求解精度与文献中报道的基于最佳SOM的启发式算法相当。

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