欧氏TSP聚类策略的初步结果

Abdulah Fajar, N. A. Abu, N. Suryana
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引用次数: 2

摘要

基于聚类策略的组合优化问题的研究越来越受到人们的关注,特别是旅行商问题(TSP)。由于TSP作为一个子问题自然地出现在许多运输、制造和各种物流应用中,因此引起了数学家和计算机科学家的广泛关注。聚类策略将TSP分解成子图并形成聚类,从而可以将TSP图简化为更小的问题。本研究的主要目的是产生适合欧几里得TSP的更好的聚类策略。本研究的一般方法是生成一种能够处理大型集群的算法。下一步是生成Hamilton路径算法,然后是集群间连接算法,形成全局巡回。本研究的重要意义在于,与最知名的解(TSPLIB)相比,解的结果误差小于10%,并且为了适应这种欧几里得TSP方法,改进了层次聚类策略。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Initial Result of Clustering Strategy to Euclidean TSP
There has been growing interest in studying combinatorial optimization problems by clustering strategy, with a special emphasis on the traveling salesman problem (TSP). Since TSP naturally arises as a sub problem in many transportation, manufacturing and various logistics application, this problem has caught much attention of mathematicians and computer scientists. A clustering strategy will decompose TSP into subgraph and form clusters, so it may reduce the TSP graph to smaller problem. The primary objective of this research is to produce a better clustering strategy that fit into Euclidean TSP. General approach for this research is to produce an algorithm for generating clusters and able to handle large size cluster. The next step is to produce Hamilton path algorithm and followed by inter cluster connection algorithm to form global tour. The significant of this research is solution result error less than 10% compare to best known solution (TSPLIB) and there is an improvement to a hierarchical clustering strategy in order to fit in such the Euclidean TSP method.
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