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Effciency Analysis of the Vertex Clustering in Solving the Traveling Salesman Problem

机译:求解旅行商问题的顶点聚类效率分析

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The TSP is the problem to find the shortest path in a graph visiting every nodes exactly once and returning to the start node. Due to the high complexity of TSP, there exists no algorithm for global exact optimization with polynomial cost. In order to provide an acceptable solution for real life problems, the TSP are usually solved with some heuristic optimization problem. The paper proposes a multi layered optimization model, where the node set is partitioned into clusters or into hierarchy of clusters. Based on the test experiments the proposed method is superior to the single level optimization method for both the TSP and MTSP problems.
机译:TSP是在图形中找到最短路径的问题,该最短路径恰好访问每个节点一次并返回到起始节点。由于TSP的高度复杂性,因此不存在用于以多项式代价进行全局精确优化的算法。为了为现实生活中的问题提供可接受的解决方案,通常使用一些启发式优化问题来解决TSP。本文提出了一种多层优化模型,其中将节点集划分为群集或群集层次结构。基于测试实验,对于TSP和MTSP问题,该方法均优于单级优化方法。

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