旅行商问题的复杂性指数继续存在

Q3 Decision Sciences
D. Cvetkovic, Zorica Dražić, V. Kovacevic-Vujcic
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引用次数: 0

摘要

我们考虑对称旅行商问题(TSP),其实例由完全图G表示,城市之间的距离作为边权。复杂度指数是实例I的不变量,我们通过它来预测精确TSP算法I的执行时间。在论文[5]中,我们考虑了G的一些短边子图,并定义了与它们的连通分量相关的几个新的不变量。在区间[1100]内,50个顶点上的整数边权均匀分布的实例的大量计算实验表明,所选择的不变量序列与著名的TSP求解器Concorde的执行时间序列之间存在相关性。在本文中,我们将这些考虑扩展到多达100个顶点的实例。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Complexity indices for the traveling salesman problem continued
We consider the symmetric traveling salesman problem (TSP) with instances represented by complete graphs G with distances between cities as edge weights. A complexity index is an invariant of an instance I by which we predict the execution time of an exact TSP algorithm for I. In the paper [5] we have considered some short edge subgraphs of G and defined several new invariants related to their connected components. Extensive computational experiments with instances on 50 vertices with the uniform distribution of integer edge weights in the interval [1,100] show that there exists correlation between the sequences of selected invariants and the sequence of execution times of the well-known TSP Solver Concorde. In this paper we extend these considerations for instances up to 100 vertices.
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来源期刊
Yugoslav Journal of Operations Research
Yugoslav Journal of Operations Research Decision Sciences-Management Science and Operations Research
CiteScore
2.50
自引率
0.00%
发文量
14
审稿时长
24 weeks
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