旅行商问题与两层合作分配问题约简中的相变

Q4 Materials Science

Radioelektronika, Nanosistemy, Informacionnye Tehnologii Pub Date : 2023-05-16 DOI:10.17587/it.29.236-242

A. M. Sheveleva, S. A. Belyaev

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引用次数: 0

摘要

本文研究了将NP-hard旅行商问题简化为两级合作分配问题的算法，反之亦然。通过算例验证了两种算法的信息准确性。利用旅行推销员问题中已知的相变条件，建立了该问题的副本，并在此基础上进行了计算实验。这个实验的目的是证明当把一个问题转化为另一个问题时，相变是守恒的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Phase Transitions in the Reduction of the Traveling Salesman Problem and the Two-Level Cooperative Assignment Problem

The paper considers algorithms for reducing the NP-hard traveling salesman problem to a two-level cooperative assignment problem and vice versa. The accuracy of the information of both algorithms is demonstrated by an example. Using the known conditions of the phase transition in the traveling salesman problem, copies of the problem were created, on which a computational experiment was subsequently carried out. The experiment is aimed at demonstrating the conservation of the phase transition when reducing one problem to another.

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来源期刊

Radioelektronika, Nanosistemy, Informacionnye Tehnologii Materials Science-Materials Science (miscellaneous)

CiteScore

0.60

自引率

0.00%

发文量

期刊介绍： Journal “Radioelectronics. Nanosystems. Information Technologies” (abbr RENSIT) publishes original articles, reviews and brief reports, not previously published, on topical problems in radioelectronics (including biomedical) and fundamentals of information, nano- and biotechnologies and adjacent areas of physics and mathematics. The authors of the journal are academicians, corresponding members and foreign members of the Russian Academy of Natural Sciences (RANS) and their colleagues, as well as other russian and foreign authors on the proposal of the members of RANS, which can be obtained by the author before sending articles to the editor or after its arrival on the recommendation of a member of the editorial board or another member of the RANS, who gave the opinion on the article at the request of the editior. The editors will accept articles in both Russian and English languages. Articles are internally peer reviewed (double-blind peer review) by members of the Editorial Board. Some articles undergo external review, if necessary. Designed for researchers, graduate students, physics students of senior courses and teachers. It turns out 2 times a year (that includes 2 rooms)