Curvature-constrained Steiner networks with three terminals

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-06-17 DOI:10.1007/s10898-024-01414-z

Peter A. Grossman, David Kirszenblat, Marcus Brazil, J. Hyam Rubinstein, Doreen A. Thomas

引用次数: 0

Abstract

A procedure is presented for finding the shortest network connecting three given undirected points, subject to a curvature constraint on both the path joining two of the points and the path that connects to the third point. The problem is a generalisation of the Fermat–Torricelli problem and is related to a shortest curvature-constrained path problem that was solved by Dubins. The procedure has the potential to be applied to the optimal design of decline networks in underground mines.

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有三个终端的曲率受限斯坦纳网络

本文提出了一个程序，用于寻找连接三个给定无向点的最短网络，该程序对连接其中两点的路径和连接第三点的路径都有曲率约束。该问题是费马-托里切利问题的一般化，与杜宾斯解决的最短曲率约束路径问题有关。该程序有望应用于地下矿井巷道网络的优化设计。

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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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.