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相关论文: Submarine Cable Network Design for Regional Connec…

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This paper provides an optimized cable path planning solution for a tree-topology network in an irregular 2D manifold in a 3D Euclidean space, with an application to the planning of submarine cable networks. Our solution method is based on…

系统与控制 · 电气工程与系统科学 2021-05-05 Tianjiao Wang , Zengfu Wang , Bill Moran , Moshe Zukerman

The Euclidean Steiner tree problem seeks the min-cost network to connect a collection of target locations, and it underlies many applications of wireless networks. In this paper, we present a study on solving the Euclidean Steiner tree…

机器学习 · 计算机科学 2022-09-22 Siqi Wang , Yifan Wang , Guangmo Tong

The Euclidean Steiner tree problem, normally posed in two dimensions, seeks to connect a set of prescribed terminal nodes by placing additional nodes, known as Steiner points, with edges connecting such nodes either to another Steiner point…

系统与控制 · 电气工程与系统科学 2026-04-24 Manou Rosenberg , Mengbin Ye , Brian D. O. Anderson

We introduce a flow-dependent version of the quadratic Steiner tree problem in the plane. An instance of the problem on a set of embedded sources and a sink asks for a directed tree $T$ spanning these nodes and a bounded number of Steiner…

度量几何 · 数学 2011-11-11 Marcus Brazil , Charl Ras , Doreen Thomas

Emerging optical and virtualization technologies enable the design of more flexible and demand-aware networked systems, in which resources can be optimized toward the actual workload they serve. For example, in a demand-aware datacenter…

网络与互联网体系结构 · 计算机科学 2023-08-22 Aleksander Figiel , Janne H. Korhonen , Neil Olver , Stefan Schmid

In traditional topology optimization, the computing time required to iteratively update the material distribution within a design domain strongly depends on the complexity or size of the problem, limiting its application in real engineering…

计算工程、金融与科学 · 计算机科学 2024-05-14 Gabriel Garayalde , Matteo Torzoni , Matteo Bruggi , Alberto Corigliano

We consider the problem of embedding the Steiner points of a Steiner tree with given topology into the rectilinear plane. Thereby, the length of the path between a distinguished terminal and each other terminal must not exceed given length…

数据结构与算法 · 计算机科学 2015-08-19 Jens Maßberg

This paper introduces an exact algorithm for the construction of a shortest curvature-constrained network interconnecting a given set of directed points in the plane and an iterative method for doing so in 3D space. Such a network will be…

In the Euclidean Steiner Tree problem, we are given as input a set of points (called terminals) in the $\ell_2$-metric space and the goal is to find the minimum-cost tree connecting them. Additional points (called Steiner points) from the…

We study a generalization of the Steiner tree problem, where we are given a weighted network $G$ together with a collection of $k$ subsets of its vertices and a root $r$. We wish to construct a minimum cost network such that the network…

数据结构与算法 · 计算机科学 2017-07-12 Guru Guruganesh , Jennifer Iglesias , R. Ravi , Laura Sanità

Bottleneck Steiner networks model energy consumption in wireless ad-hoc networks. The task is to design a network spanning a given set of terminals and at most $k$ Steiner points such that the length of the longest edge is minimised. The…

组合数学 · 数学 2019-07-09 M Brazil , C Ras , D Thomas , G Xu

In this paper, we introduce the Fixed Topology Minimum-Length Tree with Neighborhood Problem, which aims to embed a rooted tree-shaped graph into a $d$-dimensional metric space while minimizing its total length provided that the nodes must…

最优化与控制 · 数学 2024-09-09 Víctor Blanco , Gabriel González , Justo Puerto

Spanning trees are an important primitive in many data analysis tasks, when a data set needs to be summarized in terms of its "skeleton", or when a tree-shaped graph over all observations is required for downstream processing. Popular…

离散数学 · 计算机科学 2024-04-10 Enrique Fita Sanmartín , Christoph Schnörr , Fred A. Hamprecht

Branched Optimal Transport (BOT) is a generalization of optimal transport in which transportation costs along an edge are subadditive. This subadditivity models an increase in transport efficiency when shipping mass along the same route,…

机器学习 · 计算机科学 2022-10-17 Peter Lippmann , Enrique Fita Sanmartín , Fred A. Hamprecht

In the classical (min-cost) Steiner tree problem, we are given an edge-weighted undirected graph and a set of terminal nodes. The goal is to compute a min-cost tree S which spans all terminals. In this paper we consider the min-power…

数据结构与算法 · 计算机科学 2012-05-17 Fabrizio Grandoni

Consider the following problem: given a graph with edge costs and a subset Q of vertices, find a minimum-cost subgraph in which there are two edge-disjoint paths connecting every pair of vertices in Q. The problem is a failure-resilient…

数据结构与算法 · 计算机科学 2015-10-01 Glencora Borradaile , Philip Klein

We propose a planning method for offshore wind farm electrical collector system (OWF-ECS) with double-sided ring topology meeting the "N-1" criterion on cable faults, in which the submarine cables layout of OWF is optimized considering…

系统与控制 · 电气工程与系统科学 2023-01-31 Xinwei Shen , Qiuwei Wu , Hongcai Zhang , Liming Wang

We are interested in the design of robust (or resilient) capacitated rooted Steiner networks in case of terminals with uniform demands. Formally, we are given a graph, capacity and cost functions on the edges, a root, a subset of nodes…

最优化与控制 · 数学 2018-01-16 Cédric Bentz , Marie-Christine Costa , Pierre-Louis Poirion , Thomas Ridremont

Existing planning approaches for onshore wind farm siting and grid integration often do not meet minimum cost solutions or social and environmental considerations. In this paper, we develop an exact approach for the integrated layout and…

最优化与控制 · 数学 2024-05-14 Jaap Pedersen , Jann Michael Weinand , Chloi Syranidou , Daniel Rehfeldt

In this paper we consider spatial networks that realize a balance between an infrastructure cost (the cost of wire needed to connect the network in space) and communication efficiency, measured by average shortest pathlength. A global…

无序系统与神经网络 · 物理学 2015-05-19 Markus Brede
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