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The cable-trench problem is defined as a linear combination of the shortest path and the minimum spanning tree problem. In particular, the goal is to find a spanning tree that simultaneously minimizes its total length and the total path…

最优化与控制 · 数学 2023-12-22 Lara Löhken , Michael Stiglmayr

This paper investigates the \emph{Wiring Diagram Problem} (WDP), a three-dimensional layout design problem arising in industrial applications such as cable harness design and pipeline routing in constrained environments. In these settings,…

最优化与控制 · 数学 2026-03-10 Víctor Blanco , Gabriel González , Justo Puerto

Given a graph $G$ rooted at a vertex $r$ and weight functions, $\gamma, \tau: E(G) \rightarrow \mathbb{R}$, the generalized cable-trench problem (CTP) is to find a single spanning tree that simultaneously minimizes the sum of the total edge…

组合数学 · 数学 2025-02-12 Mya Davis , Carl Hammarsten , Siddarth Menon , Maria Pasaylo , Dane Sheridan

Energy systems optimization problems are complex due to strongly non-linear system behavior and multiple competing objectives, e.g. economic gain vs. environmental impact. Moreover, a large number of input variables and different variable…

In transmission networks, power flows and network topology are deeply intertwined due to power flow physics. Recent literature shows that a specific more hierarchical network structure can effectively inhibit the propagation of line…

最优化与控制 · 数学 2025-02-06 Leon Lan , Alessandro Zocca

One of the key problems in tensor network based quantum circuit simulation is the construction of a contraction tree which minimizes the cost of the simulation, where the cost can be expressed in the number of operations as a proxy for the…

量子物理 · 物理学 2022-09-08 Cameron Ibrahim , Danylo Lykov , Zichang He , Yuri Alexeev , Ilya Safro

This paper investigates the problem of link scheduling to meet traffic demands with minimum airtime in a multi-transmit-receive (MTR) wireless network. MTR networks are a new class of networks, in which each node can simultaneously transmit…

网络与互联网体系结构 · 计算机科学 2011-07-12 Hong-Ning Dai , Soung Chang Liew , Liqun Fu

Tree projections provide a unifying framework to deal with most structural decomposition methods of constraint satisfaction problems (CSPs). Within this framework, a CSP instance is decomposed into a number of sub-problems, called views,…

人工智能 · 计算机科学 2017-11-15 Georg Gottlob , Gianlugi Greco , Francesco Scarcello

Modern route planners such as Google Maps and Apple Maps serve millions of users worldwide, optmizing routes in large-scale road networks where fast responses are required under diverse cost metrics including travel time, fuel consumption,…

数据结构与算法 · 计算机科学 2026-04-14 Muhammad Farhan , Henning Koehler

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

An increasing number of electronics are directly embedded on the clothing to monitor human status (e.g., skeletal motion) or provide haptic feedback. A specific challenge to prototype and fabricate such a clothing is to design the wiring…

人机交互 · 计算机科学 2023-09-25 Kai Wang , Xiaoyu Xu , Yinping Zhen , Da Zhou , Shihui Guo , Yipeng Qin , Xiaohu Guo

Short spanning trees subject to additional constraints are important building blocks in various approximation algorithms. Especially in the context of the Traveling Salesman Problem (TSP), new techniques for finding spanning trees with…

数据结构与算法 · 计算机科学 2023-09-13 Martin Nägele , Rico Zenklusen

We introduce the Pickup and Delivery Problem with Time Windows and Scheduling on the Edges (PDPTW-SE), a generalization of the PDPTW that integrates vehicle routing and machine scheduling. The problem involves defining routes for…

最优化与控制 · 数学 2025-11-12 Vítor A. Barbosa , Sunil Tiwari , Rafael A. Melo

The traditional multi-commodity flow problem assumes a given flow network in which multiple commodities are to be maximally routed in response to given demands. This paper considers the multi-commodity flow network-design problem: given a…

数据结构与算法 · 计算机科学 2015-06-02 Samir Khuller , Balaji Raghavachari , Neal E. Young

Tree-reweighted max-product (TRW) message passing is a modified form of the ordinary max-product algorithm for attempting to find minimal energy configurations in Markov random field with cycles. For a TRW fixed point satisfying the strong…

人工智能 · 计算机科学 2012-07-09 Vladimir Kolmogorov , Martin Wainwright

Global optimization of decision trees is a long-standing challenge in combinatorial optimization, yet such models play an important role in interpretable machine learning. Although the problem has been investigated for several decades, only…

机器学习 · 计算机科学 2026-02-03 Jiancheng Tu , Wenqi Fan , Zhibin Wu

In serial batch (s-batch) scheduling, jobs from similar families are grouped into batches and processed sequentially to avoid repetitive setups that are required when processing consecutive jobs of different families. Despite its large…

人工智能 · 计算机科学 2025-11-21 Jorge A. Huertas , Pascal Van Hentenryck

Motivated by the cabling of solar farms, we study the problem Constrained Layer Tree. At its core, it asks whether there exists a tree that connects a set of sources (the leaves) to one sink (the root) such that certain capacity constraints…

数据结构与算法 · 计算机科学 2024-10-22 Thomas Bläsius , Max Göttlicher , Sascha Gritzbach , Wendy Yi

Given a graph $G=(V,E)$ with a weight $w_v$ associated with each vertex $v\in V$, the maximum weighted induced forest problem (MWIF) consists of encountering a maximum weighted subset $V'\subseteq V$ of the vertices such that $V'$ induces a…

最优化与控制 · 数学 2021-12-06 Rafael A. Melo , Celso C. Ribeiro

We address the problem of efficiently gathering correlated data from a wired or a wireless sensor network, with the aim of designing algorithms with provable optimality guarantees, and understanding how close we can get to the known…

网络与互联网体系结构 · 计算机科学 2009-08-03 Jian Li , Amol Deshpande , Samir Khuller
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