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A 2.75-approximation algorithm is proposed for the unconstrained traveling tournament problem, which is a variant of the traveling tournament problem. For the unconstrained traveling tournament problem, this is the first proposal of an…

Data Structures and Algorithms · Computer Science 2016-01-15 Shinji Imahori , Tomomi Matsui , Ryuhei Miyashiro

Global infrastructure robustness and local transport efficiency are critical requirements for transportation networks. However, since passengers often travel greedily to maximize their own benefit and trigger traffic jams, overall…

Adaptation and Self-Organizing Systems · Physics 2024-01-09 Alessandro Lonardi , Caterina De Bacco

This paper addresses the problem of optimal scheduling of an aggregated power profile (during a coordinated discharging or charging operation) by means of a heterogeneous fleet of storage devices subject to availability constraints. Devices…

Optimization and Control · Mathematics 2023-02-22 David Angeli , Zihang Dong , Goran Strbac

This article investigates the approximation quality achievable for biobjective minimization problems with respect to the Pareto cone by solutions that are (approximately) optimal with respect to larger ordering cones. When simultaneously…

Optimization and Control · Mathematics 2021-09-22 Arne Herzel , Stephan Helfrich , Stefan Ruzika , Clemens Thielen

We present a randomized distributed approximation algorithm for the metric uncapacitated facility location problem. The algorithm is executed on a bipartite graph in the Congest model yielding a (1.861 + epsilon) approximation factor, where…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-05-09 Patrick Briest , Bastian Degener , Barbara Kempkes , Peter Kling , Peter Pietrzyk

In this letter, a novel low complexity bit and power loading algorithm is formulated for multicarrier communication systems. The proposed algorithm jointly maximizes the throughput and minimizes the transmit power through a weighting…

Signal Processing · Electrical Eng. & Systems 2019-02-13 Ebrahim Bedeer , Octavia A. Dobre , Mohamed H. Ahmed , Kareem E. Baddour

We consider the problem of routing on a network in the presence of line segment constraints (i.e., obstacles that edges in our network are not allowed to cross). Let $P$ be a set of $n$ points in the plane and let $S$ be a set of…

Computational Geometry · Computer Science 2019-01-03 Prosenjit Bose , Matias Korman , André van Renssen , Sander Verdonschot

The paper focuses on two problems: (i) how to orient the edges of an undirected graph in order to maximize the number of ordered vertex pairs (x,y) such that there is a directed path from x to y, and (ii) how to orient the edges so as to…

Data Structures and Algorithms · Computer Science 2015-06-02 S. L. Hakimi , E. Schmeichel , Neal E. Young

We devise a constant-factor approximation algorithm for the maximization version of the edge-disjoint paths problem if the supply graph together with the demand edges form a planar graph. By planar duality this is equivalent to packing cuts…

Data Structures and Algorithms · Computer Science 2021-12-14 Chien-Chung Huang , Mathieu Mari , Claire Mathieu , Kevin Schewior , Jens Vygen

This study addresses optimal rake-link formation in large-scale timetabled rail operations by modeling the problem as a directed acyclic graph and solving it via the minimum path cover algorithm. It enables efficient rake-to-service…

Optimization and Control · Mathematics 2025-06-10 Sourav Dey

This article generalizes the study of ramified optimal transport with capacity constraint in transport multi-paths by generalizing the $\mathbf{M}_{\alpha}$ cost to $\mathbf{M}_{\alpha,c}$, which incorporates capacity constraints into the…

Optimization and Control · Mathematics 2025-10-14 Qinglan Xia , Haotian Sun

Bipartite Correlation clustering is the problem of generating a set of disjoint bi-cliques on a set of nodes while minimizing the symmetric difference to a bipartite input graph. The number or size of the output clusters is not constrained…

Data Structures and Algorithms · Computer Science 2010-12-15 Nir Ailon , Noa Avigdor-Elgrabli , Edo Liberty

In this paper, we propose a distributed algorithm for the minimum dominating set problem. For some especial networks, we prove theoretically that the achieved answer by our proposed algorithm is a constant approximation factor of the exact…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-01-05 Sharareh Alipour , Ehsan Futuhi , Shayan Karimi

We consider the problem of capacitated kinetic clustering in which $n$ mobile terminals and $k$ base stations with respective operating capacities are given. The task is to assign the mobile terminals to the base stations such that the…

Networking and Internet Architecture · Computer Science 2016-02-29 Chien-Chun Ni , Zhengyu Su , Jie Gao , Xianfeng David Gu

In most of the shortest path problems like vehicle routing problems and network routing problems, we only need an efficient path between two points source and destination, and it is not necessary to calculate the shortest path from source…

Data Structures and Algorithms · Computer Science 2009-11-03 Muhammad Aasim Qureshi , Dr. Fadzil B. Hassan , Sohail Safdar , Rehan Akbar

We consider a search algorithm for the output distribution that achieves the channel capacity of a discrete memoryless channel. We will propose an algorithm by iterated projections of an output distribution onto affine subspaces in the set…

Information Theory · Computer Science 2016-01-11 Kenji Nakagawa , Kohei Watabe , Takuto Sabu

This work studies distributed algorithms for locally optimal load-balancing: We are given a graph of maximum degree $\Delta$, and each node has up to $L$ units of load. The task is to distribute the load more evenly so that the loads of…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-02-17 Laurent Feuilloley , Juho Hirvonen , Jukka Suomela

In this paper we describe a new algorithm for buffered global routing according to a prescribed buffer site map. Specifically, we describe a provably good multi-commodity flow based algorithm that finds a global routing minimizing buffer…

Data Structures and Algorithms · Computer Science 2007-05-23 Christoph Albrecht , Andrew B. Kahng , Ion I. Mandoiu , Alexander Zelikovsky

We devise the first constant-factor approximation algorithm for finding an integral multi-commodity flow of maximum total value for instances where the supply graph together with the demand edges can be embedded on an orientable surface of…

Data Structures and Algorithms · Computer Science 2021-12-14 Chien-chung Huang , Mathieu Mari , Claire Mathieu , Jens Vygen

We investigate the complexity and approximability of the budget-constrained minimum cost flow problem, which is an extension of the traditional minimum cost flow problem by a second kind of costs associated with each edge, whose total value…

Data Structures and Algorithms · Computer Science 2016-07-11 Michael Holzhauser , Sven O. Krumke , Clemens Thielen