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Related papers: 3.415-Approximation for Coflow Scheduling via Iter…

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Datacenter networks commonly facilitate the transmission of data in distributed computing frameworks through coflows, which are collections of parallel flows associated with a common task. Most of the existing research has concentrated on…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-10-24 Olivier Brun , Rachid El-Azouzi , Quang-Trung Luu , Francesco De Pellergrini , Balakrishna J. Prabhu , Cédric Richier

We obtain a 1.5-approximation algorithm for the metric uncapacitated facility location problem (UFL), which improves on the previously best known 1.52-approximation algorithm by Mahdian, Ye and Zhang. Note, that the approximability lower…

Data Structures and Algorithms · Computer Science 2009-02-04 Jaroslaw Byrka , Karen Aardal

We study the approximability of an existing framework for clustering edge-colored hypergraphs, which is closely related to chromatic correlation clustering and is motivated by machine learning and data mining applications where the goal is…

Data Structures and Algorithms · Computer Science 2023-05-16 Nate Veldt

The approximation ratio of the longest processing time (LPT) scheduling algorithm has been studied in several papers. While the tight approximation ratio is known for the case when all processors are identical, the ratio is not yet known…

Discrete Mathematics · Computer Science 2022-03-08 Takuto Mitsunobu , Reiji Suda , Vorapong Suppakitpaisarn

A coflow is a collection of parallel flows belonging to the same job. It has the all-or-nothing property: a coflow is not complete until the completion of all its constituent flows. In this paper, we focus on optimizing \emph{coflow-level…

Networking and Internet Architecture · Computer Science 2017-01-11 Qingkai Liang , Eytan Modiano

We study flow scheduling under node capacity constraints. We are given capacitated nodes and an online sequence of jobs, each with a release time and a demand to be routed between two nodes. A schedule specifies which jobs are routed in…

Data Structures and Algorithms · Computer Science 2021-11-17 Searidang Pa , Rajmohan Rajaraman , David Stalfa

Weighted flow time is a fundamental and very well-studied objective function in scheduling. In this paper, we study the setting of a single machine with preemptions. The input consists of a set of jobs, characterized by their processing…

Data Structures and Algorithms · Computer Science 2020-11-12 Lars Rohwedder , Andreas Wiese

In the problem called single resource constraint scheduling, we are given $m$ identical machines and a set of jobs, each needing one machine to be processed as well as a share of a limited renewable resource $R$. A schedule of these jobs is…

Data Structures and Algorithms · Computer Science 2021-07-06 Klaus Jansen , Malin Rau

We consider the classic Correlation Clustering problem: Given a complete graph where edges are labelled either $+$ or $-$, the goal is to find a partition of the vertices that minimizes the number of the \pedges across parts plus the number…

Data Structures and Algorithms · Computer Science 2023-10-02 Vincent Cohen-Addad , Euiwoong Lee , Shi Li , Alantha Newman

Coflow provides a key application-layer abstraction for capturing communication patterns, enabling the efficient coordination of parallel data flows to reduce job completion times in distributed systems. Modern data center networks (DCNs)…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-10 Xin Wang , Hong Shen , Hui Tian , Dong Wang

The (Non-Preemptive) Throughput Maximization problem is a natural and fundamental scheduling problem. We are given $n$ jobs, where each job $j$ is characterized by a processing time and a time window, contained in a global interval $[0,T)$,…

Data Structures and Algorithms · Computer Science 2026-04-01 Alexander Armbruster , Fabrizio Grandoni , Antoine Tinguely , Andreas Wiese

We consider routing in reconfigurable networks, which is also known as coflow scheduling in the literature. The algorithmic literature generally (perhaps implicitly) assumes that the amount of data to be transferred is large. Thus the…

Data Structures and Algorithms · Computer Science 2026-03-17 Alexander Lindermayr , Kirk Pruhs , Andréa W. Richa , Tegan Wilson

Many problems in machine learning can be solved by rounding the solution of an appropriate linear program (LP). This paper shows that we can recover solutions of comparable quality by rounding an approximate LP solution instead of the ex-…

Numerical Analysis · Computer Science 2013-11-19 Srikrishna Sridhar , Victor Bittorf , Ji Liu , Ce Zhang , Christopher Ré , Stephen J. Wright

We present improved approximation algorithms in stochastic optimization. We prove that the multi-stage stochastic versions of covering integer programs (such as set cover and vertex cover) admit essentially the same approximation algorithms…

Data Structures and Algorithms · Computer Science 2017-12-20 Jaroslaw Byrka , Aravind Srinivasan

We consider single-machine scheduling problems that are natural generalizations or variations of the min-sum set cover problem and the min-sum vertex cover problem. For each of these problems, we give new approximation algorithms. Some of…

Data Structures and Algorithms · Computer Science 2020-01-22 Felix Happach , Andreas S. Schulz

Correlation Clustering is a classic clustering objective arising in numerous machine learning and data mining applications. Given a graph $G=(V,E)$, the goal is to partition the vertex set into clusters so as to minimize the number of edges…

Data Structures and Algorithms · Computer Science 2024-07-17 Vincent Cohen-Addad , David Rasmussen Lolck , Marcin Pilipczuk , Mikkel Thorup , Shuyi Yan , Hanwen Zhang

In the classic Correlation Clustering problem introduced by Bansal, Blum, and Chawla (FOCS 2002), the input is a complete graph where edges are labeled either $+$ or $-$, and the goal is to find a partition of the vertices that minimizes…

Data Structures and Algorithms · Computer Science 2025-11-03 Nairen Cao , Vincent Cohen-Addad , Euiwoong Lee , Shi Li , Alantha Newman , Lukas Vogl

In this paper, we present a new iterative rounding framework for many clustering problems. Using this, we obtain an $(\alpha_1 + \epsilon \leq 7.081 + \epsilon)$-approximation algorithm for $k$-median with outliers, greatly improving upon…

Data Structures and Algorithms · Computer Science 2018-04-09 Ravishankar Krishnaswamy , Shi Li , Sai Sandeep

This paper addresses resource allocation for entanglement distribution in multi-channel quantum networks. A system model is proposed that integrates a multi-channel quantum network architecture with heterogeneous link characteristics and…

Quantum Physics · Physics 2026-05-07 Gongyu Ni , Lester Ho

Building on previous research on frequency allocation optimization for superconducting circuit quantum processors, this work incorporates several new techniques to improve overall solution quality. New features include tightening…

Quantum Physics · Physics 2025-01-27 Zewen Zhang , Pranav Gokhale , Jeffrey M. Larson