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MapReduce has become the de facto standard model for designing distributed algorithms to process big data on a cluster. There has been considerable research on designing efficient MapReduce algorithms for clustering, graph optimization, and…

数据结构与算法 · 计算机科学 2018-06-19 Nicholas J. A. Harvey , Christopher Liaw , Paul Liu

We study a variant of the competitive facility location problem, in which a company is to locate new facilities in a market where competitor's facilities already exist. We consider the scenario where only a limited number of possible…

最优化与控制 · 数学 2020-02-25 Yun Hui Lin , Qingyun Tian

We consider greedy contention managers for transactional memory for M x N execution windows of transactions with M threads and N transactions per thread. Assuming that each transaction conflicts with at most C other transactions inside the…

分布式、并行与集群计算 · 计算机科学 2010-02-23 Gokarna Sharma , Brett Estrade , Costas Busch

In this paper, we give first constant factor approximation for capacitated knapsack median problem (CKM) for hard uniform capacities, violating the budget only by an additive factor of $f_{max}$ where $f_{max}$ is the maximum cost of a…

数据结构与算法 · 计算机科学 2022-03-24 Sapna Grover , Neelima Gupta , Samir Khuller , Aditya Pancholi

In the online metric bipartite matching problem, we are given a set $S$ of server locations in a metric space. Requests arrive one at a time, and on its arrival, we need to immediately and irrevocably match it to a server at a cost which is…

计算几何 · 计算机科学 2018-03-21 Sharath Raghvendra

We consider the Fault-Tolerant Facility Placement problem ($FTFP$), which is a generalization of the classical Uncapacitated Facility Location problem ($UFL$). In the $FTFP$ problem we have a set of clients $C$ and a set of facilities $F$.…

数据结构与算法 · 计算机科学 2014-02-12 Bartosz Rybicki , Jaroslaw Byrka

Finding the diameter of a dataset in multidimensional Euclidean space is a well-established problem, with well-known algorithms. However, most of the algorithms found in the literature do not scale well with large values of data dimension,…

机器学习 · 计算机科学 2018-08-13 Ahmad B. Hassanat

Recent years have seen great progress in the approximability of fundamental clustering and facility location problems on high-dimensional Euclidean spaces, including $k$-Means and $k$-Median. While they admit strictly better approximation…

数据结构与算法 · 计算机科学 2025-01-31 Euiwoong Lee , Kijun Shin

The maximization for the independence systems defined on graphs is a generalization of combinatorial optimization problems such as the maximum $b$-matching, the unweighted MAX-SAT, the matchoid, and the maximum timed matching problems. In…

数据结构与算法 · 计算机科学 2022-08-23 Yuki Amano

In cooperative localization, communicating mobile agents use inter-agent relative measurements to improve their dead-reckoning-based global localization. Measurement scheduling enables an agent to decide which subset of available…

机器人学 · 计算机科学 2021-12-07 Jianan Zhu , Solmaz S. Kia

Optimal experimental design (OED) concerns itself with identifying ideal methods of data collection, e.g.~via sensor placement. The \emph{greedy algorithm}, that is, placing one sensor at a time, in an iteratively optimal manner, stands as…

最优化与控制 · 数学 2025-10-15 Christian Aarset

$\newcommand{\eps}{\varepsilon}$ In this paper, we consider two important problems defined on finite metric spaces, and provide efficient new algorithms and approximation schemes for these problems on inputs given as graph shortest path…

计算几何 · 计算机科学 2021-02-23 David Eppstein , Sariel Har-Peled , Anastasios Sidiropoulos

Numerous approximation algorithms for problems on unit disk graphs have been proposed in the literature, exhibiting a sharp trade-off between running times and approximation ratios. We introduce a variation of the known shifting strategy…

数据结构与算法 · 计算机科学 2016-11-08 Guilherme D. da Fonseca , Vinícius G. Pereira de Sá , Celina M. H. de Figueiredo

This paper is devoted to the two-opposite-facility location games with a penalty whose amount depends on the distance between the two facilities to be opened by an authority. The two facilities are "opposite" in that one is popular and the…

计算机科学与博弈论 · 计算机科学 2018-06-25 Xujin Chen , Xiaodong Hu , Xiaohua Jia , Minming Li , Zhongzheng Tang , Chenhao Wang

Modern LiDAR-SLAM (L-SLAM) systems have shown excellent results in large-scale, real-world scenarios. However, they commonly have a high latency due to the expensive data association and nonlinear optimization. This paper demonstrates that…

机器人学 · 计算机科学 2021-03-25 Jianhao Jiao , Yilong Zhu , Haoyang Ye , Huaiyang Huang , Peng Yun , Linxin Jiang , Lujia Wang , Ming Liu

For many popular graph metric sparsifiers, such as spanners, emulators, and preservers, simple and elegant greedy algorithms are known that achieve state-of-the-art or existentially optimal tradeoffs between size and quality. The goal of…

数据结构与算法 · 计算机科学 2026-04-28 Ben Bals , Joakim Blikstad , Greg Bodwin , Daniel Dadush , Sebastian Forster , Yasamin Nazari

The \emph{dynamic facility location problem} is a generalization of the classic facility location problem proposed by Eisenstat, Mathieu, and Schabanel to model the dynamics of evolving social/infrastructure networks. The generalization…

数据结构与算法 · 计算机科学 2014-11-18 Hyung-Chan An , Ashkan Norouzi-Fard , Ola Svensson

We study the Capacitated k-Median problem, for which all the known constant factor approximation algorithms violate either the number of facilities or the capacities. While the standard LP-relaxation can only be used for algorithms…

数据结构与算法 · 计算机科学 2015-11-25 Jarosław Byrka , Bartosz Rybicki , Sumedha Uniyal

We study the awake complexity of graph problems that belong to the class O-LOCAL, which includes a subset of problems solvable by sequential greedy algorithms, such as $(\Delta+1)$-coloring and maximal independent set. It is known from…

分布式、并行与集群计算 · 计算机科学 2024-11-26 Alkida Balliu , Pierre Fraigniaud , Dennis Olivetti , Mikaël Rabie

We study different restricted variations of the obnoxious facility location problem on a plane. The first is the constrained obnoxious facility location on a line segment (COFL-Line) problem. We provide an efficient algorithm for this…

数据结构与算法 · 计算机科学 2022-10-14 Bowei Zhang