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We develop a new approach for online network design and obtain improved competitive ratios for several problems. Our approach gives natural deterministic algorithms and simple analyses. At the heart of our work is a novel application of…

数据结构与算法 · 计算机科学 2014-10-17 Seeun Umboh

We study the problem of online unweighted bipartite matching with $n$ offline vertices and $n$ online vertices where one wishes to be competitive against the optimal offline algorithm. While the classic RANKING algorithm of Karp et al.…

机器学习 · 计算机科学 2024-05-24 Davin Choo , Themis Gouleakis , Chun Kai Ling , Arnab Bhattacharyya

Motivated by demand-responsive parking pricing systems, we consider posted-price algorithms for the online metric matching problem. We give an $O(\log n)$-competitive posted-price randomized algorithm in the case that the metric space is a…

数据结构与算法 · 计算机科学 2023-10-20 Stephen Arndt , Josh Ascher , Kirk Pruhs

We study the online bipartite matching problem, introduced by Karp, Vazirani and Vazirani [1990]. For bipartite graphs with matchings of size $n$, it is known that the Ranking randomized algorithm matches at least $(1 - \frac{1}{e})n$ edges…

数据结构与算法 · 计算机科学 2019-01-01 Uriel Feige

We consider the online $k$-taxi problem, a generalization of the $k$-server problem, in which $k$ taxis serve a sequence of requests in a metric space. A request consists of two points $s$ and $t$, representing a passenger that wants to be…

数据结构与算法 · 计算机科学 2018-11-07 Christian Coester , Elias Koutsoupias

We study the problem of chasing convex bodies online: given a sequence of convex bodies $K_t\subseteq \mathbb{R}^d$ the algorithm must respond with points $x_t\in K_t$ in an online fashion (i.e., $x_t$ is chosen before $K_{t+1}$ is…

数据结构与算法 · 计算机科学 2020-01-08 C. J. Argue , Anupam Gupta , Guru Guruganesh , Ziye Tang

Information-centric networking extensively uses universal in-network caching. However, developing an efficient and fair collaborative caching algorithm for selfish caches is still an open question. In addition, the communication overhead…

网络与互联网体系结构 · 计算机科学 2017-05-03 Liang Wang , Gareth Tyson , Jussi Kangasharju , Jon Crowcroft

Online matching and its variants are some of the most fundamental problems in the online algorithms literature. In this paper, we study the online weighted bipartite matching problem. Karp et al. (STOC 1990) gave an elegant algorithm in the…

数据结构与算法 · 计算机科学 2019-11-22 Matthew Fahrbach , Morteza Zadimoghaddam

The advice complexity of an online problem is a measure of how much knowledge of the future an online algorithm needs in order to achieve a certain competitive ratio. Using advice complexity, we define the first online complexity class,…

数据结构与算法 · 计算机科学 2016-05-26 Joan Boyar , Lene M. Favrholdt , Christian Kudahl , Jesper W. Mikkelsen

In this paper, we propose an online-matching-based model to study the assignment problems arising in a wide range of online-matching markets, including online recommendations, ride-hailing platforms, and crowdsourcing markets. It features…

计算机科学与博弈论 · 计算机科学 2022-09-19 Pan Xu

We present a unified framework for designing and analyzing algorithms for online budgeted allocation problems (including online matching) and their generalization, the Online Generalized Assignment Problem (OnGAP). These problems have been…

数据结构与算法 · 计算机科学 2013-08-27 Rad Niazadeh , Robert D. Kleinberg

This article presents a simplification of Zadimoghaddam's algorithm for the edge-weighted online bipartite matching problem, under the online primal dual framework. In doing so, we obtain an improved competitive ratio of $0.514$. We first…

数据结构与算法 · 计算机科学 2019-10-09 Zhiyi Huang

We introduce the dueling teams problem, a new online-learning setting in which the learner observes noisy comparisons of disjoint pairs of $k$-sized teams from a universe of $n$ players. The goal of the learner is to minimize the number of…

机器学习 · 计算机科学 2021-07-07 Lee Cohen , Ulrike Schmidt-Kraepelin , Yishay Mansour

We consider the following fundamental routing problem. An adversary inputs packets arbitrarily at sources, each packet with an arbitrary destination. Traffic is constrained by link capacities and buffer sizes, and packets may be dropped at…

数据结构与算法 · 计算机科学 2015-01-27 Guy Even , Moti Medina , Boaz Patt-Shamir

In the setting of online algorithms, the input is initially not present but rather arrive one-by-one over time and after each input, the algorithm has to make a decision. Depending on the formulation of the problem, the algorithm might be…

数据结构与算法 · 计算机科学 2020-01-10 Mustafa Safa Ozdayi

Huang et al.~(STOC 2018) introduced the fully online matching problem, a generalization of the classic online bipartite matching problem in that it allows all vertices to arrive online and considers general graphs. They showed that the…

数据结构与算法 · 计算机科学 2018-10-19 Zhiyi Huang , Binghui Peng , Zhihao Gavin Tang , Runzhou Tao , Xiaowei Wu , Yuhao Zhang

We study \emph{parallel} online algorithms: For some fixed integer $k$, a collective of $k$ parallel processes that perform online decisions on the same sequence of events forms a $k$-\emph{copy algorithm}. For any given time and input…

数据结构与算法 · 计算机科学 2019-10-09 Sándor P. Fekete , Jonas Grosse-Holz , Phillip Keldenich , Arne Schmidt

We exhibit an $O((\log k)^6)$-competitive randomized algorithm for the $k$-server problem on any metric space. It is shown that a potential-based algorithm for the fractional $k$-server problem on hierarchically separated trees (HSTs) with…

数据结构与算法 · 计算机科学 2021-07-30 James R. Lee

The online algorithm design was proposed to handle the caching problem when the future information is unknown. And currently, it draws more and more attentions from the researchers from the areas of microgrid, where the production of…

其他计算机科学 · 计算机科学 2015-04-22 Ying Zhang

In this paper we present a deterministic parallel algorithm solving the multiple selection problem in congested clique model. In this problem for given set of elements S and a set of ranks $K = \{k_1 , k_2 , ..., k_r \}$ we are asking for…

分布式、并行与集群计算 · 计算机科学 2016-11-21 Krzysztof Nowicki