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相关论文: Competitive Analysis for Two Variants of Online Me…

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We consider the problem of online allocation (matching, budgeted allocations, and assortments) of reusable resources where an adversarial sequence of resource requests is revealed over time and any allocated resource is used/rented for a…

数据结构与算法 · 计算机科学 2024-09-17 Vineet Goyal , Garud Iyengar , Rajan Udwani

In the open online dial-a-ride problem, a single server has to deliver transportation requests appearing over time in some metric space, subject to minimizing the completion time. We improve on the best known upper bounds on the competitive…

数据结构与算法 · 计算机科学 2023-05-23 Julia Baligacs , Yann Disser , Farehe Soheil , David Weckbecker

We consider the classical online scheduling problem P||C_{max} in which jobs are released over list and provide a nearly optimal online algorithm. More precisely, an online algorithm whose competitive ratio is at most (1+\epsilon) times…

数据结构与算法 · 计算机科学 2013-02-19 Lin Chen , Deshi Ye , Guochuan Zhang

We consider the matching problem on the line with advice complexity. We give a 1-competitive online algorithm with advice complexity $n-1,$ and show that there is no 1-competitive online algorithm reading less than $n-1$ bits of advice.…

数据结构与算法 · 计算机科学 2024-12-11 Béla Csaba , Judit Nagy-György

Online bipartite matching and its variants are among the most fundamental problems in the online algorithms literature. Karp, Vazirani, and Vazirani (STOC 1990) introduced an elegant algorithm for the unweighted problem that achieves an…

数据结构与算法 · 计算机科学 2024-06-05 Matthew Fahrbach , Zhiyi Huang , Runzhou Tao , Morteza Zadimoghaddam

We improve the best known competitive ratio (from 1/4 to 1/2), for the online multi-unit allocation problem, where the objective is to maximize the single-price revenue. Moreover, the competitive ratio of our algorithm tends to 1, as the…

计算机科学与博弈论 · 计算机科学 2009-01-13 Sourav Chakraborty , Nikhil Devanur

We revisit the online bipartite matching problem on $d$-regular graphs, for which Cohen and Wajc (SODA 2018) proposed an algorithm with a competitive ratio of $1-2\sqrt{H_d/d} = 1-O(\sqrt{(\log d)/d})$ and showed that it is asymptotically…

数据结构与算法 · 计算机科学 2025-10-02 Yilong Feng , Haolong Li , Xiaowei Wu , Shengwei Zhou

In online minimum cost matching on the line, $n$ requests appear one by one and have to be matched immediately and irrevocably to a given set of servers, all on the real line. The goal is to minimize the sum of distances from the requests…

数据结构与算法 · 计算机科学 2020-01-10 Nicole Megow , Lukas Nölke

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

In this paper we study the mincut problem in the online setting. We consider two distinct models: A) competitive analysis and B) regret analysis. In the competitive setting we consider the vertex arrival model; whenever a new vertex arrives…

数据结构与算法 · 计算机科学 2020-08-17 Avah Banerjee , Guoli Ding

In this paper we consider several related online computation problems. First, we study answering sequences of statistical queries arriving online, and being answered immediately when they arrive with differential privacy. Known matrix…

数据结构与算法 · 计算机科学 2026-05-12 Aleksandar Nikolov , Haohua Tang , Jonathan Ullman

This paper studies an online cost optimization problem for distributed storage and access. The goal is to dynamically create and delete copies of data objects over time at geo-distributed servers to serve access requests and minimize the…

数据结构与算法 · 计算机科学 2025-10-29 Tianyu Zuo , Xueyan Tang , Bu Sung Lee , Jianfei Cai

We investigate online scheduling with commitment for parallel identical machines. Our objective is to maximize the total processing time of accepted jobs. As soon as a job has been submitted, the commitment constraint forces us to decide…

数据结构与算法 · 计算机科学 2019-04-15 Chris Schwiegelshohn , Uwe Schwiegelshohn

In this paper, we introduce the problem of Online Matching with Delays and Size-based Costs (OMDSC). The OMDSC problem involves $m$ requests arriving online. At any time, a group can be formed by matching any number of these requests that…

数据结构与算法 · 计算机科学 2024-08-19 Yasushi Kawase , Tomohiro Nakayoshi

In this paper, we study $k$-Way Min-cost Perfect Matching with Delays - the $k$-MPMD problem. This problem considers a metric space with $n$ nodes. Requests arrive at these nodes in an online fashion. The task is to match these requests…

数据结构与算法 · 计算机科学 2021-09-15 Darya Melnyk , Yuyi Wang , Roger Wattenhofer

We give a very general and simple framework to incorporate predictions on requests for online covering problems in a rigorous and black-box manner. Our framework turns any online algorithm with competitive ratio $\rho(k, \cdot)$ depending…

数据结构与算法 · 计算机科学 2025-07-09 Afrouz Jabal Ameli , Laura Sanita , Moritz Venzin

We give the first polylogarithmic-competitive randomized online algorithm for the $k$-server problem on an arbitrary finite metric space. In particular, our algorithm achieves a competitive ratio of O(log^3 n log^2 k log log n) for any…

数据结构与算法 · 计算机科学 2011-10-10 Nikhil Bansal , Niv Buchbinder , Aleksander Madry , Joseph , Naor

When designing a preemptive online algorithm for the maximum matching problem, we wish to maintain a valid matching M while edges of the underlying graph are presented one after the other. When presented with an edge e, the algorithm should…

数据结构与算法 · 计算机科学 2015-03-20 Leah Epstein , Asaf Levin , Danny Segev , Oren Weimann

The online search problem is a fundamental problem in finance. The numerous direct applications include searching for optimal prices for commodity trading and trading foreign currencies. In this paper, we analyze the advice complexity of…

数据结构与算法 · 计算机科学 2017-01-10 Jhoirene Clemente , Juraj Hromkovic , Dennis Komm , Christian Kudahl

The online weighted matching problem is a fundamental problem in machine learning due to its numerous applications. Despite many efforts in this area, existing algorithms are either too slow or don't take $\mathrm{deadline}$ (the longest…

数据结构与算法 · 计算机科学 2025-02-19 Zhao Song , Weixin Wang , Chenbo Yin , Junze Yin