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This paper studies the online scheduling problem of minimizing total flow time for $n$ jobs on $m$ identical machines. A classical $\Omega(n)$ lower bound shows that no deterministic single-machine algorithm can beat the trivial greedy,…

数据结构与算法 · 计算机科学 2026-04-02 Yutong Geng , Enze Sun , Zonghan Yang , Yuhao Zhang

In this paper, we explicitly study the online vertex cover problem, which is a natural generalization of the well-studied ski-rental problem. In the online vertex cover problem, we are required to maintain a monotone vertex cover in a graph…

数据结构与算法 · 计算机科学 2013-05-09 Yajun Wang , Sam Chiu-wai Wong

We consider a variant of the online caching problem where the items exhibit dependencies among each other: an item can reside in the cache only if all its dependent items are also in the cache. The dependency relations can form any directed…

数据结构与算法 · 计算机科学 2024-01-31 Julien Dallot , Amirmehdi Jafari Fesharaki , Maciej Pacut , Stefan Schmid

We study the online minimum cost bipartite perfect matching with delays problem. In this problem, $m$ servers and $m$ requests arrive over time, and an online algorithm can delay the matching between servers and requests by paying the delay…

数据结构与算法 · 计算机科学 2024-08-06 Tung-Wei Kuo

We consider the set multi-cover problem in geometric settings. Given a set of points P and a collection of geometric shapes (or sets) F, we wish to find a minimum cardinality subset of F such that each point p in P is covered by (contained…

计算几何 · 计算机科学 2009-09-04 Chandra Chekuri , Kenneth L. Clarkson , Sariel Har-Peled

This paper presents a new research direction for the Min-cost Perfect Matching with Delays (MPMD) - a problem introduced by Emek et al. (STOC'16). In the original version of this problem, we are given an $n$-point metric space, where…

数据结构与算法 · 计算机科学 2025-01-07 Mathieu Mari , Michał Pawłowski , Runtian Ren , Piotr Sankowski

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 study the online clustering problem where data items arrive in an online fashion. The algorithm maintains a clustering of data items into similarity classes. Upon arrival of v, the relation between v and previously arrived items is…

数据结构与算法 · 计算机科学 2010-02-03 Claire Mathieu , Ocan Sankur , Warren Schudy

We present a sorting algorithm for the case of recurrent random comparison errors. The algorithm essentially achieves simultaneously good properties of previous algorithms for sorting $n$ distinct elements in this model. In particular, it…

数据结构与算法 · 计算机科学 2017-09-22 Barbara Geissmann , Stefano Leucci , Chih-Hung Liu , Paolo Penna

Learning-augmented algorithms have emerged as a powerful paradigm to surpass traditional worst-case lower bounds by integrating potentially noisy predictions. While this framework has seen success in online scheduling, existing work…

机器学习 · 计算机科学 2026-05-25 Mugen Blue , Sungjin Im , Alexander Lindermayr

We present a deterministic algorithm that given a tree T with n vertices, a starting vertex v and a slackness parameter epsilon > 0, estimates within an additive error of epsilon the cover and return time, namely, the expected time it takes…

数据结构与算法 · 计算机科学 2009-09-11 Uriel Feige , Ofer Zeitouni

We study the classic set cover problem in the streaming model: the sets that comprise the instance are revealed one by one in a stream and the goal is to solve the problem by making one or few passes over the stream while maintaining a…

数据结构与算法 · 计算机科学 2017-03-07 Sepehr Assadi

In the online metric matching problem, $n$ servers and $n$ requests lie in a metric space. Servers are available upfront, and requests arrive sequentially. An arriving request must be matched immediately and irrevocably to an available…

数据结构与算法 · 计算机科学 2026-04-22 Yingxi Li , Ellen Vitercik , Mingwei Yang

The bounded delay buffer management problem, which was proposed by Kesselman et~al.\ (STOC 2001 and SIAM Journal on Computing 33(3), 2004), is an online problem focusing on buffer management of a switch supporting Quality of Service (QoS).…

数据结构与算法 · 计算机科学 2018-07-03 Koji M. Kobayashi

The bin covering problem asks for covering a maximum number of bins with an online sequence of $n$ items of different sizes in the range $(0,1]$; a bin is said to be covered if it receives items of total size at least 1. We study this…

数据结构与算法 · 计算机科学 2020-06-03 Joan Boyar , Lene M. Favrholdt , Shahin Kamali , Kim S. Larsen

The dispersion problem has been widely studied in computational geometry and facility location, and is closely related to the packing problem. The goal is to locate n points (e.g., facilities or persons) in a k-dimensional polytope, so that…

计算几何 · 计算机科学 2017-04-25 Jing Chen , Bo Li , Yingkai Li

Broadcasting is known to be an efficient means of disseminating data in wireless communication environments (such as Satellite, mobile phone networks,...). It has been recently observed that the average service time of broadcast systems can…

数据结构与算法 · 计算机科学 2007-05-23 Julien Robert , Nicolas Schabanel

We study an online hypergraph matching problem with delays, motivated by ridesharing applications. In this model, users enter a marketplace sequentially, and are willing to wait up to $d$ timesteps to be matched, after which they will leave…

数据结构与算法 · 计算机科学 2020-09-28 Marco Pavone , Amin Saberi , Maximilian Schiffer , Matthew Tsao

We consider the online resource minimization problem in which jobs with hard deadlines arrive online over time at their release dates. The task is to determine a feasible schedule on a minimum number of machines. We rigorously study this…

数据结构与算法 · 计算机科学 2015-12-09 Lin Chen , Nicole Megow , Kevin Schewior

Online learning algorithms have impressive convergence properties when it comes to risk minimization and convex games on very large problems. However, they are inherently sequential in their design which prevents them from taking advantage…

最优化与控制 · 数学 2009-11-04 John Langford , Alexander Smola , Martin Zinkevich