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In the online facility assignment on a line ${\rm OFAL}(S,c)$ with a set $S$ of $k$ servers and a capacity $c:S\to\mathbb{N}$, each server $s\in S$ with a capacity $c(s)$ is placed on a line, and a request arrives on a line one-by-one. The…

Data Structures and Algorithms · Computer Science 2023-08-14 Tsubasa Harada , Toshiya Itoh

This paper combines two key ingredients for online algorithms - competitive analysis (e.g. the competitive ratio) and advice complexity (e.g. the number of advice bits needed to improve online decisions) - in the context of a simple online…

Computer Science and Game Theory · Computer Science 2020-06-30 Martin Aleksandrov , Toby Walsh

We investigate the problem of heterogeneous task assignment in crowdsourcing markets from the point of view of the requester, who has a collection of tasks. Workers arrive online one by one, and each declare a set of feasible tasks they can…

Data Structures and Algorithms · Computer Science 2015-08-17 Sepehr Assadi , Justin Hsu , Shahin Jabbari

In this study, we investigated several online and semi-online scheduling problems on two hierarchical machines with a common due date to maximize the total early work. For the pure online case, we designed an optimal online algorithm with a…

Data Structures and Algorithms · Computer Science 2022-09-20 Man Xiao , Xiaoqiao Liu , Weidong Li , Xin Chen , Malgorzata Sterna , Jacek Blazewicz

We consider one of the simplest and best known buffer management architectures: the shared memory switch with multiple output queues and uniform packets. It was one of the first models studied by competitive analysis, with the Longest Queue…

Networking and Internet Architecture · Computer Science 2019-07-11 Ivan Bochkov , Alex Davydow , Nikita Gaevoy , Sergey I. Nikolenko

Most recent papers addressing the algorithmic problem of allocating advertisement space for keywords in sponsored search auctions assume that pricing is done via a first-price auction, which does not realistically model the Generalized…

Data Structures and Algorithms · Computer Science 2009-08-21 Yossi Azar , Benjamin Birnbaum , Anna R. Karlin , C. Thach Nguyen

Considering that a trader or a trading algorithm interacting with markets during continuous auctions can be modeled by an iterating procedure adjusting the price at which he posts orders at a given rhythm, this paper proposes a procedure…

Trading and Market Microstructure · Quantitative Finance 2012-09-12 Sophie Laruelle , Charles-Albert Lehalle , Gilles Pagès

In this paper, we consider the online problem of scheduling independent jobs \emph{non-preemptively} so as to minimize the weighted flow-time on a set of unrelated machines. There has been a considerable amount of work on this problem in…

Data Structures and Algorithms · Computer Science 2018-04-24 Giorgio Lucarelli , Benjamin Moseley , Nguyen Kim Thang , Abhinav Srivastav , Denis Trystram

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…

Data Structures and Algorithms · Computer Science 2013-05-09 Yajun Wang , Sam Chiu-wai Wong

We consider the problem of online dynamic power management that provides hard real-time guarantees. In this problem, each of the given jobs is associated with an arrival time, a deadline, and an execution time, and the objective is to…

Data Structures and Algorithms · Computer Science 2013-04-09 Jian-Jia Chen , Mong-Jen Kao , D. T. Lee , Ignaz Rutter , Dorothea Wagner

This paper studies an online selection problem, where a seller seeks to sequentially sell multiple copies of an item to arriving buyers. We consider an adversarial setting, making no modeling assumptions about buyers' valuations for the…

Computer Science and Game Theory · Computer Science 2024-10-11 Bo Sun , Hossein Nekouyan Jazi , Xiaoqi Tan , Raouf Boutaba

We consider several previously studied online variants of bin packing and prove new and improved lower bounds on the asymptotic competitive ratios for them. For that, we use a method of fully adaptive constructions. In particular, we…

Data Structures and Algorithms · Computer Science 2017-08-11 János Balogh , József Békési , György Dósa , Leah Epstein , Asaf Levin

Computing lower and upper bounds on the competitive ratio of online algorithms is a challenging question: For a minimization combinatorial problem, proving a competitive ratio for a given algorithm leads to an upper bound. However computing…

Computer Science and Game Theory · Computer Science 2022-12-19 Antoine Lhomme , Olivier Romane , Nicolas Catusse , Nadia Brauner

We prove that no online algorithm (even randomized, against an oblivious adversary) is better than 1/2-competitive for welfare maximization with coverage valuations, unless $NP = RP$. Since the Greedy algorithm is known to be…

Data Structures and Algorithms · Computer Science 2013-01-31 Michael Kapralov , Ian Post , Jan Vondrak

Online models that allow recourse are highly effective in situations where classical models are too pessimistic. One such problem is the online machine covering problem on identical machines. In this setting, jobs arrive one by one and must…

Data Structures and Algorithms · Computer Science 2018-08-29 Waldo Gálvez , José A. Soto , José Verschae

We study online optimization in a setting where an online learner seeks to optimize a per-round hitting cost, which may be non-convex, while incurring a movement cost when changing actions between rounds. We ask: \textit{under what general…

Machine Learning · Computer Science 2020-01-27 Yiheng Lin , Gautam Goel , Adam Wierman

In the online Steiner tree problem, a sequence of points is revealed one-by-one: when a point arrives, we only have time to add a single edge connecting this point to the previous ones, and we want to minimize the total length of edges…

Data Structures and Algorithms · Computer Science 2013-10-23 Albert Gu , Anupam Gupta , Amit Kumar

We study an online classification problem with partial feedback in which individuals arrive one at a time from a fixed but unknown distribution, and must be classified as positive or negative. Our algorithm only observes the true label of…

Machine Learning · Computer Science 2020-04-17 Yahav Bechavod , Katrina Ligett , Aaron Roth , Bo Waggoner , Zhiwei Steven Wu

Cloud computing as a fairly new commercial paradigm, widely investigated by different researchers, already has a great range of challenges. Pricing is a major problem in Cloud computing marketplace; as providers are competing to attract…

Computer Science and Game Theory · Computer Science 2023-09-21 S. Ghasemi , M. R. Meybodi , M. Dehghan , A. M. Rahmani

We study the online facility location problem with uniform facility costs in the random-order model. Meyerson's algorithm [FOCS'01] is arguably the most natural and simple online algorithm for the problem with several advantages and…

Data Structures and Algorithms · Computer Science 2022-11-11 Haim Kaplan , David Naori , Danny Raz