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Related papers: Online Min-Max Paging

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We consider a generalization of the standard cache problem called file-bundle caching, where different queries (tasks), each containing $l\ge 1$ files, sequentially arrive. An online algorithm that does not know the sequence of queries…

Data Structures and Algorithms · Computer Science 2020-11-09 Tiancheng Qin , S. Rasoul Etesami

The performance of many large-scale and data-intensive distributed systems critically depends on the capacity of the interconnecting network. This paper is motivated by the vision of self-adjusting infrastructures whose resources can be…

Data Structures and Algorithms · Computer Science 2023-04-21 Harald Räcke , Stefan Schmid , Ruslan Zabrodin

We consider fractional online covering problems with $\ell_q$-norm objectives. The problem of interest is of the form $\min\{ f(x) \,:\, Ax\ge 1, x\ge 0\}$ where $f(x)=\sum_{e} c_e \|x(S_e)\|_{q_e} $ is the weighted sum of $\ell_q$-norms…

Data Structures and Algorithms · Computer Science 2017-05-10 Viswanath Nagarajan , Xiangkun Shen

Ports, warehouses and courier services have to decide online how an arriving task is to be served in order that cost is minimized (or profit maximized). These operators have a wealth of historical data on task assignments; can these data be…

Data Structures and Algorithms · Computer Science 2007-05-23 Jason W. H. Lee , Y. C. Tay , Anthony K. H. Tung

We present deterministic and randomized algorithms for the problem of online packet routing in grids in the competitive network throughput model \cite{AKOR}. In this model the network has nodes with bounded buffers and bounded link…

Data Structures and Algorithms · Computer Science 2014-09-02 Guy Even , Moti Medina

Resource allocation in distributed and networked systems such as the Cloud is becoming increasingly flexible, allowing these systems to dynamically adjust toward the workloads they serve, in a demand-aware manner. Online balanced…

Data Structures and Algorithms · Computer Science 2024-10-24 Harald Räcke , Stefan Schmid , Ruslan Zabrodin

We consider the problem of computing a maximal matching with a distributed algorithm in the presence of batch-dynamic changes to the graph topology. We assume that a graph of $n$ nodes is vertex-partitioned among $k$ players that…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-01-30 Minming Li , Peter Robinson , Xianbin Zhu

The online bisection problem is a natural dynamic variant of the classic optimization problem, where one has to dynamically maintain a partition of $n$ elements into two clusters of cardinality $n/2$. During runtime, an online algorithm is…

Data Structures and Algorithms · Computer Science 2024-03-19 Marcin Bienkowski , Stefan Schmid

Traditional online algorithms encapsulate decision making under uncertainty, and give ways to hedge against all possible future events, while guaranteeing a nearly optimal solution as compared to an offline optimum. On the other hand,…

Data Structures and Algorithms · Computer Science 2020-08-24 Thodoris Lykouris , Sergei Vassilvitskii

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

The high proportions of demand charges in electric bills motivate large-power customers to leverage energy storage for reducing the peak procurement from the outer grid. Given limited energy storage, we expect to maximize the peak-demand…

Systems and Control · Electrical Eng. & Systems 2021-08-25 Yanfang Mo , Qiulin Lin , Minghua Chen , Si-Zhao Joe Qin

In the Markov paging model, one assumes that page requests are drawn from a Markov chain over the pages in memory, and the goal is to maintain a fast cache that suffers few page faults in expectation. While computing the optimal online…

Data Structures and Algorithms · Computer Science 2026-05-26 Chirag Pabbaraju , Ali Vakilian

We give a simple deterministic $O(\log K / \log\log K)$ approximation algorithm for the Min-Max Selecting Items problem, where $K$ is the number of scenarios. While our main goal is simplicity, this result also improves over the previous…

Data Structures and Algorithms · Computer Science 2013-04-30 Benjamin Doerr

We consider a natural semi-online model for weighted paging, where at any time the algorithm is given predictions, possibly with errors, about the next arrival of each page. The model is inspired by Belady's classic optimal offline…

Data Structures and Algorithms · Computer Science 2021-11-10 Nikhil Bansal , Christian Coester , Ravi Kumar , Manish Purohit , Erik Vee

We consider the setting of online computation with advice, and study the bin packing problem and a number of scheduling problems. We show that it is possible, for any of these problems, to arbitrarily approach a competitive ratio of $1$…

Data Structures and Algorithms · Computer Science 2015-08-06 Marc P. Renault , Adi Rosén , Rob van Stee

Mobile edge computing (MEC) emerges as a promising solution for servicing delay-sensitive tasks at the edge network. A body of recent literature started to focus on cost-efficient service placement and request scheduling. This work…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-08-27 Lina Su , Ne Wang , Ruiting Zhou , Zongpeng Li

We study Online Convex Optimization (OCO) with adversarial constraints, where an online algorithm must make sequential decisions to minimize both convex loss functions and cumulative constraint violations. We focus on a setting where the…

Machine Learning · Statistics 2025-03-14 Jordan Lekeufack , Michael I. Jordan

The weighted $k$-server is a variant of the $k$-server problem, where the cost of moving a server is the server's weight times the distance through which it moves. The problem is famous for its intriguing properties and for evading standard…

Data Structures and Algorithms · Computer Science 2025-10-28 Adithya Bijoy , Ankit Mondal , Ashish Chiplunkar

Motivated by Internet targeted advertising, we address several ad allocation problems. Prior work has established these problems admit no randomized online algorithm better than $(1-\frac{1}{e})$-competitive…

Data Structures and Algorithms · Computer Science 2015-04-30 Joseph , Naor , David Wajc

We consider online fractional covering problems with a convex objective, where the covering constraints arrive over time. Formally, we want to solve $\min\,\{f(x) \mid Ax\ge \mathbf{1},\, x\ge 0\},$ where the objective function…

Data Structures and Algorithms · Computer Science 2014-12-30 Niv Buchbinder , Shahar Chen , Anupam Gupta , Viswanath Nagarajan , Joseph , Naor