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We study the smoothness of paging algorithms. How much can the number of page faults increase due to a perturbation of the request sequence? We call a paging algorithm smooth if the maximal increase in page faults is proportional to the…

数据结构与算法 · 计算机科学 2015-10-13 Jan Reineke , Alejandro Salinger

Motivated by fairness requirements in communication networks, we introduce a natural variant of the online paging problem, called \textit{min-max} paging, where the objective is to minimize the maximum number of faults on any page. While…

数据结构与算法 · 计算机科学 2022-12-07 Ashish Chiplunkar , Monika Henzinger , Sagar Sudhir Kale , Maximilian Vötsch

This paper has two results. The first is based on the surprising observation that the well-known ``least-recently-used'' paging algorithm and the ``balance'' algorithm for weighted caching are linear-programming primal-dual algorithms. This…

数据结构与算法 · 计算机科学 2015-06-02 Neal E. Young

The paging problem is that of deciding which pages to keep in a memory of k pages in order to minimize the number of page faults. This paper introduces the marking algorithm, a simple randomized on-line algorithm for the paging problem, and…

数据结构与算法 · 计算机科学 2015-06-02 Amos Fiat , Richard Karp , Mike Luby , Lyle McGeoch , Daniel Sleator , Neal E. Young

This paper presents a comprehensive comparison of distributed caching algorithms employed in modern distributed systems. We evaluate various caching strategies including Least Recently Used (LRU), Least Frequently Used (LFU), Adaptive…

分布式、并行与集群计算 · 计算机科学 2025-04-04 Helen Mayer , James Richards

We study the on-line minimum weighted bipartite matching problem in arbitrary metric spaces. Here, $n$ not necessary disjoint points of a metric space $M$ are given, and are to be matched on-line with $n$ points of $M$ revealed one by one.…

数据结构与算法 · 计算机科学 2007-06-06 Béla Csaba , András S. Pluhár

In 2005 Li et al. gave a phi-competitive deterministic online algorithm for scheduling of packets with agreeable deadlines with a very interesting analysis. This is known to be optimal due to a lower bound by Hajek. We claim that the…

数据结构与算法 · 计算机科学 2010-02-03 Łukasz Jeż

Paging is a prototypical problem in the area of online algorithms. It has also played a central role in the development of learning-augmented algorithms -- a recent line of research that aims to ameliorate the shortcomings of classical…

We present a new approach, called a lazy matching, to the problem of on-line matching on bipartite graphs. Imagine that one side of a graph is given and the vertices of the other side are arriving on-line. Originally, incoming vertex is…

数据结构与算法 · 计算机科学 2018-05-21 Jakub Kozik , Grzegorz Matecki

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

Online bipartite matching is a classical problem in online algorithms and we know that both the deterministic fractional and randomized integral online matchings achieve the same competitive ratio of $1-\frac{1}{e}$. In this work, we study…

数据结构与算法 · 计算机科学 2025-11-21 Amey Bhangale , Arghya Chakraborty , Prahladh Harsha

We study a generalization of the classic paging problem that allows the amount of available memory to vary over time - capturing a fundamental property of many modern computing realities, from cloud computing to multi-core and…

数据结构与算法 · 计算机科学 2013-04-23 Enoch Peserico

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…

数据结构与算法 · 计算机科学 2015-04-30 Joseph , Naor , David Wajc

We study the relationship between the competitive ratio and the tail distribution of randomized online minimization problems. To this end, we define a broad class of online problems that includes some of the well-studied problems like…

数据结构与算法 · 计算机科学 2013-02-15 Dennis Komm , Rastislav Královič , Richard Královič , Tobias Mömke

The advent of Machine-to-Machine communication has sparked a new wave of interest to random access protocols, especially in application to LTE Random Access (RA). By analogy with classical slotted ALOHA, state-of-the-art models LTE RA as a…

信息论 · 计算机科学 2018-12-19 Mikhail Vilgelm , Sergio Rueda Linares , Wolfgang Kellerer

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…

数据结构与算法 · 计算机科学 2021-11-10 Nikhil Bansal , Christian Coester , Ravi Kumar , Manish Purohit , Erik Vee

We consider online algorithms under both the competitive ratio criteria and the regret minimization one. Our main goal is to build a unified methodology that would be able to guarantee both criteria simultaneously. For a general class of…

机器学习 · 计算机科学 2019-04-09 Amit Daniely , Yishay Mansour

We consider an online version of the well-studied network utility maximization problem, where users arrive one by one and an operator makes irrevocable decisions for each user without knowing the details of future arrivals. We propose a…

数据结构与算法 · 计算机科学 2021-01-27 Ying Cao , Bo Sun , Danny H. K. Tsang

In a 1989 paper titled "shortest paths without a map", Papadimitriou and Yannakakis introduced an online model of searching in a weighted layered graph for a target node, while attempting to minimize the total length of the path traversed…

数据结构与算法 · 计算机科学 2024-12-17 Sébastien Bubeck , Christian Coester , Yuval Rabani

In the online metric bipartite matching problem, we are given a set $S$ of server locations in a metric space. Requests arrive one at a time, and on its arrival, we need to immediately and irrevocably match it to a server at a cost which is…

计算几何 · 计算机科学 2018-03-21 Sharath Raghvendra
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