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The work here studies the communication cost for a multi-server multi-task distributed computation framework, and does so for a broad class of functions and data statistics. Considering the framework where a user seeks the computation of…

信息论 · 计算机科学 2024-05-15 Derya Malak , Mohammad Reza Deylam Salehi , Berksan Serbetci , Petros Elia

The $k$-Median problem is one of the well-known optimization problems that formalize the task of data clustering. Here, we are given sets of facilities $F$ and clients $C$, and the goal is to open $k$ facilities from the set $F$, which…

数据结构与算法 · 计算机科学 2020-11-17 Jarosław Byrka , Szymon Dudycz , Pasin Manurangsi , Jan Marcinkowski , Michał Włodarczyk

We analyze the so-called Shortest Queue First (SQF) queueing discipline whereby a unique server addresses queues in parallel by serving at any time that queue with the smallest workload. Considering a stationary system composed of two…

性能 · 计算机科学 2013-05-16 Fabrice Guillemin , Alain Simonian

Babaioff et al. [BIK2007] introduced the matroid secretary problem in 2007, a natural extension of the classic single-choice secretary problem to matroids, and conjectured that a constant-competitive online algorithm exists. The conjecture…

数据结构与算法 · 计算机科学 2021-11-09 Maryam Bahrani , Hedyeh Beyhaghi , Sahil Singla , S. Matthew Weinberg

We present a new online algorithm for profit-oriented scheduling on multiple speed-scalable processors. Moreover, we provide a tight analysis of the algorithm's competitiveness. Our results generalize and improve upon work by…

数据结构与算法 · 计算机科学 2012-09-19 Peter Kling , Peter Pietrzyk

Our work is devoted to the metric facility location problem and addresses the selfish behavior of the players. It contributes to the line of work initiated by Procaccia and Tennenholtz [EC09] on approximate mechanism design without money.…

计算机科学与博弈论 · 计算机科学 2012-02-10 Nick Gravin , Dominik Scheder

Local search is a widely used technique for tackling challenging optimization problems, offering simplicity and strong empirical performance across various problem domains. In this paper, we address the problem of scheduling a set of jobs…

数据结构与算法 · 计算机科学 2024-11-27 Lars Rohwedder , Ashkan Safari , Tjark Vredeveld

For many online problems, it is known that the uniform arrival order enables the design of algorithms with much better performance guarantees than under worst-case. The quintessential example is the secretary problem. If the sequence of…

数据结构与算法 · 计算机科学 2015-02-10 Thomas Kesselheim , Robert Kleinberg , Rad Niazadeh

Network calculus is a min-plus system theory for performance evaluation of queuing networks. Its elegance stems from intuitive convolution formulas for concatenation of deterministic servers. Recent research dispenses with the worst-case…

信息论 · 计算机科学 2009-09-29 Markus Fidler

We consider the classical $k$-means clustering problem in the setting bi-criteria approximation, in which an algoithm is allowed to output $\beta k > k$ clusters, and must produce a clustering with cost at most $\alpha$ times the to the…

数据结构与算法 · 计算机科学 2015-08-04 Konstantin Makarychev , Yury Makarychev , Maxim Sviridenko , Justin Ward

In this paper we study a dynamic resource allocation problem which we call the stochastic k-server problem. In this problem, requests for some service to be performed appear at various locations over time, and we have a collection of k…

最优化与控制 · 数学 2007-05-23 Randy Cogill , Sanjay Lall

In the last three decades, the $k$-SUM hypothesis has emerged as a satisfying explanation of long-standing time barriers for a variety of algorithmic problems. Yet to this day, the literature knows of only few proven consequences of a…

计算复杂性 · 计算机科学 2025-02-10 Geri Gokaj , Marvin Künnemann

We introduce the mobile server problem, inspired by current trends to move computational tasks from cloud structures to multiple devices close to the end user. An example for this are embedded systems in autonomous cars that communicate in…

数据结构与算法 · 计算机科学 2019-04-11 Björn Feldkord , Friedhelm Meyer auf der Heide

In collective tree exploration, a team of $k$ mobile agents is tasked to go through all edges of an unknown tree as fast as possible. An edge of the tree is revealed to the team when one agent becomes adjacent to that edge. The agents start…

数据结构与算法 · 计算机科学 2023-11-01 Romain Cosson

We consider a service system with an infinite number of exponential servers sharing a finite service capacity. The servers are ordered according to their speed, and arriving customers join the fastest idle server. A capacity allocation is…

概率论 · 数学 2018-08-23 Refael Hassin , Liron Ravner

The most well known and ubiquitous clustering problem encountered in nearly every branch of science is undoubtedly $k$-means: given a set of data points and a parameter $k$, select $k$ centres and partition the data points into $k$ clusters…

数据结构与算法 · 计算机科学 2017-01-11 Zachary Friggstad , Mohsen Rezapour , Mohammad R. Salavatipour

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

A satisfactory multiagent learning algorithm should, {\em at a minimum}, learn to play optimally against stationary opponents and converge to a Nash equilibrium in self-play. The algorithm that has come closest, WoLF-IGA, has been proven to…

计算机科学与博弈论 · 计算机科学 2009-09-29 Vincent Conitzer , Tuomas Sandholm

We investigate an optimal scheduling problem in a discrete-time system of L parallel queues that are served by K identical, randomly connected servers. Each queue may be connected to a subset of the K servers during any given time slot.…

信息论 · 计算机科学 2016-10-05 Hussein Al-Zubaidy , Ioannis Lambadaris , Yannis Viniotis

Motivated primarily by applications in cloud computing, we study a simple, yet powerful, online allocation problem in which jobs of varying durations arrive over continuous time and must be assigned immediately and irrevocably to one of the…

数据结构与算法 · 计算机科学 2025-06-10 Farbod Ekbatani , Yiding Feng , Ian Kash , Rad Niazadeh