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In the moldable job scheduling problem one has to assign a set of $n$ jobs to $m$ machines, in order to minimize the time it takes to process all jobs. Each job is moldable, so it can be assigned not only to one but any number of the equal…

数据结构与算法 · 计算机科学 2023-03-03 Kilian Grage , Klaus Jansen , Felix Ohnesorge

In this work, we study the classic submodular maximization problem under knapsack constraints and beyond. We first present an $(7/16-\varepsilon)$-approximate algorithm for single knapsack constraint, which requires…

数据结构与算法 · 计算机科学 2020-12-22 Wenxin Li

In this paper, we focus our attention on the large capacities unsplittable flow problem in a game theoretic setting. In this setting, there are selfish agents, which control some of the requests characteristics, and may be dishonest about…

数据结构与算法 · 计算机科学 2008-12-18 Yossi Azar , Iftah Gamzu , Shai Gutner

Apart from the principles and methodologies inherited from Economics and Game Theory, the studies in Algorithmic Mechanism Design typically employ the worst-case analysis and approximation schemes of Theoretical Computer Science. For…

计算机科学与博弈论 · 计算机科学 2017-12-15 Jie Zhang

In this work we introduce a new notion: local mechanisms. These are truthful mechanisms that have an implementation as fast distributed algorithms and non-trivial approximation guarantees. We show how monotone distributed optimisation…

分布式、并行与集群计算 · 计算机科学 2024-11-12 Juho Hirvonen , Sara Ranjbaran

We study the wireless scheduling problem in the SINR model. More specifically, given a set of $n$ links, each a sender-receiver pair, we wish to partition (or \emph{schedule}) the links into the minimum number of slots, each satisfying…

数据结构与算法 · 计算机科学 2014-05-02 Magnus M. Halldorsson , Pradipta Mitra

Due to the ubiquity of batch data processing in cloud computing, the related problem of scheduling malleable batch tasks and its extensions have received significant attention recently. In this paper, we consider a fundamental model where a…

分布式、并行与集群计算 · 计算机科学 2018-02-06 Xiaohu Wu , Patrick Loiseau

We study a truthful facility location problem where one out of $k\geq2$ available facilities must be built at a location chosen from a set of candidate ones in the interval $[0,1]$. This decision aims to accommodate a set of agents with…

计算机科学与博弈论 · 计算机科学 2025-05-07 Panagiotis Kanellopoulos , Alexandros A. Voudouris

We contribute the first randomized algorithm that is an integration of arbitrarily many deterministic algorithms for the fully online multiprocessor scheduling with testing problem. When there are two machines, we show that with two…

数据结构与算法 · 计算机科学 2023-06-29 Mingyang Gong , Zhi-Zhong Chen , Guohui Lin , Lusheng Wang

Scenario-based stochastic optimal control problems suffer from the curse of dimensionality as they can easily grow to six and seven figure sizes. First-order methods are suitable as they can deal with such large-scale problems, but may fail…

最优化与控制 · 数学 2021-07-06 Ajay K. Sampathirao , Panagiotis Patrinos , Alberto Bemporad , Pantelis Sopasakis

We improve on random sampling techniques for approximately solving problems that involve cuts and flows in graphs. We give a near-linear-time construction that transforms any graph on n vertices into an O(n\log n)-edge graph on the same…

数据结构与算法 · 计算机科学 2007-05-23 Andras Benczur , David R. Karger

We derive exact upper and lower bounds for the cumulative distribution function (cdf) of the output of a neural network (NN) over its entire support subject to noisy (stochastic) inputs. The upper and lower bounds converge to the true cdf…

机器学习 · 计算机科学 2025-06-11 Andrey Kofnov , Daniel Kapla , Ezio Bartocci , Efstathia Bura

We consider the problem of efficiently scheduling jobs with precedence constraints on a set of identical machines in the presence of a uniform communication delay. Such precedence-constrained jobs can be modeled as a directed acyclic graph,…

数据结构与算法 · 计算机科学 2022-02-01 Quanquan C. Liu , Manish Purohit , Zoya Svitkina , Erik Vee , Joshua R. Wang

In this paper, we consider robust control using randomized algorithms. We extend the existing order statistics distribution theory to the general case in which the distribution of population is not assumed to be continuous and the order…

最优化与控制 · 数学 2008-05-13 Xinjia Chen , Kemin Zhou

An effective technique for solving optimization problems over massive data sets is to partition the data into smaller pieces, solve the problem on each piece and compute a representative solution from it, and finally obtain a solution…

数据结构与算法 · 计算机科学 2015-06-23 Vahab Mirrokni , Morteza Zadimoghaddam

Consider oriented graph nodes requiring periodic visits by a service agent. The agent moves among the nodes and receives a payoff for each completed service task, depending on the time elapsed since the previous visit to a node. We consider…

计算机科学与博弈论 · 计算机科学 2023-05-19 David Klaška , Antonín Kučera , Vít Musil , Vojtěch Řehák

We consider fast algorithms for monotone submodular maximization subject to a matroid constraint. We assume that the matroid is given as input in an explicit form, and the goal is to obtain the best possible running times for important…

数据结构与算法 · 计算机科学 2018-11-20 Alina Ene , Huy L. Nguyen

We consider the Vector Scheduling problem on identical machines: we have m machines, and a set J of n jobs, where each job j has a processing-time vector $p_j\in \mathbb{R}^d_{\geq 0}$. The goal is to find an assignment $\sigma:J\to [m]$ of…

数据结构与算法 · 计算机科学 2021-11-16 Sharat Ibrahimpur , Chaitanya Swamy

We study a fair resource scheduling problem, where a set of interval jobs are to be allocated to heterogeneous machines controlled by agents. Each job is associated with release time, deadline, and processing time such that it can be…

计算机科学与博弈论 · 计算机科学 2022-01-03 Bo Li , Minming Li , Ruilong Zhang

Time-dependent scheduling with linear deterioration involves determining when to execute jobs whose processing times degrade as their beginning is delayed. Each job i is associated with a release time r_i and a processing time function…

数据结构与算法 · 计算机科学 2023-07-04 Angelos Gkikas , Dimitrios Letsios , Tomasz Radzik , Kathleen Steinhöfel