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Makespan minimization on unrelated machines is a classic problem in approximation algorithms. No polynomial time $(2-\delta)$-approximation algorithm is known for the problem for constant $\delta> 0$. This is true even for certain special…

数据结构与算法 · 计算机科学 2014-10-29 Deeparnab Chakrabarty , Sanjeev Khanna , Shi Li

We study the online preemptive scheduling of intervals and jobs (with restarts). Each interval or job has an arrival time, a deadline, a length and a weight. The objective is to maximize the total weight of completed intervals or jobs.…

数据结构与算法 · 计算机科学 2012-04-16 Stanley P. Y. Fung , Chung Keung Poon , Feifeng Zheng

We consider a distributed computing network consisting of a master and multiple workers processing tasks of different types. The master is running multiple applications. Each application stochastically generates real-time jobs with a strict…

分布式、并行与集群计算 · 计算机科学 2020-01-31 Yu-Pin Hsu , Yu-Chih Huang , Shin-Lin Shieh

This paper considers the scheduling of stochastic jobs on parallel identical machines to minimize the expected total weighted completion time. While this is a classical problem with a significant body of research on approximation algorithms…

数据结构与算法 · 计算机科学 2026-01-27 Benjamin Moseley , Kirk Pruhs , Marc Uetz , Rudy Zhou

In this paper we develop optimal algorithms in the binary-forking model for a variety of fundamental problems, including sorting, semisorting, list ranking, tree contraction, range minima, and ordered set union, intersection and difference.…

数据结构与算法 · 计算机科学 2020-06-26 Guy E. Blelloch , Jeremy T. Fineman , Yan Gu , Yihan Sun

Given a hierarchical plan (or schedule) with uncertain task times, we propose a deterministic polynomial (time and memory) algorithm for estimating the probability that its meets a deadline, or, alternately, that its {\em makespan} is less…

人工智能 · 计算机科学 2017-12-27 Liat Cohen , Solomon Eyal Shimony , Gera Weiss

In this work, we study spectrum auction problem where each request from secondary users has spatial, temporal, and spectral features. With the requests of secondary users and the reserve price of the primary user, our goal is to design…

网络与互联网体系结构 · 计算机科学 2013-05-29 Yu-e Sun , He Huang , Xiang-Yang Li , Zhili Chen , Wei Yang , Hongli Xu , Liusheng Huang

Classical list scheduling is a very popular and efficient technique for scheduling jobs in parallel and distributed platforms. It is inherently centralized. However, with the increasing number of processors, the cost for managing a single…

分布式、并行与集群计算 · 计算机科学 2011-07-20 Marc Tchiboukdjian , Nicolas Gast , Denis Trystram

In this paper, we consider an NP-hard problem of scheduling a set of jobs of equal processing time on two machines, given a partial precedence order on the set of jobs, with an objective to minimize the makespan. An approximation algorithm…

最优化与控制 · 数学 2014-12-17 Anna Romanova

Finding a maximum cut is a fundamental task in many computational settings. Surprisingly, it has been insufficiently studied in the classic distributed settings, where vertices communicate by synchronously sending messages to their…

数据结构与算法 · 计算机科学 2017-07-27 Keren Censor-Hillel , Rina Levy , Hadas Shachnai

This work gives the first natural non-utilitarian problems for which the trivial $n$ approximation via VCG mechanisms is the best possible. That is, no truthful mechanism can be better than $n$ approximate, where $n$ is the number of…

计算机科学与博弈论 · 计算机科学 2018-05-31 Stefano Leucci , Akaki Mamageishvili , Paolo Penna

In this paper we consider the coupled task scheduling problem with exact delay times on a single machine with the objective of minimizing the total completion time of the jobs. We provide constant-factor approximation algorithms for several…

最优化与控制 · 数学 2024-05-03 David Fischer , Péter Györgyi

We consider here the MultiBot problem for the scheduling and the resource parametrization of jobs related to the production or the transportation of different products inside a given time horizon. Those jobs must meet known in advance…

数据结构与算法 · 计算机科学 2024-01-02 Pierre Bergé , Mari Chaikovskaia , Jean-Philippe Gayon , Alain Quilliot

We study sublinear time algorithms for estimating the size of maximum matching in graphs. Our main result is a $(\frac{1}{2}+\Omega(1))$-approximation algorithm which can be implemented in $O(n^{1+\epsilon})$ time, where $n$ is the number…

数据结构与算法 · 计算机科学 2022-06-28 Soheil Behnezhad , Mohammad Roghani , Aviad Rubinstein , Amin Saberi

We study the scheduling problem of makespan minimization while taking machine conflicts into account. Machine conflicts arise in various settings, e.g., shared resources for pre- and post-processing of tasks or spatial restrictions. In this…

离散数学 · 计算机科学 2021-11-15 Moritz Buchem , Linda Kleist , Daniel Schmidt genannt Waldschmidt

In this paper we study the relation of two fundamental problems in scheduling and fair allocation: makespan minimization on unrelated parallel machines and max-min fair allocation, also known as the Santa Claus problem. For both of these…

数据结构与算法 · 计算机科学 2023-07-18 Étienne Bamas , Alexander Lindermayr , Nicole Megow , Lars Rohwedder , Jens Schlöter

Round Robin (RR) scheduling algorithm is a preemptive scheduling algorithm. It is designed especially for time sharing Operating System (OS). In RR scheduling algorithm the CPU switches between the processes when the static Time Quantum…

操作系统 · 计算机科学 2014-04-24 Sanjaya Kumar Panda , Sourav Kumar Bhoi

We introduce a parallel machine scheduling problem in which the processing times of jobs are not given in advance but are determined by a system of linear constraints. The objective is to minimize the makespan, i.e., the maximum job…

数据结构与算法 · 计算机科学 2015-10-30 Kameng Nip , Zhenbo Wang , Zizhuo Wang

A very well-known machine model in scheduling allows the machines to be unrelated, modelling jobs that might have different characteristics on each machine. Due to its generality, many optimization problems of this form are very difficult…

数据结构与算法 · 计算机科学 2012-05-07 Vincenzo Bonifaci , Andreas Wiese

As the gap between compute and I/O performance tends to grow, modern High-Performance Computing (HPC) architectures include a new resource type: an intermediate persistent fast memory layer, called burst buffers. This is just one of many…

分布式、并行与集群计算 · 计算机科学 2021-09-01 Adrian Naruszko , Bartłomiej Przybylski , Krzysztof Rzadca