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A multiple server setting is considered, where each server has tunable speed, and increasing the speed incurs an energy cost. Jobs arrive to a single queue, and each job has two types of sub-tasks, map and reduce, and a {\bf precedence}…

数据结构与算法 · 计算机科学 2021-05-20 Rahul Vaze , Jayakrishnan Nair

We consider algorithms for load balancing on unreliable machines. The objective is to optimize the two criteria of minimizing the makespan and minimizing job reassignments in response to machine failures. We assume that the set of jobs is…

数据结构与算法 · 计算机科学 2007-05-23 James Aspnes , Yang Richard Yang , Yitong Yin

The Chance-Constrained Parallel Machine Scheduling Problem (CC-PMSP) assigns jobs with uncertain processing times to machines, ensuring that each machine's availability constraints are met with a certain probability. We present a…

最优化与控制 · 数学 2025-04-30 Nicolás Casassus , Margarita Castro , Gustavo Angulo

Machine scheduling is a fundamental optimization problem in computer science. The task of scheduling a set of jobs on a given number of machines and minimizing the makespan is well studied and among other results, we know that EPTAS's for…

数据结构与算法 · 计算机科学 2018-10-18 Kilian Grage , Klaus Jansen , Kim Manuel Klein

In the problem of online load balancing on uniformly related machines with bounded migration, jobs arrive online one after another and have to be immediately placed on one of a given set of machines without knowledge about jobs that may…

数据结构与算法 · 计算机科学 2022-09-05 Marten Maack

The problem of scheduling with testing in the framework of explorable uncertainty models environments where some preliminary action can influence the duration of a task. In the model, each job has an unknown processing time that can be…

数据结构与算法 · 计算机科学 2021-08-20 Susanne Albers , Alexander Eckl

Algorithms with predictions is a recent framework that has been used to overcome pessimistic worst-case bounds in incomplete information settings. In the context of scheduling, very recent work has leveraged machine-learned predictions to…

数据结构与算法 · 计算机科学 2022-12-08 Eric Balkanski , Tingting Ou , Clifford Stein , Hao-Ting Wei

In the Scheduling Machines with Capacity Constraints problem, we are given k identical machines, each of which can process at most m_i jobs. M jobs are also given, where job j has a non-negative processing time length t_j >= 0. The task is…

数据结构与算法 · 计算机科学 2009-06-18 Chi Zhang , Gang Wang , Xiaoguang Liu , Jing Liu

We introduce a novel adversarial model for scheduling with explorable uncertainty. In this model, the processing time of a job can potentially be reduced (by an a priori unknown amount) by testing the job. Testing a job $j$ takes one unit…

数据结构与算法 · 计算机科学 2020-05-15 Christoph Dürr , Thomas Erlebach , Nicole Megow , Julie Meißner

We introduce a natural but seemingly yet unstudied generalization of the problem of scheduling jobs on a single machine so as to minimize the number of tardy jobs. Our generalization lies in simultaneously considering several instances of…

离散数学 · 计算机科学 2021-06-01 Klaus Heeger , Danny Hermelin , George B. Mertzios , Hendrik Molter , Rolf Niedermeier , Dvir Shabtay

We consider the online problem of scheduling jobs on identical machines, where jobs have precedence constraints. We are interested in the demanding setting where the jobs sizes are not known up-front, but are revealed only upon completion…

数据结构与算法 · 计算机科学 2019-05-07 Naveen Garg , Anupam Gupta , Amit Kumar , Sahil Singla

Scheduling a set of jobs over a collection of machines is a fundamental problem that needs to be solved millions of times a day in various computing platforms: in operating systems, in large data clusters, and in data centers. Along with…

数据结构与算法 · 计算机科学 2018-07-10 Janardhan Kulkarni , Shi Li

Negatively answering a question posed by Mnich and Wiese (Math. Program. 154(1-2):533-562), we show that P2|prec,$p_j{\in}\{1,2\}$|$C_{\max}$, the problem of finding a non-preemptive minimum-makespan schedule for precedence-constrained jobs…

We investigate the global scheduling of sporadic, implicit deadline, real-time task systems on multiprocessor platforms. We provide a task model which integrates job parallelism. We prove that the time-complexity of the feasibility problem…

操作系统 · 计算机科学 2008-05-22 S. Collette , L. Cucu , J. Goossens

Assigning jobs onto identical machines with the objective to minimize the maximal load is one of the most basic problems in combinatorial optimization. Motivated by product planing and data placement, we study a natural extension called…

数据结构与算法 · 计算机科学 2019-09-27 Klaus Jansen , Alexandra Lassota , Marten Maack

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

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

This paper focuses on the identical parallel machine scheduling problem with sequence-dependent setup time, with special attention paid to the uncertainty of processing time. In this paper, a mathematical model of the parallel machine…

最优化与控制 · 数学 2017-12-05 Lei Liu , Canrong Zhang

We study the classical scheduling problem of minimizing the makespan of a set of unit size jobs with precedence constraints on parallel identical machines. Research on the problem dates back to the landmark paper by Graham from 1966 who…

数据结构与算法 · 计算机科学 2025-01-17 Syamantak Das , Andreas Wiese

Scheduling query execution plans is a particularly complex problem in shared-nothing parallel systems, where each site consists of a collection of local time-shared (e.g., CPU(s) or disk(s)) and space-shared (e.g., memory) resources and…

数据库 · 计算机科学 2014-04-01 Minos Garofalakis , Yannis Ioannidis
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