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We study a scheduling problem in which jobs may be split into parts, where the parts of a split job may be processed simultaneously on more than one machine. Each part of a job requires a setup time, however, on the machine where the job…

数据结构与算法 · 计算机科学 2012-12-11 Frans Schalekamp , Rene Sitters , Suzanne van der Ster , Leen Stougie , Victor Verdugo , Anke van Zuylen

Scheduling jobs with precedence constraints on a set of identical machines to minimize the total processing time (makespan) is a fundamental problem in combinatorial optimization. In practical settings such as cloud computing, jobs are…

数据结构与算法 · 计算机科学 2014-04-29 Konstantin Makarychev , Debmalya Panigrahi

In this paper we study a single machine scheduling problem with the objective of minimizing the sum of completion times. Each of the given jobs is either short or long. However the processing times are initially hidden to the algorithm, but…

数据结构与算法 · 计算机科学 2021-05-06 Fanny Dufossé , Christoph Dürr , Noël Nadal , Denis Trystram , Óscar C. Vásquez

We investigate distributed memory parallel sorting algorithms that scale to the largest available machines and are robust with respect to input size and distribution of the input elements. The main outcome is that four sorting algorithms…

分布式、并行与集群计算 · 计算机科学 2020-01-17 Michael Axtmann , Peter Sanders

This paper addresses a production scheduling problem derived from an industrial use case, focusing on unrelated parallel machine scheduling with the personnel availability constraint. The proposed model optimizes the production plan over a…

人工智能 · 计算机科学 2024-02-27 Maziyar Khadivi , Mostafa Abbasi , Todd Charter , Homayoun Najjaran

We study the problem of scheduling $n$ independent moldable tasks on $m$ processors that arises in large-scale parallel computations. When tasks are monotonic, the best known result is a $(\frac{3}{2}+\epsilon)$-approximation algorithm for…

数据结构与算法 · 计算机科学 2023-03-30 Xiaohu Wu , Patrick Loiseau

In the classical problem of scheduling on unrelated parallel machines, a set of jobs has to be assigned to a set of machines. The jobs have a processing time depending on the machine and the goal is to minimize the makespan, that is the…

数据结构与算法 · 计算机科学 2017-12-07 Klaus Jansen , Marten Maack

This paper addresses the problem of scheduling jobs on identical machines with conflict constraints, where certain jobs cannot be scheduled simultaneously on different machines. We focus on the case where conflicts can be represented by a…

离散数学 · 计算机科学 2025-07-03 Nour ElHouda Tellache , Lydia Aoudia , Mourad Boudhar

In a classical scheduling problem, we are given a set of $n$ jobs of unit length along with precedence constraints and the goal is to find a schedule of these jobs on $m$ identical machines that minimizes the makespan. This problem is…

数据结构与算法 · 计算机科学 2022-08-05 Jesper Nederlof , Céline M. F. Swennenhuis , Karol Węgrzycki

In parallel machine scheduling, we are given a set of jobs, together with a number of machines and our goal is to decide for each job, when and on which machine(s) it should be scheduled in order to minimize some objective function.…

数据结构与算法 · 计算机科学 2023-02-09 Klaus Jansen , Kai Kahler

This paper considers the problem of scheduling jobs on single and parallel machines where all the jobs possess different processing times but a common due date. There is a penalty involved with each job if it is processed earlier or later…

数据结构与算法 · 计算机科学 2013-11-13 Abhishek Awasthi , Jörg Lässig , Oliver Kramer

Makespan minimization on parallel identical machines is a classical and intensively studied problem in scheduling, and a classic example for online algorithm analysis with Graham's famous list scheduling algorithm dating back to the 1960s.…

数据结构与算法 · 计算机科学 2022-01-14 Leah Epstein , Alexandra Lassota , Asaf Levin , Marten Maack , Lars Rohwedder

We consider the problem of minimizing the makespan on batch processing identical machines, subject to compatibility constraints, where two jobs are compatible if they can be processed simultaneously in a same batch. These constraints are…

离散数学 · 计算机科学 2023-09-07 Khaoula Bouakaz , Mourad Boudhar

The performance of anytime algorithms can be improved by simultaneously solving several instances of algorithm-problem pairs. These pairs may include different instances of a problem (such as starting from a different initial state),…

人工智能 · 计算机科学 2011-06-28 L. Finkelstein , S. Markovitch , E. Rivlin

We consider the non-preemptive scheduling problem on identical machines where there is a parameter B and each machine in every unit length time interval can process up to B different jobs. The goal function we consider is the makespan…

数据结构与算法 · 计算机科学 2021-11-15 G. Jaykrishnan , Asaf Levin

In this paper, we consider the problem of scheduling an application on a parallel computational platform. The application is a particular task graph, either a linear chain of tasks, or a set of independent tasks. The platform is made of…

数据结构与算法 · 计算机科学 2012-10-18 Guillaume Aupy , Anne Benoit

In malleable job scheduling, jobs can be executed simultaneously on multiple machines with the processing time depending on the number of allocated machines. In this setting, jobs are required to be executed non-preemptively and in unison,…

数据结构与算法 · 计算机科学 2020-04-08 Dimitris Fotakis , Jannik Matuschke , Orestis Papadigenopoulos

We consider non-preemptive scheduling of MapReduce jobs with multiple tasks in the practical scenario where each job requires several map-reduce rounds. We seek to minimize the average weighted completion time and consider scheduling on…

数据结构与算法 · 计算机科学 2016-02-18 Dimitris Fotakis , Ioannis Milis , Orestis Papadigenopoulos , Vasilis Vassalos , Georgios Zois

This work presents a comparison for the performance of sequential sorting algorithms under four different modes of execution, the sequential processing mode, a conventional multi-threading implementation, multi-threading with OpenMP Library…

分布式、并行与集群计算 · 计算机科学 2021-09-07 Mohammad Fasha

We investigate deterministic non-preemptive online scheduling with delayed commitment for total completion time minimization on parallel identical machines. In this problem, jobs arrive one-by-one and their processing times are revealed…

数据结构与算法 · 计算机科学 2022-07-19 Uwe Schwiegelshohn