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We consider a natural generalization of scheduling $n$ jobs on $m$ parallel machines so as to minimize the makespan. In our extension the set of jobs is partitioned into several classes and a machine requires a setup whenever it switches…

Data Structures and Algorithms · Computer Science 2018-09-28 Klaus Jansen , Marten Maack , Alexander Mäcker

We consider scheduling on identical and unrelated parallel machines with job assignment restrictions. These problems are NP-hard and they do not admit polynomial time approximation algorithms with approximation ratios smaller than $1.5$…

Data Structures and Algorithms · Computer Science 2017-01-26 Klaus Jansen , Marten Maack , Roberto Solis-Oba

In this paper, we consider the problem of scheduling jobs on parallel identical machines, where the processing times of jobs are uncertain: only interval bounds of processing times are known. The optimality criterion of a schedule is the…

Data Structures and Algorithms · Computer Science 2016-03-25 Maciej Drwal , Roman Rischke

Although Boolean Constraint Technology has made tremendous progress over the last decade, the efficacy of state-of-the-art solvers is known to vary considerably across different types of problem instances and is known to depend strongly on…

Artificial Intelligence · Computer Science 2014-01-07 Holger Hoos , Roland Kaminski , Marius Lindauer , Torsten Schaub

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…

Data Structures and Algorithms · Computer Science 2009-06-18 Chi Zhang , Gang Wang , Xiaoguang Liu , Jing Liu

This paper investigates co-scheduling algorithms for processing a set of parallel applications. Instead of executing each application one by one, using a maximum degree of parallelism for each of them, we aim at scheduling several…

Data Structures and Algorithms · Computer Science 2013-05-01 Guillaume Aupy , Manu Shantharam , Anne Benoit , Yves Robert , Padma Raghavan

The main goal of parallel processing is to provide users with performance that is much better than that of single processor systems. The execution of jobs is scheduled, which requires certain resources in order to meet certain criteria.…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-02-07 Yang Cao , Fei Wu , Thomas Robertazzi

We describe in this paper a new method for building an efficient algorithm for scheduling jobs in a cluster. Jobs are considered as parallel tasks (PT) which can be scheduled on any number of processors. The main feature is to consider two…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-08-16 Pierre-Francois Dutot , Lionel Eyraud , Grégory Mounié , Denis Trystram

We introduce and study a general scheduling problem that we term the Packing Scheduling problem. In this problem, jobs can have different arrival times and sizes; a scheduler can process job $j$ at rate $x_j$, subject to arbitrary packing…

Data Structures and Algorithms · Computer Science 2014-04-07 Sungjin Im , Janardhan Kulkarni , Kamesh Munagala

We consider the uniform parallel machines scheduling problem in the context of optimistic bilevel optimization, where two speed options are considered. In this scenario, the leader aims to minimize the weighted number of tardy jobs, while…

Optimization and Control · Mathematics 2026-03-06 Quentin Schau , Olivier Ploton , Vincent T'kindt , Han Hoogeveen , Federico Della Croce , Jippe Hoogeveen

The ever-growing processing power of supercomputers in recent decades enables us to explore increasing complex scientific problems. Effective scheduling these jobs is crucial for individual job performance and system efficiency. The…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-09-21 Yuping Fan

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…

Discrete Mathematics · Computer Science 2021-11-15 Moritz Buchem , Linda Kleist , Daniel Schmidt genannt Waldschmidt

Model predictive control (MPC) is a powerful framework for optimal control of dynamical systems. However, MPC solvers suffer from a high computational burden that restricts their application to systems with low sampling frequency. This…

Optimization and Control · Mathematics 2025-03-12 Casian Iacob , Hany Abdulsamad , Simo Särkkä

This paper presents a multiagent approach as a paradigm for scheduling parallel jobs in a parallel system. Scheduling parallel jobs is performed as a means to balance the load of a system in order to improve the performance of a parallel…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-06-29 Jaderick P. Pabico

Over the past few years, self-attention is shining in the field of deep learning, especially in the domain of natural language processing(NLP). Its impressive effectiveness, along with ubiquitous implementations, have aroused our interest…

Machine Learning · Computer Science 2020-12-03 Mingfei Yu , Masahiro Fujita

This paper considers the problem of scheduling a single batch processing machine such that the total number of tardy jobs is minimized. The machine can simultaneously process several jobs as a batch as long as the machine capacity is not…

Optimization and Control · Mathematics 2019-02-18 Panteha Alipour

The proliferation of multi-core and multiprocessor-based computer systems has led to explosive development of parallel applications and hence the need for efficient schedulers. In this paper, we study hierarchical scheduling for malleable…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-12-16 Yangjie Cao , Hongyang Sun , Depei Qian , Weiguo Wu

We study the problem of executing an application represented by a precedence task graph on a parallel machine composed of standard computing cores and accelerators. Contrary to most existing approaches, we distinguish the allocation and the…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-11-20 Marcos Amaris , Giorgio Lucarelli , Clément Mommessin , Denis Trystram

We consider scheduling problems for unit jobs with release times, where the number or size of the gaps in the schedule is taken into consideration, either in the objective function or as a constraint. Except for a few papers on energy…

Data Structures and Algorithms · Computer Science 2020-07-21 Marek Chrobak , Mordecai Golin , Tak-Wah Lam , Dorian Nogneng

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,…

Data Structures and Algorithms · Computer Science 2020-04-08 Dimitris Fotakis , Jannik Matuschke , Orestis Papadigenopoulos
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