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We consider the problem of scheduling jobs with equal lengths on uniform parallel batch machines with non-identical capacities where each job can only be processed on a specified subset of machines called its processing set. For the case of…

Data Structures and Algorithms · Computer Science 2017-08-22 Shuguang Li

We propose three novel mathematical optimization formulations that solve the same two-type heterogeneous multiprocessor scheduling problem for a real-time taskset with hard constraints. Our formulations are based on a global scheduling…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-10-13 Mason Thammawichai , Eric C. Kerrigan

We are given a set of jobs, each one specified by its release date, its deadline and its processing volume (work), and a single (or a set of) speed-scalable processor(s). We adopt the standard model in speed-scaling in which if a processor…

Data Structures and Algorithms · Computer Science 2012-11-26 Evripidis Bampis , Giorgio Lucarelli , Ioannis Nemparis

We consider the problem of scheduling a set of $n$ tasks on $m$ processors under precedence, communication, and global system energy constraints to minimize makespan. We extend existing scheduling models to account for energy usage and give…

Data Structures and Algorithms · Computer Science 2011-05-27 David Felber , Adam Meyerson

We study the problem of preemptive scheduling of n equal-length jobs with given release times on m identical parallel machines. The objective is to minimize the average flow time. Recently, Brucker and Kravchenko proved that the optimal…

Data Structures and Algorithms · Computer Science 2007-05-23 Philippe Baptiste , Marek Chrobak , Christoph Durr , Francis Sourd

In this paper, we consider the online problem of scheduling independent jobs \emph{non-preemptively} so as to minimize the weighted flow-time on a set of unrelated machines. There has been a considerable amount of work on this problem in…

Data Structures and Algorithms · Computer Science 2018-04-24 Giorgio Lucarelli , Benjamin Moseley , Nguyen Kim Thang , Abhinav Srivastav , Denis Trystram

Major chip manufacturers have all introduced Multithreaded processors. These processors are used for running a variety of workloads. Efficient resource utilization is an important design aspect in such processors. Particularly, it is…

Performance · Computer Science 2019-08-13 Murthy Durbhakula

This paper studies the scheduling of jobs of different families on parallel machines with qualification constraints. Originating from semiconductor manufacturing, this constraint imposes a time threshold between the execution of two jobs of…

Artificial Intelligence · Computer Science 2020-11-23 Margaux Nattaf , Arnaud Malapert

Scheduling questions arise naturally in many different areas among which operating system design, compiling,... In real life systems, the characteristics of the jobs (such as release time and processing time) are usually unknown and…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Julien Robert , Nicolas Schabanel

Parallel machine scheduling has been extensively studied in the past decades, with applications ranging from production planning to job processing in large computing clusters. In this work we study some of these fundamental optimization…

Data Structures and Algorithms · Computer Science 2015-09-08 Yael Mordechai

We consider the problem of scheduling on a single processor a given set of n jobs. Each job j has a workload w_j and a release time r_j. The processor can vary its speed and hibernate to reduce energy consumption. In a schedule minimizing…

Data Structures and Algorithms · Computer Science 2012-10-23 Evripidis Bampis , Christoph Dürr , Fadi Kacem , Ioannis Milis

In this paper, we study the following batch scheduling model: find a schedule that minimizes total flow time for $n$ uniform length jobs, with release times and deadlines, where the machine is only actively processing jobs in at most $k$…

Data Structures and Algorithms · Computer Science 2022-06-06 Sami Davies , Samir Khuller , Shirley Zhang

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…

Data Structures and Algorithms · Computer Science 2018-07-10 Janardhan Kulkarni , Shi Li

This paper investigates the non-clairvoyant parallel machine scheduling problem with prediction, with the objective of minimizing the makespan. Improved lower bounds for the problem and competitive ratios of online algorithms with respect…

Data Structures and Algorithms · Computer Science 2025-04-16 Tianqi Chen , Zhiyi Tan

We study ordinal makespan scheduling on small numbers of identical machines, with respect to two parallel solutions. In ordinal scheduling, it is known that jobs are sorted by non-increasing sizes, but the specific sizes are not known in…

Data Structures and Algorithms · Computer Science 2022-10-17 Leah Epstein

Consider a system in which tasks of different execution times arrive continuously and have to be executed by a set of processors that are prone to crashes and restarts. In this paper we model and study the impact of parallelism and failures…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-06-11 Antonio Fernández Anta , Chryssis Georgiou , Dariusz R. Kowalski , Elli Zavou

The evolution of high-performance computing is associated with the growth of energy consumption. Performance of cluster computes (is increased via rising in performance and the number of used processors, GPUs, and coprocessors. An increment…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-12-23 E. A. Kiselev , P. N. Telegin , B. M. Shabanov

We consider a problem of scheduling rigid parallel jobs on variable speed processors so as to minimize the total energy consumption. Each job is specified by its processing volume and the required number of processors. We propose new…

Data Structures and Algorithms · Computer Science 2018-11-29 Alexander Kononov , Yulia Kovalenko

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…

Data Structures and Algorithms · Computer Science 2014-04-29 Konstantin Makarychev , Debmalya Panigrahi

Motivated by modern parallel computing applications, we consider the problem of scheduling parallel-task jobs with heterogeneous resource requirements in a cluster of machines. Each job consists of a set of tasks that can be processed in…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-04-03 Mehrnoosh Shafiee , Javad Ghaderi