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This paper studies the response time bound of a DAG (directed acyclic graph) task. Recently, the idea of using multiple paths to bound the response time of a DAG task, instead of using a single longest path in previous results, was proposed…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-15 Qingqiang He , Nan Guan , Shuai Zhao , Mingsong Lv

We consider load scheduling on constrained continuous-time linear dynamical systems, such as automated irrigation and other distribution networks. The requested loads are rigid, i.e., the shapes cannot be changed. Hence, it is only possible…

Optimization and Control · Mathematics 2016-11-15 Farhad Farokhi , Michael Cantoni , Iman Shames

Many real-life planning problems require making a priori decisions before all parameters of the problem have been revealed. An important special case of such problem arises in scheduling problems, where a set of tasks needs to be assigned…

Data Structures and Algorithms · Computer Science 2016-07-11 David Adjiashvili , Viktor Bindewald , Dennis Michaels

Scheduling distributed applications modeled as directed, acyclic task graphs to run on heterogeneous compute networks is a fundamental (NP-Hard) problem in distributed computing for which many heuristic algorithms have been proposed over…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-03-13 Jared Coleman , Ravi Vivek Agrawal , Ebrahim Hirani , Bhaskar Krishnamachari

In this work we are interested in the problem of scheduling and redistributing data on master-slave platforms. We consider the case were the workers possess initial loads, some of which having to be redistributed in order to balance their…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-08-16 Loris Marchal , Veronika Rehn , Yves Robert , Frédéric Vivien

The conventional design of real-time approaches depends heavily on the normal performance of systems and it often becomes incapacitated in dealing with catastrophic scenarios effectively. There are several investigations carried out to…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-07-22 A. Christy Persya , T. R. Gopalakrishnan Nair

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

Changing a given configuration in a graph into another one is known as a re- configuration problem. Such problems have recently received much interest in the context of algorithmic graph theory. We initiate the theoretical study of the…

Data Structures and Algorithms · Computer Science 2017-07-31 Saeed Akhoondian Amiri , Szymon Dudycz , Stefan Schmid , Sebastian Wiederrecht

The problem of attaining energy efficiency in distributed systems is of importance, but a general, non-domain-specific theory of energy-minimal scheduling is far from developed. In this paper, we classify the problems of energy-minimal…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-03-10 Pragati Agrawal , Shrisha Rao

We study the approximability of two related machine scheduling problems. In the late work minimization problem, there are identical parallel machines and the jobs have a common due date. The objective is to minimize the late work, defined…

Data Structures and Algorithms · Computer Science 2020-04-27 Peter Gyorgyi , Tamas Kis

Task graphs provide a simple way to describe scientific workflows (sets of tasks with dependencies) that can be executed on both HPC clusters and in the cloud. An important aspect of executing such graphs is the used scheduling algorithm.…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-04-18 Jakub Beránek , Stanislav Böhm , Vojtěch Cima

We consider a combined problem of teaming and scheduling of multi-skilled employees that have to perform jobs with uncertain qualification requirements. We propose two modeling approaches that generate solutions that are robust to possible…

Optimization and Control · Mathematics 2020-11-03 Yulia Anoshkina , Marc Goerigk , Frank Meisel

This paper focuses on the link scheduling problem in networks where signal delays between nodes are multiples of a time interval. To model such networks, a directed hypergraph is employed, along with an integer matrix that specifies the…

Information Theory · Computer Science 2024-10-28 Shenghao Yang , Jun Ma , Yanxiao Liu

Task-based runtime systems provide flexible load balancing and portability for parallel scientific applications, but their strong scaling is highly sensitive to task granularity. As parallelism increases, scheduling overhead may transition…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-26 Sana Taghipour Anvari , David Kaeli

This work addresses the problem of assigning periodic tasks to workers in a balanced way, i.e., so that each worker performs every task with the same frequency over the long term. The input consists of a list of tasks to be repeated weekly…

Discrete Mathematics · Computer Science 2025-05-27 Héloïse Gachet , Frédéric Meunier

Finding a maximum clique in a given graph is one of the fundamental NP-hard problems. We compare two multi-core thread-parallel adaptations of a state-of-the-art branch and bound algorithm for the maximum clique problem, and provide a novel…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-09-05 Ciaran McCreesh , Patrick Prosser

Given unit execution time (UET) tasks whose precedence constraints form a directed acyclic graph (DAG), the arcs are associated with unit communication time (UCT) delays. The problem is to schedule the tasks on two processors in order to…

Data Structures and Algorithms · Computer Science 2022-03-30 Ruzayn Quaddoura , Gassan Samara

We study the early work scheduling problem on identical parallel machines in order to maximize the total early work, i.e., the parts of non-preemptive jobs executed before a common due date. By preprocessing and constructing an auxiliary…

Data Structures and Algorithms · Computer Science 2020-07-27 Weidong Li

While previous work on energy-efficient algorithms focused on assumption that tasks can be assigned to any processor, we initially study the problem of task scheduling on restricted parallel processors. The objective is to minimize the…

Data Structures and Algorithms · Computer Science 2013-09-17 Xibo Jin , Fa Zhang , Ying Song , Liya Fan , Zhiyong Liu

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…

Artificial Intelligence · Computer Science 2024-02-27 Maziyar Khadivi , Mostafa Abbasi , Todd Charter , Homayoun Najjaran