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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…

Data Structures and Algorithms · Computer Science 2012-10-18 Guillaume Aupy , Anne Benoit

This paper describes a new approach to experimentally estimate the application schedulability for various processor frequencies. We use additional workload generated by an artificial high priority routine to simulate the frequency decrease…

Software Engineering · Computer Science 2007-05-23 Sampsa Fabritius , Raimondas Lencevicius , Edu Metz , Alexander Ran

We are concerned with the problem of scheduling $n$ jobs onto $m$ identical machines. Each machine has to be in operation for a prescribed time, and the objective is to minimize the total machine working time. Precisely, let $c_i$ be the…

Data Structures and Algorithms · Computer Science 2025-07-22 Yi-Ting Hsieh , Mong-Jen Kao , Jhong-Yun Liu , Hung-Lung Wang

While model checking PCTL for Markov chains is decidable in polynomial-time, the decidability of PCTL satisfiability, as well as its finite model property, are long standing open problems. While general satisfiability is an intriguing…

Logic in Computer Science · Computer Science 2015-03-20 Nathalie Bertrand , John Fearnley , Sven Schewe

In this paper, we study the active time scheduling problem. We are given n jobs with integral processing times each of which has an integral release time and deadline. The goal is to schedule all the jobs on a machine that can work on b…

Computational Complexity · Computer Science 2021-12-07 Sagnik Saha , Manish Purohit

In this paper we generalize N-fold integer programs and two-stage integer programs with N scenarios to N-fold 4-block decomposable integer programs. We show that for fixed blocks but variable N, these integer programs are polynomial-time…

Optimization and Control · Mathematics 2015-05-14 Raymond Hemmecke , Matthias Köppe , Robert Weismantel

We introduce a parallel machine scheduling problem in which the processing times of jobs are not given in advance but are determined by a system of linear constraints. The objective is to minimize the makespan, i.e., the maximum job…

Data Structures and Algorithms · Computer Science 2015-10-30 Kameng Nip , Zhenbo Wang , Zizhuo Wang

We investigate a single machine rescheduling problem that arises from an unexpected machine unavailability, after the given set of jobs has already been scheduled to minimize the total weighted completion time. Such a disruption is…

Data Structures and Algorithms · Computer Science 2017-01-27 Wenchang Luo , Taibo Luo , Randy Goebel , Guohui Lin

Consider the problem in which n jobs that are classified into k types are to be scheduled on m identical machines without preemption. A machine requires a proper setup taking s time units before processing jobs of a given type. The…

Data Structures and Algorithms · Computer Science 2015-04-28 Alexander Mäcker , Manuel Malatyali , Friedhelm Meyer auf der Heide , Sören Riechers

Scheduling with testing is a recent online problem within the framework of explorable uncertainty motivated by environments where some preliminary action can influence the duration of a task. Jobs have an unknown processing time that can be…

Data Structures and Algorithms · Computer Science 2021-08-20 Susanne Albers , Alexander Eckl

In time-triggered systems, where the schedule table is predefined and statically configured at design time, sporadic event-triggered (ET) tasks are handled within specially dedicated slots or when time-triggered (TT) tasks finish their…

Networking and Internet Architecture · Computer Science 2022-09-13 Anaïs Finzi , Silviu S. Craciunas , Marc Boyer

Algorithms for frequent pattern mining, a popular informatics application, have unique requirements that are not met by any of the existing parallel tools. In particular, such applications operate on extremely large data sets and have…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-11-08 Prabhanjan Kambadur , Amol Ghoting , Anshul Gupta , Andrew Lumsdaine

In end-to-end distributed real time systems, a task may be executed sequentially on different processors. The end-toend task response time must not exceed the end-to-end task deadline to consider the task a schedulable task. In transient…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-06-04 W. El-Haweet , Islam Elgedawy , Ibrahim Abd El-Salam

As a partial answer to a question of Rao, a deterministic and customizable efficient algorithm is presented to test whether an arbitrary graphical degree sequence has a bipartite realization. The algorithm can be configured to run in…

Combinatorics · Mathematics 2019-08-20 Kai Wang

This paper considers a recoverable robust single-machine scheduling problem under polyhedral uncertainty with the objective of minimising the total flow time. In this setting, a decision-maker must determine a first-stage schedule subject…

Optimization and Control · Mathematics 2022-03-08 Matthew Bold , Marc Goerigk

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…

Discrete Mathematics · Computer Science 2025-07-03 Nour ElHouda Tellache , Lydia Aoudia , Mourad Boudhar

Motivated by deep neural network applications, we study the problem of scheduling splittable jobs (e.g., neural network inference tasks) on configurable machines (e.g., multi-instance GPUs). We are given $n$ jobs and a set $C$ of…

Data Structures and Algorithms · Computer Science 2023-12-12 Matthew Casey , Rajmohan Rajaraman , David Stalfa

In this study, we investigate a robust single-machine scheduling problem under processing time uncertainty. The uncertainty is modeled using the budgeted approach, where each job has a nominal and deviation processing time, and the number…

Discrete Mathematics · Computer Science 2026-02-04 Noam Goldberg , Dvir Shabtay

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

This paper proposes new parametric model adequacy tests for possibly nonlinear and nonstationary time series models with noncontinuous data distribution, which is often the case in applied work. In particular, we consider the correct…

Statistics Theory · Mathematics 2021-08-10 Igor Kheifets , Carlos Velasco