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We investigate the global scheduling of sporadic, implicit deadline, real-time task systems on multiprocessor platforms. We provide a task model which integrates job parallelism. We prove that the time-complexity of the feasibility problem…

Operating Systems · Computer Science 2008-05-22 S. Collette , L. Cucu , J. Goossens

The bloom clock is a space-efficient, probabilistic data structure designed to determine the partial order of events in highly distributed systems. The bloom clock, like the vector clock, can autonomously detect causality violations by…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-06-11 Lum Ramabaja

Programs for multiprocessor machines commonly perform busy waiting for synchronization. We propose the first separation logic for modularly verifying termination of such programs under fair scheduling. Our logic requires the proof author to…

Logic in Computer Science · Computer Science 2021-05-19 Tobias Reinhard , Bart Jacobs

Real-time systems increasingly use multicore processors in order to satisfy thermal, power, and computational requirements. To exploit the architectural parallelism offered by the multicore processors, parallel task models, scheduling…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-01-28 Niklas Ueter , Mario Günzel , Jian-Jia Chen

A controversy surrounding the "tunnelling time problem" stems from the seeming inability of quantum mechanics to provide, in the usual way, a definition of the duration a particle is supposed to spend in a given region of space. For this…

Quantum Physics · Physics 2021-02-08 D. Sokolovski , E. Akhmatskaya

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

This paper is proposing a general periodicity result concerning any deterministic and memoryless scheduling algorithm (including non-work-conserving algorithms), for any context, on identical multiprocessor platforms. By context we mean the…

Operating Systems · Computer Science 2013-05-17 Emmanuel Grolleau , Joël Goossens , Liliana Cucu-Grosjean

We consider the classical scheduling problem on parallel identical machines to minimize the makespan, and achieve the following results under the Exponential Time Hypothesis (ETH) 1. The scheduling problem on a constant number $m$ of…

Computational Complexity · Computer Science 2013-10-02 Lin Chen , Klaus Jansen , Guochuan Zhang

We consider energy-efficient scheduling on multiprocessors, where the speed of each processor can be individually scaled, and a processor consumes power $s^{\alpha}$ when running at speed $s$, for $\alpha>1$. A scheduling algorithm needs to…

Data Structures and Algorithms · Computer Science 2014-10-14 Hongyang Sun , Yuxiong He , Wen-Jing Hsu , Rui Fan

In this paper, we address the scheduling problem of multi-mode real-time systems upon uniform multiprocessor platforms. We propose two transition protocols, specified together with their schedulability test, and provide the reader with two…

Operating Systems · Computer Science 2010-04-22 Patrick Meumeu Yomsi , Vincent Nelis , Joël Goossens

In this dissertation we describe two contributions to the state of the art in reasoning about liveness and safety, respectively. Programs for multiprocessor machines commonly perform busy waiting for synchronization. We propose the first…

Logic in Computer Science · Computer Science 2024-03-15 Tobias Reinhard

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

For a given set of intervals on the real line, we consider the problem of ordering the intervals with the goal of minimizing an objective function that depends on the exposed interval pieces (that is, the pieces that are not covered by…

Data Structures and Algorithms · Computer Science 2011-12-05 Christoph Dürr , Maurice Queyranne , Frits C. R. Spieksma , Fabrice Talla Nobibon , Gerhard J. Woeginger

Machine scheduling problems involving conflict jobs can be seen as a constrained version of the classical scheduling problem, in which some jobs are conflict in the sense that they cannot be proceeded simultaneously on different machines.…

Data Structures and Algorithms · Computer Science 2021-02-12 Minh Hoàng Hà , Dinh Quy Ta , Trung Thanh Nguyen

This article presents a complete scheme for the development of Critical Embedded Systems with Multiple Real-Time Constraints. The system is programmed with a language that extends the synchronous approach with high-level real-time…

Programming Languages · Computer Science 2010-04-01 Julien Forget , Frédéric Boniol , David Lesens , Claire Pagetti

In this paper, we investigate the problem of linear temporal logic (LTL) path planning for multi-agent systems, introducing the new concept of \emph{ordering constraints}. Specifically, we consider a generic objective function that is…

Systems and Control · Electrical Eng. & Systems 2024-04-09 Bowen Ye , Jianing Zhao , Shaoyuan Li , Xiang Yin

Higher-Order Fixpoint Logic (HFL) is a hybrid of the simply typed \lambda-calculus and the modal \lambda-calculus. This makes it a highly expressive temporal logic that is capable of expressing various interesting correctness properties of…

Logic in Computer Science · Computer Science 2015-07-01 Roland Axelsson , Martin Lange , Rafal Somla

We currently see a steady rise in the usage and size of multiprocessor systems, and so the community is evermore interested in developing fast parallel processing algorithms. However, most algorithms require a synchronization mechanism,…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-08-12 Arya Tanmay Gupta

We investigate multi-organizational scheduling problems, building upon the framework introduced by Pascual et al.[2009]. In this setting, multiple organizations each own a set of identical machines and sequential jobs with distinct…

Computer Science and Game Theory · Computer Science 2025-05-20 Jiehua Chen , Martin Durand , Christian Hatschka

In this ongoing work, we are interested in multiprocessor energy efficient systems, where task durations are not known in advance, but are know stochastically. More precisely, we consider global scheduling algorithms for frame-based…

Operating Systems · Computer Science 2008-09-25 Vandy Berten , Joël Goossens