2020 · 67 citations · 21 references
EngineeringComputer EngineeringComputer ScienceComputer ArchitectureParallel ComputingSchedulingConcurrent ModelingReal-time SchedulingReal-time Systems DesignDag SchedulingDependency AnalysisDirected Acyclic Graph SchedulingIndustrial Automation SystemsMultiprocessor Response Time AnalysisMultiprocessor SchedulingNode DependencyScheduling In Multiprocessor Systems
With ever more complex functionalities being implemented in emerging real-time applications, multiprocessor systems are demanded for high performance, and directed acyclic graphs (DAGs) are used to model functional dependencies. In this work, we study a single periodic non-preemptive DAG running on a homogeneous multiprocessor platform, which is a common setup in many domains, such as automotive, robotics, and industrial automation. Aiming to reduce the makespan of the DAG and provide a tight yet safe bound, our contributions involve the exploitation of node-level parallelism and inter-node dependency, which are the two key factors of a DAG topology. First, we introduce a concurrent provider and consumer (CPC) model that precisely captures the above two factors, and can be recursively applied when parsing a DAG. Building upon CPC, we propose a novel scheduling method focused on reducing the makespan that orders the nodes in the following sequence: (i) the critical path, (ii) early predecessor paths of the critical path, and (iii) longer paths. Secondly, new response time analysis is presented, which provides a generic bound for any execution order of the non-critical nodes and a specific (tighter) bound for a fixed such order. Comprehensive evaluation demonstrates that our scheduling approach and analysis outperforms the state-of-the-art methods.
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Bounds on Multiprocessing Timing Anomalies
Ron Graham · SIAM Journal on Applied Mathematics · 1969 · 2.4K citations
A Generalized Parallel Task Model for Recurrent Real-time Processes
Vincenzo Bonifaci, Alberto Marchetti-Spaccamela, Leen Stougie et al. · 2012 · 186 citations · Full text