Bounding the Response Time of DAG Tasks Using Long Paths

Qingqiang He, Nan Guan, Mingsong Lv, Xu Jiang, Wanli Chang

202217 citationsDOI

Abstract

In 1969, Graham developed a well-known response time bound for a DAG task using the total workload and the longest path of the DAG, which has been widely applied to solve many scheduling and analysis problems of DAG-based task systems. This paper presents a new response time bound for a DAG task using the total workload and the lengths of multiple long paths of the DAG, instead of the longest path in Graham's bound. Our new bound theoretically dominates and empirically outperforms Graham's bound. We further extend the proposed approach to multi-DAG task systems. Our schedulability test theoretically dominates federated scheduling and outperforms the state-of-the-art by a considerable margin.

Topics & Concepts

Bounding overwatchComputer scienceWorkloadScheduling (production processes)Upper and lower boundsDirected acyclic graphResponse timePreemptionCritical path methodTask (project management)Path (computing)Processor schedulingAlgorithmDistributed computingMathematical optimizationMathematicsScheduleComputer networkArtificial intelligenceEngineeringOperating systemSystems engineeringComputer graphics (images)Mathematical analysisReal-Time Systems SchedulingScheduling and Optimization AlgorithmsDistributed and Parallel Computing Systems