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Optimal Rate-based Scheduling on Multiprocessors

Summary: Optimal Rate-based Scheduling on
Anand Srinivasan and James H. Anderson
Department of Computer Science, University of North Carolina
Chapel Hill, NC 27599-3175 USA
December 2004
The PD2 Pfair/ERfair scheduling algorithm is the most efficient known algo-
rithm for optimally scheduling periodic tasks on multiprocessors. In this paper, we
prove that PD2 is also optimal for scheduling "rate-based" tasks whose processing
steps may be highly jittered. The rate-based task model we consider generalizes the
widely-studied sporadic task model.
Key words: Fairness, multiprocessors, optimality, Pfair, real time, scheduling
1 Introduction
In the real-time scheduling literature, the periodic [15] and sporadic [16] task
models have received the most attention. In the periodic model, each task is
invoked repeatedly, with consecutive invocations, or jobs, being spaced apart
by a fixed amount; in the sporadic model, a lower bound on the time be-
tween invocations is assumed. In practice, however, event occurrences often
are neither periodic nor sporadic. For example, in an application that services


Source: Anderson, James - Department of Computer Science, University of North Carolina at Chapel Hill


Collections: Computer Technologies and Information Sciences