Quasi-Static Scheduling of Communicating Tasks

  • Authors:
  • Philippe Darondeau;Blaise Genest;P. S. Thiagarajan;Shaofa Yang

  • Affiliations:
  • IRISA, CNRS & INRIA, Rennes, France;IRISA, CNRS & INRIA, Rennes, France;School of Computing, National University of Singapore,;IRISA, CNRS & INRIA, Rennes, France

  • Venue:
  • CONCUR '08 Proceedings of the 19th international conference on Concurrency Theory
  • Year:
  • 2008

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Abstract

Good scheduling policies for distributed embedded applications are required for meeting hard real time constraints and for optimizing the use of computational resources. We study the quasi-static schedulingproblem in which (uncontrollable) control flow branchings can influence scheduling decisions at run time. Our abstracted task model consists of a network of sequential processes that communicate via point-to-point buffers. In each round, the task gets activated by a request from the environment. When the task has finished computing the required responses, it reaches a pre-determined configuration and is ready to receive a new request from the environment. For such systems, we prove that determining existence of quasi-static scheduling policies is undecidable. However, we show that the problem is decidable for the important sub-class of "data branching" systems in which control flow branchings are due exclusively to data-dependent internal choices made by the sequential components. This decidability result--which is non-trivial to establish--exploits ideas derived from the Karp and Miller coverability tree [8] as well as the existential boundedness notion of languages of message sequence charts [6].