A Fully Polynomial-Time Approximation Scheme for Feasibility Analysis in Static-Priority Systems with Arbitrary Relative Deadlines

  • Authors:
  • Nathan Fisher;Sanjoy Baruah

  • Affiliations:
  • University of North Carolina at Chapel Hill;University of North Carolina at Chapel Hill

  • Venue:
  • ECRTS '05 Proceedings of the 17th Euromicro Conference on Real-Time Systems
  • Year:
  • 2005

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Abstract

Current feasibility tests for the static-priority scheduling on uniprocessors of periodic task systems run in pseudo-polynomial time. We present a fully polynomial-time approximation scheme (FPTAS) for feasibility analysis in static-priority systems with arbitrary relative deadlines. This test is an approximation with respect to the amount of a processorýs capacity that must be "sacrificed" for the test to become exact. We show that an arbitrary level of accuracy, ?, may be chosen for the approximation scheme, and present a runtime bound that is polynomial in terms of ? and the number of tasks, n.