A Metric for Quantifying Similarity between Timing Constraint Sets in Real-Time Systems

  • Authors:
  • Yue Yu;Shangping Ren;Xiaobo Sharon Hu

  • Affiliations:
  • Illinois Institute of Technology;Illinois Institute of Technology;University of Notre Dame

  • Venue:
  • ACM Transactions on Design Automation of Electronic Systems (TODAES)
  • Year:
  • 2011

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Abstract

Real-time systems are systems in which their timing behaviors must satisfy a specified set of timing constraints and they often operate in a real-world environment with scarce resources. As a result, the actual runtime performance of these systems may deviate from the design, either inevitably due to unpredictable factors or by intention in order to improve system’s other Quality-of-Service (QoS) properties. In this article, we first introduce a new metric, timing constraint set similarity, to quantify the resemblance between two different timing constraint sets. Because directly calculating the exact value of the metric involves calculating the size of a polytope which is a #P-hard problem, we instead introduce an efficient method for estimating its bound. We further illustrate how this metric can be exploited for improving system predictability and for evaluating trade-offs between timing constraint compromises and the system’s other QoS property gains.