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Transient Analysis of Real-Time Systems Using Deterministic and Stochastic Petri Nets

In: Quality of Communication-Based Systems

Author

Listed:
  • Varsha Mainkar

    (Duke University, Dept. of Computer Science)

  • Kishor S. Trivedi

    (Duke University, Dept. of Electrical Engineering)

Abstract

We present an analysis of a real-time system which has fixed-priority scheduling of aperiodic and periodic tasks. We assume that the cycle times of periodic tasks are multiples of each other, task execution times have phase-type distributions and aperiodic tasks arrive from Poisson sources. Since interarrival times of periodic tasks are constant, deterministic and stochastic Petri nets (DSPN) are an appropriate model. Using Markov regenerative theory to solve the DSPN model, the time-dependent behavior of the real-time system is studied. The steady-state behavior of such a system is shown to be periodic, i.e., there is no limiting probability distribution. Further, the response time distribution of an aperiodic task is also computed numerically. To our knowledge, this is the first time an analytical evaluation of a real-time system has been carried out at this level of detail.

Suggested Citation

  • Varsha Mainkar & Kishor S. Trivedi, 1995. "Transient Analysis of Real-Time Systems Using Deterministic and Stochastic Petri Nets," Springer Books, in: Günter Hommel (ed.), Quality of Communication-Based Systems, pages 69-84, Springer.
    • Handle: RePEc:spr:sprchp:978-94-011-0187-5_5
    DOI: 10.1007/978-94-011-0187-5_5
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