Transient Analysis of Networks of Stochastic Timed Automata Using Stochastic State Classes

  • Paolo Ballarini
  • Nathalie Bertrand
  • András Horváth
  • Marco Paolieri
  • Enrico Vicario
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8054)

Abstract

Stochastic Timed Automata (STA) associate logical locations with continuous, generally distributed sojourn times. In this paper, we introduce Networks of Stochastic Timed Automata (NSTA), where the components interact with each other by message broadcasts. This results in an underlying stochastic process whose state is made of the vector of logical locations, the remaining sojourn times, and the value of clocks. We characterize this general state space Markov process through transient stochastic state classes that sample the state and the absolute age after each event. This provides an algorithmic approach to transient analysis of NSTA models, with fairly general termination conditions which we characterize with respect to structural properties of individual components that can be checked through straightforward algorithms.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Paolo Ballarini
    • 1
  • Nathalie Bertrand
    • 2
  • András Horváth
    • 3
  • Marco Paolieri
    • 4
  • Enrico Vicario
    • 4
  1. 1.École Centrale ParisFrance
  2. 2.Inria RennesFrance
  3. 3.Università di TorinoItaly
  4. 4.Università di FirenzeItaly

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