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Using Max-Plus Algebra for the Evaluation of Stochastic Process Algebra Prefixes

  • Lucia Cloth
  • Henrik Bohnenkamp
  • Boudewijn Haverkort
Conference paper
  • 296 Downloads
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2165)

Abstract

In this paper, the concept of complete finite prefixes for process algebra expressions is extended to stochastic models. Events are supposed to happen after a delay that is determined by random variables assigned to the preceding conditions. Max-plus algebra expressions are shown to provide an elegant notation for stochastic prefixes not containing any decisions. Furthermore, they allow for the computation of performance measures. The derivation of the so called k-th occurrence times is shown in detail.

Keywords

Cycle Time Event Class Occurrence Time Recurrence Time Discrete Event System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Lucia Cloth
    • 1
  • Henrik Bohnenkamp
    • 1
  • Boudewijn Haverkort
    • 1
  1. 1.Department of Computer ScienceLaboratory for Performance Evaluation and Distributed SystemsAachen

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