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

L. Cloth, H.C. Bohnenkamp, Boudewijn R.H.M. Haverkort, L. de Alfaro (Editor), S. Gilmore (Editor)

Research output: Contribution to conferencePaperOther research output

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.
Original languageEnglish
Pages152-167
Number of pages16
DOIs
Publication statusPublished - 2001
Externally publishedYes

Fingerprint

Max-plus Algebra
Stochastic Process Algebra
Prefix
Process Algebra
Evaluation
Performance Measures
Notation
Stochastic Model
Random variable

Keywords

  • IR-63634
  • EWI-7907

Cite this

Cloth, L. ; Bohnenkamp, H.C. ; Haverkort, Boudewijn R.H.M. ; de Alfaro, L. (Editor) ; Gilmore, S. (Editor). / Using Max-Plus Algebra for the Evaluation of Stochastic Process Algebra Prefixes. 16 p.
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keywords = "IR-63634, EWI-7907",
author = "L. Cloth and H.C. Bohnenkamp and Haverkort, {Boudewijn R.H.M.} and {de Alfaro}, L. and S. Gilmore",
note = "Imported from research group DACS (ID number 469)",
year = "2001",
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Using Max-Plus Algebra for the Evaluation of Stochastic Process Algebra Prefixes. / Cloth, L.; Bohnenkamp, H.C.; Haverkort, Boudewijn R.H.M.; de Alfaro, L. (Editor); Gilmore, S. (Editor).

2001. 152-167.

Research output: Contribution to conferencePaperOther research output

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