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International Conference on Measurement, Modelling and Evaluation of Computing Systems

MMB 2018: Measurement, Modelling and Evaluation of Computing Systems pp 332–337Cite as

FunSpec4DTMC – A Tool for Modelling Discrete-Time Markov Chains Using Functional Specification

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Part of the book series: Lecture Notes in Computer Science ((LNPSE,volume 10740))

Abstract

We present a tool for the analysis of finite discrete-time Markov chains (DTMCs). As a novelty, the tool offers functional specification of DTMCs and implements forward algorithms to compute the stationary state distribution \(x_s\) of the DTMC or derive its transition matrix P [19]. In addition, we implement nine direct and indirect algorithms to compute various metrics of DTMCs based on P including an algorithm to determine the period of the DTMC. The tool is intended for both production purposes and as platform for teaching the functional specification of DTMCs. It is published under GPLv3 [3] on Github [2].

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References

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Author information

Authors and Affiliations

  1. Chair of Communication Networks, University of Tuebingen, Sand 13, 72076, Tuebingen, Germany

    Frederik Hauser, Dominik Krauß & Michael Menth

Authors
  1. Frederik Hauser
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  2. Dominik Krauß
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  3. Michael Menth
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Corresponding authors

Correspondence to Frederik Hauser , Dominik Krauß or Michael Menth .

Editor information

Editors and Affiliations

  1. University of Erlangen-Nuremberg , Erlangen, Germany

    Reinhard German

  2. University of Erlangen-Nuremberg , Erlangen, Germany

    Kai-Steffen Hielscher

  3. Otto-Friedrich-Universität Bamberg , Bamberg, Germany

    Udo R. Krieger

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Hauser, F., Krauß, D., Menth, M. (2018). FunSpec4DTMC – A Tool for Modelling Discrete-Time Markov Chains Using Functional Specification. In: German, R., Hielscher, KS., Krieger, U. (eds) Measurement, Modelling and Evaluation of Computing Systems. MMB 2018. Lecture Notes in Computer Science(), vol 10740. Springer, Cham. https://doi.org/10.1007/978-3-319-74947-1_28

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  • DOI: https://doi.org/10.1007/978-3-319-74947-1_28

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-74946-4

  • Online ISBN: 978-3-319-74947-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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