Compositional Modeling and Minimization of Time-Inhomogeneous Markov Chains

Tingting Han; Joost P. Katoen; A. Mereacre

doi:10.1007/978-3-540-78929-1_18

Compositional Modeling and Minimization of Time-Inhomogeneous Markov Chains

Tingting Han, Joost P. Katoen, A. Mereacre

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

9 Citations (Scopus)

Abstract

This paper presents a compositional framework for the modeling of interactive continuous-time Markov chains with time-dependent rates, a subclass of communicating piecewise deterministic Markov processes. A poly-time algorithm is presented for computing the coarsest quotient under strong bisimulation for rate functions that are either piecewise uniform or (piecewise) polynomial. Strong as well as weak bisimulation are shown to be congruence relations for the compositional framework, thus allowing component-wise minimization. In addition, a new characterization of transient probabilities in time-inhomogeneous Markov chains with piecewise uniform rates is provided.

Original language	Undefined
Title of host publication	Hybrid Systems: Computation and Control (HSCC)
Place of Publication	Berlin
Publisher	Springer
Pages	244-258
Number of pages	15
ISBN (Print)	978-3-540-78928-4
DOIs	https://doi.org/10.1007/978-3-540-78929-1_18 https://doi.org/10.1007/978-3-540-78929-1
Publication status	Published - Apr 2008
Event	11th International Workshop on Hybrid Systems: Computation and Control, HSCC 2008 - St. Louis, United States Duration: 22 Apr 2008 → 24 Apr 2008 Conference number: 11

Publication series

Name	Lecture Notes in Computer Science
Publisher	Springer Verlag
Number	69160R
Volume	4981
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Workshop

Workshop	11th International Workshop on Hybrid Systems: Computation and Control, HSCC 2008
Abbreviated title	HSCC
Country/Territory	United States
City	St. Louis
Period	22/04/08 → 24/04/08

Keywords

EWI-12140
IR-62226
METIS-250918

Access to Document

http://eprints.eemcs.utwente.nl/secure2/12140/01/49810244.pdf

Cite this

Han, T., Katoen, J. P., & Mereacre, A. (2008). Compositional Modeling and Minimization of Time-Inhomogeneous Markov Chains. In Hybrid Systems: Computation and Control (HSCC) (pp. 244-258). [10.1007/978-3-540-78929-1] (Lecture Notes in Computer Science; Vol. 4981, No. 69160R). Springer. https://doi.org/10.1007/978-3-540-78929-1_18, https://doi.org/10.1007/978-3-540-78929-1

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abstract = "This paper presents a compositional framework for the modeling of interactive continuous-time Markov chains with time-dependent rates, a subclass of communicating piecewise deterministic Markov processes. A poly-time algorithm is presented for computing the coarsest quotient under strong bisimulation for rate functions that are either piecewise uniform or (piecewise) polynomial. Strong as well as weak bisimulation are shown to be congruence relations for the compositional framework, thus allowing component-wise minimization. In addition, a new characterization of transient probabilities in time-inhomogeneous Markov chains with piecewise uniform rates is provided.",

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author = "Tingting Han and Katoen, {Joost P.} and A. Mereacre",

note = "10.1007/978-3-540-78929-1 ; null ; Conference date: 22-04-2008 Through 24-04-2008",

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doi = "10.1007/978-3-540-78929-1_18",

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Han, T, Katoen, JP & Mereacre, A 2008, Compositional Modeling and Minimization of Time-Inhomogeneous Markov Chains. in Hybrid Systems: Computation and Control (HSCC)., 10.1007/978-3-540-78929-1, Lecture Notes in Computer Science, no. 69160R, vol. 4981, Springer, Berlin, pp. 244-258, 11th International Workshop on Hybrid Systems: Computation and Control, HSCC 2008, St. Louis, Missouri, United States, 22/04/08. https://doi.org/10.1007/978-3-540-78929-1_18, https://doi.org/10.1007/978-3-540-78929-1

Compositional Modeling and Minimization of Time-Inhomogeneous Markov Chains. / Han, Tingting; Katoen, Joost P.; Mereacre, A.

Hybrid Systems: Computation and Control (HSCC). Berlin : Springer, 2008. p. 244-258 10.1007/978-3-540-78929-1 (Lecture Notes in Computer Science; Vol. 4981, No. 69160R).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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