### Abstract

Jackson queueing networks (JQNs) are a very general class of queueing networks that find their application in a variety of settings. The state space of the continuous-time Markov chain (CTMC) that underlies such a JQN, is highly structured, however, of infinite size in as many dimensions as there are queues. We present CSL model checking algorithms for labeled JQNs. To do so, we rely on well-known product-form results for the steady-state probabilities in (stable) JQNs. The transient probabilities are computed using an uniformization-based approach. We develop a new notion of property independence that allows us to define model checking algorithms for labeled JQNs.

Original language | English |
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Publisher | Springer Verlag |

Number of pages | 16 |

Place of Publication | London |

ISBN (Print) | 978-3-540-75453-4 |

DOIs | |

Publication status | Published - 3 Oct 2007 |

Externally published | Yes |

### Keywords

- EWI-11189
- METIS-241972
- IR-61958

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## Cite this

Remke, A. K. I., Haverkort, B. R. H. M., Raskin, J-F. (Ed.), & Thiagarajan, P. S. (Ed.) (2007, Oct 3). CSL Model Checking Algorithms for Infinite-state Structured Markov chains.

*London: Springer Verlag*. https://doi.org/10.1007/978-3-540-75454-1_24