By Marco Gribaudo, Daniele Manini, Anne Remke
This booklet constitutes the refereed complaints of the twenty second foreign convention on Analytical and Stochastic Modelling concepts and functions, ASMTA 2015, held in Albena, Bulgaria, in could 2015. The 15 complete papers provided during this booklet have been conscientiously reviewed and chosen from quite a few submissions. The papers speak about the most recent advancements in analytical, numerical and simulation algorithms for stochastic platforms, together with Markov tactics, queueing networks, stochastic Petri nets, strategy algebras, video game thought, etc.
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Additional resources for Analytical and Stochastic Modelling Techniques and Applications: 22nd International Conference, ASMTA 2015, Albena, Bulgaria, May 26-29, 2015. Proceedings
And Dev. 1(1), 36–42 (1975) 12. : Approximate methods for analyzing queueing network models of computing systems. ACM Comput. Surv. 10(3), 281–317 (1978) 13. : Computational algorithms for product form queueing networks. Commun. ACM 23(10), 573–583 (1980) 14. : Discrete ﬂow networks: Bottleneck analysis and ﬂuid approximations. Mathematics of Operations Research 16(2), 408–446 (1991) 15. : The operational analysis of queueing network models. ACM Comput. Surv. 10(3), 225–261 (1978) 16. : Cyclic queueing networks with restricted length queues.
We show that, as far as model checking (and reachability) is concerned, open intervals does not cause any problem, and with minor modification existing algorithms can be used for model checking interval Markov chains against PCTL formulas. 1 Introduction Discrete time Markov chains (DTMCs) are useful models for analyzing the reliability and performance of computer systems. A DTMC is deﬁned as a weighted directed graph where the weights on the outgoing transitions deﬁne a probability distribution.
It requires the notion of scheduler, which chooses c Springer International Publishing Switzerland 2015 M. Gribaudo et al. ): ASMTA 2015, LNCS 9081, pp. 30–42, 2015. 1007/978-3-319-18579-8 3 Model Checking of Open Interval Markov Chains 31 a distribution, each time a state is visited in an execution, from a (possibly uncountable) set of distributions deﬁned by the intervals on the transitions. The logic probabilistic computation tree logic (PCTL) , extends the temporal logic CTL  with probabilities.
Analytical and Stochastic Modelling Techniques and Applications: 22nd International Conference, ASMTA 2015, Albena, Bulgaria, May 26-29, 2015. Proceedings by Marco Gribaudo, Daniele Manini, Anne Remke