Download Quantitative Evaluation of Systems: 11th International by Gethin Norman, William Sanders PDF

By Gethin Norman, William Sanders

This e-book constitutes the lawsuits of the eleventh overseas convention on Quantitative assessment of structures, QEST 2014, held in Florence, Italy, in September 2014. The 24 complete papers and five brief papers integrated during this quantity have been conscientiously reviewed and chosen from sixty one submissions. they're prepared in topical sections named: Kronecker and product shape tools; hybrid platforms; suggest field/population research; types and instruments; simulation; queueing, debugging and instruments; technique algebra and equivalences; automata and Markov approach thought; functions, conception and instruments; and probabilistic version checking.

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Additional resources for Quantitative Evaluation of Systems: 11th International Conference, QEST 2014, Florence, Italy, September 8-10, 2014. Proceedings

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Sci. Comput. 31(5), 3744–3759 (2009) 25. : PEPS: A package for solving complex Markov models of parallel systems. , Potier, D. ) Modeling Techniques and Tools for Computer Performance Evaluation, pp. 291–305. Springer US (1989) 26. , 7th edn. Harcourt/Academic Press, Burlington (2000) 27. : QTT-rank-one vectors with QTT-rank-one and full-rank Fourier images. Linear Algebra Appl. 436(9), 3215–3224 (2012) 28. : The density-matrix renormalization group in the age of matrix product states. Ann. Physics 326, 96–192 (2011) 29.

C Springer International Publishing Switzerland 2014 42 L. Bortolussi and G. Sanguinetti There are many approaches in the literature that tackle the reachability problem for uncertain dynamical systems, which can be roughly divided in two classes: exact over-approximation methods and simulation-based methods [26]. The first class of methods manipulates directly sets of states, finitely represented, for instance, as polytopes [17], ellipsoids [24], or zonotopes [22]. The dynamics of the system is lifted at the set level, so that one computes the evolution of the reachable set under the action of the dynamics.

The terms a and b are rewritten as ⎧ R ⎪ ⎨ g f α (l, μg ) · yl if Kg−1 + 1 < k ≤ Kg for g ∈ Tg m a [k] = l=Lg g ⎪ ⎩0 otherwise ⎧ (14) Rg ⎪ ⎨ F¯ l α (l, μg ) · y if Kg−1 + 1 < k ≤ Kg for g ∈ Tg bm [k] = l=Lg g ⎪ ⎩0 otherwise A Structured Solution Approach for MRP 19 where Lg and Rg are the truncation points for the computations of the Taylor’s series of the α-factors of g. The values of am [k] and bm [k] can then be used to compute the vectors um , m ¯ and Δ explicitly). We v and wm of (12) (always without generating Q, Q m m begin with u .

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