Titlebook: Constructive Computation in Stochastic Models with Applications; The RG-Factorization Quan-Lin Li Book 2010 The Editor(s) (if applicable) a

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John Krumm,Gregory D. Abowd,Thomas Strange transient solution includes the transient probability, the first passage time, the sojourn time and time-inhomogeneous Markov chains. Based on the first passage time, we extends the PH distribution and the MAP to the GPH distribution and the GMAP from finite phases to infinite phases, respectively

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https://doi.org/10.1007/978-3-540-75951-5 We derive the .-factorizations for the β -discounted block-structured transition matrix. We provide conditions for the state α -classification, and derive two sets of expressions for the quasi-stationary distribution. As important examples, we analyze Markov chains of ./1 type, Markov chains of ./1

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https://doi.org/10.1007/978-3-540-75951-5tinuous-time. By using the UL- and LU-types of .-factorizations, we can express the .th derivatives of the performance measures, including the stationary, transient and discounted cases. Furthermore, we apply the sensitivity analysis to study symmetric evolutionary games by perturbed birth death pro

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The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer-Verlag GmbH, DE

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