Titlebook: Interactive Markov Chains; The Quest for Quanti Holger Hermanns Book 2002 Springer-Verlag Berlin Heidelberg 2002 Concurrent Systems.Formal

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Holger Hermannsial and geographical limits, and the use of digital tools provided new perspectives for humanities scholars, who are able to read the sources differently. However, working with digitised sources also created new challenges that humanities scholars are not always equipped to overcome..The ‘MedIcal Li

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Introduction,ls in many diverse areas, not only in mathematics and computer science but also in other disciplines such as operations research, industrial engineering, biology, demographics, and so on. Markov chains can be used to estimate performance and dependability characteristics of various nature, for insta

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Interactive Processes,ith two composition operators, abstraction and parallel composition. We then proceed discussing useful equivalences on this model, essentially recalling the motivation for strong and weak bisimilarity. We also sketch efficient algorithms to compute these equivalences. The contents of this chapter is

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Markov Chains,enomena that change randomly as time progresses.We focus onMarkov chains, as simple and adequate models for many such phenomena. More precise, we cover discrete—as well as continuous-time Markov chains. We discuss details of their analysis to set the ground for the requirements of later chapters, an

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Algebra of Interactive Markov Chains,ists of a set of operations on a given carrier set together with equational laws that characterise these operations. A well-know algebra is the algebra of natural numbers where addition and multiplication satisfy associativity and commutativity laws..To begin with, we show how to specify IMC in a pu

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Interactive Markov Chains in Practice,mposition by means of a simple producer—consumer example. In particular, we compare the growth of the state space to other methods to generate an aggregated state space. In a second case study, we use IMC to model a real world application, namely an ordinary telephony system. The constraint oriented