Interactive Markov Chains
The Quest for Quantified Quality
Published on 2. August 2003
XII, 217 pages
978-3-540-45804-3 (ISBN)
Description
Markov Chains are widely used as stochastic models to study a broad spectrum of system performance and dependability characteristics. This monograph is devoted to compositional specification and analysis of Markov chains.
Based on principles known from process algebra, the author systematically develops an algebra of interactive Markov chains. By presenting a number of distinguishing results, of both theoretical and practical nature, the author substantiates the claim that interactive Markov chains are more than just another formalism: Among other, an algebraic theory of interactive Markov chains is developed, devise algorithms to mechanize compositional aggregation are presented, and state spaces of several million states resulting from the study of an ordinary telefone system are analyzed.
Based on principles known from process algebra, the author systematically develops an algebra of interactive Markov chains. By presenting a number of distinguishing results, of both theoretical and practical nature, the author substantiates the claim that interactive Markov chains are more than just another formalism: Among other, an algebraic theory of interactive Markov chains is developed, devise algorithms to mechanize compositional aggregation are presented, and state spaces of several million states resulting from the study of an ordinary telefone system are analyzed.
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09/2002
Springer
€53.49
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Content
Interactive Processes.- Markov Chains.- Interactive Markov Chains.- Algebra of Interactive Markov Chains.- Interactive Markov Chains in Practice.- Conclusion.- Proofs for Chapter 3 and Chapter 4.- Proofs for Chapter 5.
