Interactive Markov chains
Subtitle: and the quest for quantified quality
By: Holger Hermanns
Series: Lecture notes in computer science -- 2428. -- Lecture notes in artificial intelligence; Lecture notes in computer science -- 2428; Lecture notes in computer science
Publisher: Springer
Published: 2002
Place of publication: Berlin; New York
Language: eng
Number of pages: 217
Subjects: Markov processes
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.
Notes: Includes bibliographical references (p. [207]-217) and index

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