Interactive Markov Chains

The Quest for Quantified Quality
2002
ISBN: 978-3-540-44261-5
Verlag: Springer Berlin Heidelberg

Buch, Englisch, Band 2428, 217 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 365 g

Reihe: Lecture Notes in Computer Science

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.

Zielgruppe

Research

Autoren/Hrsg.

Hermanns, Holger

Fachgebiete

• Mathematik | Informatik Mathematik Stochastik Elementare Stochastik
• Mathematik | Informatik EDV | Informatik Informatik Logik, formale Sprachen, Automaten
• Mathematik | Informatik EDV | Informatik Programmierung | Softwareentwicklung Software Engineering Objektorientierte Softwareentwicklung
• Mathematik | Informatik Mathematik Stochastik Mathematische Statistik
• Mathematik | Informatik EDV | Informatik Technische Informatik Systemverwaltung & Management
• Mathematik | Informatik Mathematik Stochastik Stochastische Prozesse

Inhaltsverzeichnis

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.