Description: Markov Chains and Dependability Theory Covers fundamental and applied results of Markov chain analysis for the evaluation of dependability metrics, for graduate students and researchers. Gerardo Rubino (Author), Bruno Sericola (Author) 9781107007574, Cambridge University Press Hardback, published 12 June 2014 284 pages 25.4 x 18 x 1.8 cm, 0.64 kg Dependability metrics are omnipresent in every engineering field, from simple ones through to more complex measures combining performance and dependability aspects of systems. This book presents the mathematical basis of the analysis of these metrics in the most used framework, Markov models, describing both basic results and specialised techniques. The authors first present both discrete and continuous time Markov chains before focusing on dependability measures, which necessitate the study of Markov chains on a subset of states representing different user satisfaction levels for the modelled system. Topics covered include Markovian state lumping, analysis of sojourns on subset of states of Markov chains, analysis of most dependability metrics, fundamentals of performability analysis, and bounding and simulation techniques designed to evaluate dependability measures. The book is of interest to graduate students and researchers in all areas of engineering where the concepts of lifetime, repair duration, availability, reliability and risk are important. 1. Introduction 2. Discrete time Markov chains 3. Continuous time Markov chains 4. State aggregation of Markov chains 5. Sojourn times in subsets of states 6. Occupation times 7. Performability 8. Stationary detection 9. Simulation of dependability models 10. Bounding techniques. Subject Areas: Computer science [UY], Electrical engineering [THR], Mechanical engineering [TGB], Applied mathematics [PBW], Business mathematics & systems [KJQ]
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BIC Subject Area 1: Computer science [UY]
BIC Subject Area 2: Electrical engineering [THR]
BIC Subject Area 3: Mechanical engineering [TGB]
BIC Subject Area 4: Applied mathematics [PBW]
BIC Subject Area 5: Business mathematics & systems [KJQ]
Number of Pages: 284 Pages
Language: English
Publication Name: Markov Chains and Dependability Theory
Publisher: Cambridge University Press
Publication Year: 2014
Subject: Engineering & Technology
Item Height: 254 mm
Item Weight: 640 g
Type: Textbook
Author: Bruno Sericola, Gerardo Rubino
Item Width: 180 mm
Format: Hardcover
