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Semi-Markov processes : applications in system reliability and maintenance /
This book provides a modern view of discrete state space and continuous time semi-Markov processes and their applications in reliability and maintenance. It explains how to construct semi-Markov models and discusses the different reliability parameters and characteristics that can be obtained from t...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Amsterdam, Netherlands ; Waltham, MA, USA :
Elsevier,
[2015]
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Grabski, Franciszek, |e author. | |
| 245 | 1 | 0 | |a Semi-Markov processes : |b applications in system reliability and maintenance / |c Franciszek Grabski. |
| 264 | 1 | |a Amsterdam, Netherlands ; |a Waltham, MA, USA : |b Elsevier, |c [2015] | |
| 300 | |a 1 online resource (xiii, 255 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file | ||
| 504 | |a Includes bibliographical references. | ||
| 588 | 0 | |a Print version record. | |
| 520 | |a This book provides a modern view of discrete state space and continuous time semi-Markov processes and their applications in reliability and maintenance. It explains how to construct semi-Markov models and discusses the different reliability parameters and characteristics that can be obtained from those models. Topics include: properties and theorems from discrete state Semi-Markov Process (SMP) theory; method behind constructing Semi-Markov (SM) models and SM decision models in the field of reliability and maintenance; numerous individual versions of SM models, including the most recent and their impact on system reliability and maintenance. -- |c Edited summary from book. | ||
| 505 | 0 | |a Front Cover; Semi-Markov Processes: Applications in System Reliability and Maintenance; Copyright; Dedication; Contents; Preface; Chapter 1: Discrete state space Markov processes; 1.1 Basic definitions and properties; 1.2 Homogeneous Markov chains; 1.2.1 Basic definitions and properties; 1.2.2 Classification of states; 1.2.3 Limiting distribution; 1.3 Continuous-time homogeneous Markov processes; 1.4 Important examples; 1.4.1 Poisson process; 1.4.2 Furry-Yule process; 1.4.3 Finite state space birth and death process; 1.5 Numerical illustrative examples; Chapter 2:Semi-Markov process | |
| 505 | 8 | |a 2.1 Markov renewal processes2.2 Definition of discrete state space SMP; 2.3 Regularity of SMP; 2.4 Other methods of determining the SMP; 2.5 Connection between Semi-Markov and Markov process; 2.6 Illustrative examples; 2.7 Elements of statistical estimation; 2.7.1 Observation of SMP sample path; 2.7.2 Empirical estimators; 2.7.3 Nonparametric estimators of kernel elements densities; 2.8 Nonhomogeneous Semi-Markov process; Chapter 3:Characteristics and parameters of SMP; 3.1 First passage time to subset of states; 3.2 Interval transition probabilities | |
| 505 | 8 | |a 3.2.1 Interval transition probabilities for alternating process3.2.2 Interval transition probabilities for Poisson process; 3.2.3 Interval transition probabilities for Furry-Yule process; 3.3 The limiting probabilities; 3.4 Reliability and maintainability characteristics; 3.4.1 Reliability function and parameters of the system; 3.4.2 Pointwise availability; 3.4.3 Maintainability function and parameters of the system; 3.5 Numerical illustrative example; 3.5.1 Description and assumptions; 3.5.2 Model construction; 3.5.3 Reliability characteristics and parameters | |
| 505 | 8 | |a 3.5.4 Numerical illustrative exampleChapter 4:Perturbed Semi-Markov processes; 4.1 Introduction; 4.2 Shpak concept; 4.3 Pavlov and Ushakov concept; 4.4 Korolyuk and Turbin concept; 4.5 Exemplary approximation of the system reliability function; 4.5.1 Numerical illustrative example; 4.6 State space aggregation method; 4.7 Remarks on advanced perturbed Semi-Markov processes; Chapter 5:Stochastic processes associated with the SM process; 5.1 The renewal process generated by return times; 5.1.1 Characteristics and parameters; 5.2 Limiting distribution of the process | |
| 505 | 8 | |a 5.3 Additive functionals of the alternating process5.4 Additive functionals of the Semi-Markov process; Chapter 6:SM models of renewable cold standby system; 6.1 Two different units of cold standby system with switch; 6.1.1 Introduction; 6.1.2 Description and assumptions; 6.1.3 Construction of Semi-Markov reliability model; 6.1.4 Reliability characteristics; 6.1.5 An approximate reliability function; 6.1.6 Illustrative numerical examples; 6.1.7 Conclusions; 6.2 Technical example; 6.2.1 Assumptions; 6.2.2 Model construction; 6.2.3 Reliability characteristic | |
| 650 | 0 | |a Reliability (Engineering) |x Statistical methods. | |
| 650 | 0 | |a Markov processes. | |
| 650 | 2 | |a Markov Chains |0 (DNLM)D008390 | |
| 650 | 6 | |a Processus de Markov. |0 (CaQQLa)201-0024070 | |
| 650 | 7 | |a TECHNOLOGY & ENGINEERING |x Engineering (General) |2 bisacsh | |
| 650 | 7 | |a TECHNOLOGY & ENGINEERING |x Reference. |2 bisacsh | |
| 650 | 7 | |a Markov processes |2 fast |0 (OCoLC)fst01010347 | |
| 650 | 7 | |a Reliability (Engineering) |x Statistical methods |2 fast |0 (OCoLC)fst01093658 | |
| 776 | 0 | 8 | |i Print version: |a Grabski, Franciszek. |t Semi-Markov processes |z 9780128005187 |w (OCoLC)890251756 |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9780128005187 |z Texto completo |