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Discrete Stochastic Models and Applications for Reliability Engineering and Statistical Quality Control [Kõva köide]

(Atilim University Rektorluk, Ankara)
  • Formaat: Hardback, 170 pages, kõrgus x laius: 234x156 mm, kaal: 381 g, 4 Tables, black and white
  • Ilmumisaeg: 07-Sep-2022
  • Kirjastus: CRC Press
  • ISBN-10: 0367749831
  • ISBN-13: 9780367749835
Teised raamatud teemal:
Discrete Stochastic Models and Applications for Reliability Engineering and Statistical Quality ControlSuurem pilt
  • Formaat: Hardback, 170 pages, kõrgus x laius: 234x156 mm, kaal: 381 g, 4 Tables, black and white
  • Ilmumisaeg: 07-Sep-2022
  • Kirjastus: CRC Press
  • ISBN-10: 0367749831
  • ISBN-13: 9780367749835
Teised raamatud teemal:
Püsilink: https://www.kriso.ee/db/9780367749835.html
Märksõnad:
Discrete stochastic models are tools that allow us to understand, control, and optimize engineering systems and processes. This book provides real-life examples and illustrations of models in reliability engineering and statistical quality control and establishes a connection between the theoretical framework and their engineering applications.

The book describes discrete stochastic models along with real-life examples and explores not only well-known models, but also comparatively lesser known ones. It includes definitions, concepts, and methods with a clear understanding of their use in reliability engineering and statistical quality control fields. Also covered are the recent advances and established connections between the theoretical framework of discrete stochastic models and their engineering applications.

An ideal reference for researchers in academia and graduate students working in the fields of operations research, reliability engineering, quality control, and probability and statistics.
Preface ix
Author Biography xi
Chapter 1 An Overview of Discrete Stochastic Modeling
1(16)
1.1 Discrete random variable
1(5)
1.2 Conditioning
6(2)
1.3 Discretization
8(1)
1.4 Combinatorial methods
9(2)
1.5 Recursive equations
11(1)
1.6 Simulation
12(5)
Chapter 2 Discrete Probability Distributions
17(26)
2.1 Binomial model
17(5)
2.2 Waiting time models
22(6)
2.3 Poisson model
28(3)
2.4 Compound models
31(2)
2.5 Models via discretization of continuous distributions
33(1)
2.6 Bivariate binomial and geometric models
34(3)
2.7 Discrete reliability indices
37(2)
2.8 Discrete renewal process
39(4)
Chapter 3 Markov Chains
43(20)
3.1 Markov binomial model
51(2)
3.2 Simulation of a Markov chain
53(4)
3.3 Testing the order of Markov dependence
57(2)
3.4 Markov chain with a change point
59(4)
Chapter 4 Phase-type Distributions
63(22)
4.1 Definition and characteristics
63(8)
4.2 Closure and other properties
71(10)
4.3 Bivariate phase-type distributions
81(4)
Chapter 5 Matrix-geometric Distributions
85(16)
5.1 Definition and characteristics
85(2)
5.2 Properties
87(6)
5.3 Two-unit cold standby repairable system via matrix-geometric distributions
93(8)
Chapter 6 Some Particular Models/Classes of Discrete Distributions
101(12)
6.1 Order statistics
101(3)
6.2 System signature
104(4)
6.3 Power series class of distributions
108(1)
6.4 Panjer's family of distributions
109(4)
Chapter 7 Other Discrete Stochastic Models Involving Dependency
113(10)
7.1 Exchangeable dependence
113(5)
7.2 Previous-sum dependent model
118(1)
7.3 The distribution of the number of successes
119(1)
7.4 m-dependent sequence of random variables
120(3)
Chapter 8 Applications
123(46)
8.1 System reliability models
123(22)
8.2 Shock models
145(6)
8.3 Age replacement policies
151(3)
8.4 Quality control
154(6)
8.5 Start-up demonstration tests
160(9)
Index 169
Serkan Eryilmaz completed his Ph.D. at Ankara University (Turkey) in 2002. He is currently working as a professor at Department of Industrial Engineering and serving as vice president for research at Atilim University, Ankara. He is the present co-chair of the System Reliability Technical Committee of the European Safety and Reliability Association. He currently serves as a member of the Editorial Board of Reliability Engineering and System Safety and an Area Editor of the IISE Transactions- Quality & Reliability Engineering. His research interests include reliability engineering, applied probability, stochastic modeling and renewable energy systems. He is the author of more than 180 publications. He was honored by TUBITAK (Scientific and Technological Research Council of Turkey) Science Incentive Award due to his highly qualified studies on system reliability in the field of stochastic models/ processes in operations research.