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Stochastic System Reliability Modeling

1985 Technology & Engineering
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Release : 1985
Genre : Technology & Engineering
Kind : eBook
Book Rating : 563/5 ( reviews)

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Book Synopsis Stochastic System Reliability Modeling by : Shunji Osaki

Download or read book Stochastic System Reliability Modeling written by Shunji Osaki. This book was released on 1985. Available in PDF, EPUB and Kindle. Book excerpt: Probability theory. Stochastic processes. Markov renewal processes. Stochastic models for one-unit systems. Stochastic models for two-unit redundant systems. Stochastic models for fault-tolerant computing systems. Laplace-stieltjes transforms. Signal-flow graphs.

Stochastic System Reliability Modeling

1985 Reliability (Engineering)
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Release : 1985
Genre : Reliability (Engineering)
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Stochastic System Reliability Modeling by :

Download or read book Stochastic System Reliability Modeling written by . This book was released on 1985. Available in PDF, EPUB and Kindle. Book excerpt:

Stochastic System Reliability Modelling

1985-10-01 Mathematics
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Release : 1985-10-01
Genre : Mathematics
Kind : eBook
Book Rating : 198/5 ( reviews)

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Book Synopsis Stochastic System Reliability Modelling by : Shunji Osaki

Download or read book Stochastic System Reliability Modelling written by Shunji Osaki. This book was released on 1985-10-01. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to present an overview of stochastic system reliability modeling for undergraduate and graduate students, engineers and researchers. It is ideal as a one-semester undergraduate or graduate level text in reliability, applied stochastic processes, stochastic operations research and systems engineering. The topics are divided into two parts: The first part deals with probability theory and stochastic processes, which provide the basic ideas of applied stochastic processes and the second part treats their applications to system reliability modelling. Throughout the later half, Markov renewal processes are applied to formulating stochastic models for system reliability. Since a fairly intermediate level of mathematics is assumed two appendices on Laplace-Stieltjes transforms and signal flow graphs provide much background material. The text is pedagogically sound.

Applied Stochastic System Modeling

2012-12-06 Business & Economics
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Release : 2012-12-06
Genre : Business & Economics
Kind : eBook
Book Rating : 815/5 ( reviews)

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Book Synopsis Applied Stochastic System Modeling by : Shunji Osaki

Download or read book Applied Stochastic System Modeling written by Shunji Osaki. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: This book was written for an introductory one-semester or two-quarter course in stochastic processes and their applications. The reader is assumed to have a basic knowledge of analysis and linear algebra at an undergraduate level. Stochastic models are applied in many fields such as engineering systems, physics, biology, operations research, business, economics, psychology, and linguistics. Stochastic modeling is one of the promising kinds of modeling in applied probability theory. This book is intended to introduce basic stochastic processes: Poisson pro cesses, renewal processes, discrete-time Markov chains, continuous-time Markov chains, and Markov-renewal processes. These basic processes are introduced from the viewpoint of elementary mathematics without going into rigorous treatments. This book also introduces applied stochastic system modeling such as reliability and queueing modeling. Chapters 1 and 2 deal with probability theory, which is basic and prerequisite to the following chapters. Many important concepts of probabilities, random variables, and probability distributions are introduced. Chapter 3 develops the Poisson process, which is one of the basic and im portant stochastic processes. Chapter 4 presents the renewal process. Renewal theoretic arguments are then used to analyze applied stochastic models. Chapter 5 develops discrete-time Markov chains. Following Chapter 5, Chapter 6 deals with continuous-time Markov chains. Continuous-time Markov chains have im portant applications to queueing models as seen in Chapter 9. A one-semester course or two-quarter course consists of a brief review of Chapters 1 and 2, fol lowed in order by Chapters 3 through 6.

Stochastic Models in Reliability and Maintenance

2012-11-02 Mathematics
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Release : 2012-11-02
Genre : Mathematics
Kind : eBook
Book Rating : 080/5 ( reviews)

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Book Synopsis Stochastic Models in Reliability and Maintenance by : Shunji Osaki

Download or read book Stochastic Models in Reliability and Maintenance written by Shunji Osaki. This book was released on 2012-11-02. Available in PDF, EPUB and Kindle. Book excerpt: Our daily lives can be maintained by the high-technology systems. Computer systems are typical examples of such systems. We can enjoy our modern lives by using many computer systems. Much more importantly, we have to maintain such systems without failure, but cannot predict when such systems will fail and how to fix such systems without delay. A stochastic process is a set of outcomes of a random experiment indexed by time, and is one of the key tools needed to analyze the future behavior quantitatively. Reliability and maintainability technologies are of great interest and importance to the maintenance of such systems. Many mathematical models have been and will be proposed to describe reliability and maintainability systems by using the stochastic processes. The theme of this book is "Stochastic Models in Reliability and Main tainability. " This book consists of 12 chapters on the theme above from the different viewpoints of stochastic modeling. Chapter 1 is devoted to "Renewal Processes," under which classical renewal theory is surveyed and computa tional methods are described. Chapter 2 discusses "Stochastic Orders," and in it some definitions and concepts on stochastic orders are described and ag ing properties can be characterized by stochastic orders. Chapter 3 is devoted to "Classical Maintenance Models," under which the so-called age, block and other replacement models are surveyed. Chapter 4 discusses "Modeling Plant Maintenance," describing how maintenance practice can be carried out for plant maintenance.

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