Stochastic Methods in Reliability Theory

Stochastic Methods in Reliability Theory PDF Author: N. Ravichandran
Publisher: John Wiley & Sons
ISBN:
Category : Mathematics
Languages : en
Pages : 218

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Book Description

Stochastic Methods in Reliability Theory

Stochastic Methods in Reliability Theory PDF Author: N. Ravichandran
Publisher: John Wiley & Sons
ISBN:
Category : Mathematics
Languages : en
Pages : 218

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Book Description


Stochastic Processes

Stochastic Processes PDF Author: Toshio Nakagawa
Publisher: Springer Science & Business Media
ISBN: 0857292749
Category : Technology & Engineering
Languages : en
Pages : 254

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Book Description
Reliability theory is of fundamental importance for engineers and managers involved in the manufacture of high-quality products and the design of reliable systems. In order to make sense of the theory, however, and to apply it to real systems, an understanding of the basic stochastic processes is indispensable. As well as providing readers with useful reliability studies and applications, Stochastic Processes also gives a basic treatment of such stochastic processes as: the Poisson process, the renewal process, the Markov chain, the Markov process, and the Markov renewal process. Many examples are cited from reliability models to show the reader how to apply stochastic processes. Furthermore, Stochastic Processes gives a simple introduction to other stochastic processes such as the cumulative process, the Wiener process, the Brownian motion and reliability applications. Stochastic Processes is suitable for use as a reliability textbook by advanced undergraduate and graduate students. It is also of interest to researchers, engineers and managers who study or practise reliability and maintenance.

Stochastic Models in Reliability and Maintenance

Stochastic Models in Reliability and Maintenance PDF Author: Shunji Osaki
Publisher: Springer Science & Business Media
ISBN: 3540248080
Category : Mathematics
Languages : en
Pages : 338

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Book Description
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.

Stochastic Methods in Reliability Theory

Stochastic Methods in Reliability Theory PDF Author: N. Ravichandran
Publisher: Wiley-Interscience
ISBN: 9780470216811
Category : Mathematics
Languages : en
Pages : 201

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Book Description
Presents various stochastic models that are used in the reliability analysis of redundant repairable systems. Discusses the application of stochastic problems in evaluating several important operating characteristics of the system from the viewpoint of model building and numerical amputation of end results. Many results in this area are summarized with an emphasis on the stochastic modeling of these systems and detailed discussions of computational aspects.

Stochastic Models in Reliability Engineering

Stochastic Models in Reliability Engineering PDF Author: Lirong Cui
Publisher: CRC Press
ISBN: 1000094618
Category : Mathematics
Languages : en
Pages : 376

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Book Description
This book is a collective work by many leading scientists, analysts, mathematicians, and engineers who have been working at the front end of reliability science and engineering. The book covers conventional and contemporary topics in reliability science, all of which have seen extended research activities in recent years. The methods presented in this book are real-world examples that demonstrate improvements in essential reliability and availability for industrial equipment such as medical magnetic resonance imaging, power systems, traction drives for a search and rescue helicopter, and air conditioning systems. The book presents real case studies of redundant multi-state air conditioning systems for chemical laboratories and covers assessments of reliability and fault tolerance and availability calculations. Conventional and contemporary topics in reliability engineering are discussed, including degradation, networks, and dynamic reliability, resilience, and multi-state systems, all of which are relatively new topics to the field. The book is aimed at engineers and scientists, as well as postgraduate students involved in reliability design, analysis, and experiments and applied probability and statistics.

System Reliability Theory

System Reliability Theory PDF Author: Arnljot Høyland
Publisher: John Wiley & Sons
ISBN: 0470317744
Category : Technology & Engineering
Languages : en
Pages : 536

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Book Description
A comprehensive introduction to reliability analysis. The first section provides a thorough but elementary prologue to reliability theory. The latter half comprises more advanced analytical tools including Markov processes, renewal theory, life data analysis, accelerated life testing and Bayesian reliability analysis. Features numerous worked examples. Each chapter concludes with a selection of problems plus additional material on applications.

Stochastic Reliability Modeling, Optimization and Applications

Stochastic Reliability Modeling, Optimization and Applications PDF Author: Syouji Nakamura
Publisher: World Scientific
ISBN: 9814277444
Category : Mathematics
Languages : en
Pages : 317

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Book Description
Aims to survey research topics in reliability theory and useful applied techniques in reliability engineering. This book focuses on how to apply the results of reliability theory to practical models. Theoretical results of coherent, inspection, and damage systems are summarized methodically, using the techniques of stochastic processes.

Stochastic Models in Reliability

Stochastic Models in Reliability PDF Author: Terje Aven
Publisher: Springer Science & Business Media
ISBN: 0387225935
Category : Mathematics
Languages : en
Pages : 271

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Book Description
A comprehensive up-to-date presentation of some of the classical areas of reliability, based on a more advanced probabilistic framework using the modern theory of stochastic processes. This framework allows analysts to formulate general failure models, establish formulae for computing various performance measures, as well as determine how to identify optimal replacement policies in complex situations.

On the Use of Stochastic Processes in Modeling Reliability Problems

On the Use of Stochastic Processes in Modeling Reliability Problems PDF Author: Alessandro Birolini
Publisher: Springer Science & Business Media
ISBN: 3642465536
Category : Business & Economics
Languages : en
Pages : 113

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Book Description
Stochastic processes are powerful tools for the investigation of reliability and availability of repairable equipment and systems. Because of the involved models, and in order to be mathematically tractable, these processes are generally confined to the class of regenerative stochastic processes with a finite state space, to which belong: renewal processes, Markov processes, semi-Markov processes, and more general regenerative processes with only one (or a few) regeneration staters). The object of this monograph is to review these processes and to use them in solving some reliability problems encountered in practical applications. Emphasis is given to a comprehensive exposition of the analytical procedures, to the limitations in volved, and to the unification and extension of. the models known in the literature. The models investigated here assume. that systems have only one repair crew and that no further failure can occur at system down. Repair and failure rates are general ized step-by-step, up to the case in which the involved process is regenerative with only one (or a few) regeneration state(s). Investigations deal with different kinds of reliabilities and availabilities for series/parallel structures. Preventive main tenance and imperfect switching are considered in some examples.

Stochastic Ageing and Dependence for Reliability

Stochastic Ageing and Dependence for Reliability PDF Author: Chin Diew Lai
Publisher: Springer Science & Business Media
ISBN: 038734232X
Category : Mathematics
Languages : en
Pages : 437

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Book Description
This book provides a panoramic view of theory and applications of Ageing and Dependence in the use of mathematical methods in reliability and survival analysis. Ageing and dependence are important characteristics in reliability and survival analysis. They affect decisions with regard to maintenance, repair/replacement, price setting, warranties, medical studies, and other areas. Most of the works containing the topics covered here are theoretical in nature. However, this book offers applications, exercises, and examples. It serves as a reference for professors and researchers involved in reliability and survival analysis.