Semi-Markov Processes

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Author :
Publisher : Elsevier
ISBN 13 : 0128006595
Total Pages : 270 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis Semi-Markov Processes by : Franciszek Grabski

Download or read book Semi-Markov Processes written by Franciszek Grabski and published by Elsevier. This book was released on 2014-09-25 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: Semi-Markov Processes: Applications in System Reliability and Maintenance is a modern view of discrete state space and continuous time semi-Markov processes and their applications in reliability and maintenance. The book explains how to construct semi-Markov models and discusses the different reliability parameters and characteristics that can be obtained from those models. The book is a useful resource for mathematicians, engineering practitioners, and PhD and MSc students who want to understand the basic concepts and results of semi-Markov process theory. Clearly defines the properties and theorems from discrete state Semi-Markov Process (SMP) theory Describes the method behind constructing Semi-Markov (SM) models and SM decision models in the field of reliability and maintenance Provides numerous individual versions of SM models, including the most recent and their impact on system reliability and maintenance

Semi-Markov Models and Applications

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1461332885
Total Pages : 403 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Semi-Markov Models and Applications by : Jacques Janssen

Download or read book Semi-Markov Models and Applications written by Jacques Janssen and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a selection of papers presented to the Second Inter national Symposium on Semi-Markov Models: Theory and Applications held in Compiegne (France) in December 1998. This international meeting had the same aim as the first one held in Brussels in 1984 : to make, fourteen years later, the state of the art in the field of semi-Markov processes and their applications, bring together researchers in this field and also to stimulate fruitful discussions. The set of the subjects of the papers presented in Compiegne has a lot of similarities with the preceding Symposium; this shows that the main fields of semi-Markov processes are now well established particularly for basic applications in Reliability and Maintenance, Biomedicine, Queue ing, Control processes and production. A growing field is the one of insurance and finance but this is not really a surprising fact as the problem of pricing derivative products represents now a crucial problem in economics and finance. For example, stochastic models can be applied to financial and insur ance models as we have to evaluate the uncertainty of the future market behavior in order, firstly, to propose different measures for important risks such as the interest risk, the risk of default or the risk of catas trophe and secondly, to describe how to act in order to optimize the situation in time. Recently, the concept of VaR (Value at Risk) was "discovered" in portfolio theory enlarging so the fundamental model of Markowitz.

Recent Advances in Multi-state Systems Reliability

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Publisher : Springer
ISBN 13 : 3319634232
Total Pages : 373 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Recent Advances in Multi-state Systems Reliability by : Anatoly Lisnianski

Download or read book Recent Advances in Multi-state Systems Reliability written by Anatoly Lisnianski and published by Springer. This book was released on 2017-08-12 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses a modern topic in reliability: multi-state and continuous-state system reliability, which has been intensively developed in recent years. It offers an up-to-date overview of the latest developments in reliability theory for multi-state systems, engineering applications to a variety of technical problems, and case studies that will be of interest to reliability engineers and industrial managers. It also covers corresponding theoretical issues, as well as case studies illustrating the applications of the corresponding theoretical advances. The book is divided into two parts: Modern Mathematical Methods for Multi-state System Reliability Analysis (Part 1), and Applications and Case Studies (Part 2), which examines real-world multi-state systems. It will greatly benefit scientists and researchers working in reliability, as well as practitioners and managers with an interest in reliability and performability analysis. It can also be used as a textbook or as a supporting text for postgraduate courses in Industrial Engineering, Electrical Engineering, Mechanical Engineering, Applied Mathematics, and Operations Research.

Multi-State System Reliability

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Publisher : World Scientific Publishing Company
ISBN 13 : 981310614X
Total Pages : 376 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis Multi-State System Reliability by : Anatoly Lisnianski

Download or read book Multi-State System Reliability written by Anatoly Lisnianski and published by World Scientific Publishing Company. This book was released on 2003-03-12 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most books on reliability theory are devoted to traditional binary reliability models allowing for only two possible states for a system and its components: perfect functionality and complete failure. However, many real-world systems are composed of multi-state components, which have different performance levels and several failure modes with various effects on the entire system performance (degradation). Such systems are called Multi-State Systems (MSS). The examples of MSS are power systems where the component performance is characterized by the generating capacity, computer systems where the component performance is characterized by the data processing speed, communication systems, etc. This book is the first to be devoted to Multi-State System (MSS) reliability analysis and optimization. It provides a historical overview of the field, presents basic concepts of MSS, defines MSS reliability measures, and systematically describes the tools for MSS reliability assessment and optimization. Basic methods for MSS reliability assessment, such as a Boolean methods extension, basic random process methods (both Markov and semi-Markov) and universal generating function models, are systematically studied. A universal genetic algorithm optimization technique and all details of its application are described. All the methods are illustrated by numerical examples. The book also contains many examples of application of reliability assessment and optimization methods to real engineering problems. The aim of this book is to give a comprehensive, up-to-date presentation of MSS reliability theory based on modern advances in this field and provide a theoretical summary and examples of engineering applications to a variety of technical problems. From this point of view the book bridges the gap between theoretical advances and practical reliability engineering.

Semi-Markov Processes and Reliability

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Publisher : Springer Science & Business Media
ISBN 13 : 1461201616
Total Pages : 226 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Semi-Markov Processes and Reliability by : N. Limnios

Download or read book Semi-Markov Processes and Reliability written by N. Limnios and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: At first there was the Markov property. The theory of stochastic processes, which can be considered as an exten sion of probability theory, allows the modeling of the evolution of systems through the time. It cannot be properly understood just as pure mathemat ics, separated from the body of experience and examples that have brought it to life. The theory of stochastic processes entered a period of intensive develop ment, which is not finished yet, when the idea of the Markov property was brought in. Not even a serious study of the renewal processes is possible without using the strong tool of Markov processes. The modern theory of Markov processes has its origins in the studies by A. A: Markov (1856-1922) of sequences of experiments "connected in a chain" and in the attempts to describe mathematically the physical phenomenon known as Brownian mo tion. Later, many generalizations (in fact all kinds of weakenings of the Markov property) of Markov type stochastic processes were proposed. Some of them have led to new classes of stochastic processes and useful applications. Let us mention some of them: systems with complete connections [90, 91, 45, 86]; K-dependent Markov processes [44]; semi-Markov processes, and so forth. The semi-Markov processes generalize the renewal processes as well as the Markov jump processes and have numerous applications, especially in relia bility.

Recent Advances in System Reliability

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Publisher : Springer Science & Business Media
ISBN 13 : 1447122070
Total Pages : 323 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Recent Advances in System Reliability by : Anatoly Lisnianski

Download or read book Recent Advances in System Reliability written by Anatoly Lisnianski and published by Springer Science & Business Media. This book was released on 2011-10-01 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent Advances in System Reliability discusses developments in modern reliability theory such as signatures, multi-state systems and statistical inference. It describes the latest achievements in these fields, and covers the application of these achievements to reliability engineering practice. The chapters cover a wide range of new theoretical subjects and have been written by leading experts in reliability theory and its applications. The topics include: concepts and different definitions of signatures (D-spectra), their properties and applications to reliability of coherent systems and network-type structures; Lz-transform of Markov stochastic process and its application to multi-state system reliability analysis; methods for cost-reliability and cost-availability analysis of multi-state systems; optimal replacement and protection strategy; and statistical inference. Recent Advances in System Reliability presents many examples to illustrate the theoretical results. Real world multi-state systems, such as power generation and transmission, refrigeration, and production systems, are considered in the form of case studies, making the book a useful resource for researchers and postgraduate students.

Stochastic Models in Reliability and Maintenance

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540431336
Total Pages : 362 pages
Book Rating : 4.4/5 (313 download)

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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 and published by Springer Science & Business Media. This book was released on 2002-04 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains 12 contributions on stochastic models in reliability and maintenance. Written by the leading researchers on each topic, each contribution surveys the current status on stochastic models emphasizing mathematical formulation and optimization applications. Each contribution is self-contained and has a thorough bibliography. The topics include renewal processes, semi-Markov processes, Markovian deterioration models, maintenance and replacement models, software reliability models and Monte-Carlo simulation. This book provides researchers, reliability engineers and graduate students with the current status of the field and future developments of the subject.

Modeling for Reliability Analysis

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Publisher : John Wiley & Sons
ISBN 13 : 0780334825
Total Pages : 290 pages
Book Rating : 4.7/5 (83 download)

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Book Synopsis Modeling for Reliability Analysis by : Jan Pukite

Download or read book Modeling for Reliability Analysis written by Jan Pukite and published by John Wiley & Sons. This book was released on 1998-06-22 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Markov modeling has long been accepted as a fundamental and powerful technique for the fault tolerance analysis of mission-critical applications. However, the elaborate computations required have often made Markov modeling too time-consuming to be of practical use on these complex systems. With this hands-on tool, designers can use the Markov modeling technique to analyze safety, reliability, maintainability, and cost-effectiveness factors in the full range of complex systems in use today. Featuring ground-breaking simulation software and a comprehensive reference manual, MARKOV MODELING FOR RELIABILITY ANALYSIS helps system designers surmount the mathematical computations that have previously prevented effective reliability analysis. The text and software compose a valuable self-study tool that is complete with detailed explanations, examples, and a library of Markov models that can be used for experiments and as derivations for new simulation models. The book details how these analyses are conducted, while providing hands-on instruction on how to develop reliability models for the full range of system configurations. Computer-Aided Rate Modeling and Simulation (CARMS) software is an integrated modeling tool that includes a diagram-based environment for model setup, a spreadsheet like interface for data entry, an expert system link for automatic model construction, and an interactive graphic interface for displaying simulation results."

Stochastic Processes

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Publisher : Springer Science & Business Media
ISBN 13 : 0857292749
Total Pages : 254 pages
Book Rating : 4.8/5 (572 download)

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Book Synopsis Stochastic Processes by : Toshio Nakagawa

Download or read book Stochastic Processes written by Toshio Nakagawa and published by Springer Science & Business Media. This book was released on 2011-05-27 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Multi-state System Reliability Analysis and Optimization for Engineers and Industrial Managers

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Publisher : Springer Science & Business Media
ISBN 13 : 1849963207
Total Pages : 393 pages
Book Rating : 4.8/5 (499 download)

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Book Synopsis Multi-state System Reliability Analysis and Optimization for Engineers and Industrial Managers by : Anatoly Lisnianski

Download or read book Multi-state System Reliability Analysis and Optimization for Engineers and Industrial Managers written by Anatoly Lisnianski and published by Springer Science & Business Media. This book was released on 2010-08-02 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multi-state System Reliability Analysis and Optimization for Engineers and Industrial Managers presents a comprehensive, up-to-date description of multi-state system (MSS) reliability as a natural extension of classical binary-state reliability. It presents all essential theoretical achievements in the field, but is also practically oriented. New theoretical issues are described, including: • combined Markov and semi-Markov processes methods, and universal generating function techniques; • statistical data processing for MSSs; • reliability analysis of aging MSSs; • methods for cost-reliability and cost-availability analysis of MSSs; and • main definitions and concepts of fuzzy MSS. Multi-state System Reliability Analysis and Optimization for Engineers and Industrial Managers also discusses life cycle cost analysis and practical optimal decision making for real world MSSs. Numerous examples are included in each section in order to illustrate mathematical tools. Besides these examples, real world MSSs (such as power generating and transmission systems, air-conditioning systems, production systems, etc.) are considered as case studies. Multi-state System Reliability Analysis and Optimization for Engineers and Industrial Managers also describes basic concepts of MSS, MSS reliability measures and tools for MSS reliability assessment and optimization. It is a self-contained study resource and does not require prior knowledge from its readers, making the book attractive for researchers as well as for practical engineers and industrial managers.

Theory and Applications of Dependable Computer Systems

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Publisher : Springer Nature
ISBN 13 : 3030482561
Total Pages : 730 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Theory and Applications of Dependable Computer Systems by : Wojciech Zamojski

Download or read book Theory and Applications of Dependable Computer Systems written by Wojciech Zamojski and published by Springer Nature. This book was released on 2020-05-21 with total page 730 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents selected papers from the Fifteenth International Conference on Dependability of Computer Systems (DepCoS-RELCOMEX), which illustrate the diversity of theoretical problems in analysis of performability, reliability and security of contemporary computer systems. Covering also methodologies and practical tools involved in this field, it is a valuable reference resource for scientists, researchers, practitioners and students who are dealing with these subjects. Established in 2006, DepCoS-RELCOMEX is an annual conference series organised by Wrocław University of Science and Technology. It focuses on the dependability and performability of contemporary computer systems – topics that can provide solutions to new challenges in evaluation of their reliability and efficiency. Since they are probably the most complex technical systems ever engineered by humans, the organization of modern computer systems cannot be modelled and analysed solely as structures (however complex and distributed) built only on the basis of technical resources. Instead they should be considered as a unique blend of interacting people (their needs and behaviours), networks (together with mobile properties, iCloud organisation, Internet of Everything) and a large number of users dispersed geographically and producing an unimaginable number of applications. This new, interdisciplinary approach is developing a continually increasing range of methods which apply also the latest findings in artificial intelligence (AI) and computational intelligence (CI).

Estimation of Reliability of Repairable Semi-Markov Systems with Finite State Space

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Publisher : Wiley-Blackwell
ISBN 13 : 9781848218901
Total Pages : pages
Book Rating : 4.2/5 (189 download)

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Book Synopsis Estimation of Reliability of Repairable Semi-Markov Systems with Finite State Space by : Limnios

Download or read book Estimation of Reliability of Repairable Semi-Markov Systems with Finite State Space written by Limnios and published by Wiley-Blackwell. This book was released on 2016-08-17 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

System Reliability Theory

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Publisher : John Wiley & Sons
ISBN 13 : 1119373956
Total Pages : 864 pages
Book Rating : 4.1/5 (193 download)

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Book Synopsis System Reliability Theory by : Marvin Rausand

Download or read book System Reliability Theory written by Marvin Rausand and published by John Wiley & Sons. This book was released on 2020-10-20 with total page 864 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook and reference for industrial statisticians and system reliability engineers System Reliability Theory: Models, Statistical Methods, and Applications, Third Edition presents an updated and revised look at system reliability theory, modeling, and analytical methods. The new edition is based on feedback to the second edition from numerous students, professors, researchers, and industries around the world. New sections and chapters are added together with new real-world industry examples, and standards and problems are revised and updated. System Reliability Theory covers a broad and deep array of system reliability topics, including: · In depth discussion of failures and failure modes · The main system reliability assessment methods · Common-cause failure modeling · Deterioration modeling · Maintenance modeling and assessment using Python code · Bayesian probability and methods · Life data analysis using R Perfect for undergraduate and graduate students taking courses in reliability engineering, this book also serves as a reference and resource for practicing statisticians and engineers. Throughout, the book has a practical focus, incorporating industry feedback and real-world industry problems and examples.

Nonlinearly Perturbed Semi-Markov Processes

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Publisher : Springer
ISBN 13 : 3319609882
Total Pages : 143 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Nonlinearly Perturbed Semi-Markov Processes by : Dmitrii Silvestrov

Download or read book Nonlinearly Perturbed Semi-Markov Processes written by Dmitrii Silvestrov and published by Springer. This book was released on 2017-09-06 with total page 143 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents new methods of asymptotic analysis for nonlinearly perturbed semi-Markov processes with a finite phase space. These methods are based on special time-space screening procedures for sequential phase space reduction of semi-Markov processes combined with the systematical use of operational calculus for Laurent asymptotic expansions. Effective recurrent algorithms are composed for getting asymptotic expansions, without and with explicit upper bounds for remainders, for power moments of hitting times, stationary and conditional quasi-stationary distributions for nonlinearly perturbed semi-Markov processes. These results are illustrated by asymptotic expansions for birth-death-type semi-Markov processes, which play an important role in various applications. The book will be a useful contribution to the continuing intensive studies in the area. It is an essential reference for theoretical and applied researchers in the field of stochastic processes and their applications that will contribute to continuing extensive studies in the area and remain relevant for years to come.

On the Use of Stochastic Processes in Modeling Reliability Problems

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Publisher : Springer Science & Business Media
ISBN 13 : 3642465536
Total Pages : 113 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis On the Use of Stochastic Processes in Modeling Reliability Problems by : Alessandro Birolini

Download or read book On the Use of Stochastic Processes in Modeling Reliability Problems written by Alessandro Birolini and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Safety and Reliability. Theory and Applications

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Publisher : CRC Press
ISBN 13 : 1351809725
Total Pages : 540 pages
Book Rating : 4.3/5 (518 download)

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Book Synopsis Safety and Reliability. Theory and Applications by : Marko Cepin

Download or read book Safety and Reliability. Theory and Applications written by Marko Cepin and published by CRC Press. This book was released on 2017-06-14 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: Safety and Reliability – Theory and Applications contains the contributions presented at the 27th European Safety and Reliability Conference (ESREL 2017, Portorož, Slovenia, June 18-22, 2017). The book covers a wide range of topics, including: • Accident and Incident modelling • Economic Analysis in Risk Management • Foundational Issues in Risk Assessment and Management • Human Factors and Human Reliability • Maintenance Modeling and Applications • Mathematical Methods in Reliability and Safety • Prognostics and System Health Management • Resilience Engineering • Risk Assessment • Risk Management • Simulation for Safety and Reliability Analysis • Structural Reliability • System Reliability, and • Uncertainty Analysis. Selected special sessions include contributions on: the Marie Skłodowska-Curie innovative training network in structural safety; risk approaches in insurance and fi nance sectors; dynamic reliability and probabilistic safety assessment; Bayesian and statistical methods, reliability data and testing; oganizational factors and safety culture; software reliability and safety; probabilistic methods applied to power systems; socio-technical-economic systems; advanced safety assessment methodologies: extended Probabilistic Safety Assessment; reliability; availability; maintainability and safety in railways: theory & practice; big data risk analysis and management, and model-based reliability and safety engineering. Safety and Reliability – Theory and Applications will be of interest to professionals and academics working in a wide range of industrial and governmental sectors including: Aeronautics and Aerospace, Automotive Engineering, Civil Engineering, Electrical and Electronic Engineering, Energy Production and Distribution, Environmental Engineering, Information Technology and Telecommunications, Critical Infrastructures, Insurance and Finance, Manufacturing, Marine Industry, Mechanical Engineering, Natural Hazards, Nuclear Engineering, Offshore Oil and Gas, Security and Protection, Transportation, and Policy Making.

Reliability Engineering

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Publisher : Springer Science & Business Media
ISBN 13 : 3540493905
Total Pages : 588 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Reliability Engineering by : Alessandro Birolini

Download or read book Reliability Engineering written by Alessandro Birolini and published by Springer Science & Business Media. This book was released on 2007-08-15 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the state-of-the-art of reliability engineering, both in theory and practice. It provides design guidelines for reliability, maintainability, and software quality. This is a textbook establishing a link between theory and practice, with a large number of tables, figures, and examples to support the practical aspects. This allows rapid access to practical results. The book is based on over 30 years of industrial and academic experience.