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Stochastic Modeling For Reliability

Stochastic Modeling for Reliability PDF

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Author: Maxim Finkelstein
Publisher: Springer Science & Business Media
ISBN: 1447150287
Size: 69.74 MB
Format: PDF, ePub
Category : Technology & Engineering
Languages : en
Pages : 388
View: 379


Focusing on shocks modeling, burn-in and heterogeneous populations, Stochastic Modeling for Reliability naturally combines these three topics in the unified stochastic framework and presents numerous practical examples that illustrate recent theoretical findings of the authors. The populations of manufactured items in industry are usually heterogeneous. However, the conventional reliability analysis is performed under the implicit assumption of homogeneity, which can result in distortion of the corresponding reliability indices and various misconceptions. Stochastic Modeling for Reliability fills this gap and presents the basics and further developments of reliability theory for heterogeneous populations. Specifically, the authors consider burn-in as a method of elimination of ‘weak’ items from heterogeneous populations. The real life objects are operating in a changing environment. One of the ways to model an impact of this environment is via the external shocks occurring in accordance with some stochastic point processes. The basic theory for Poisson shock processes is developed and also shocks as a method of burn-in and of the environmental stress screening for manufactured items are considered. Stochastic Modeling for Reliability introduces and explores the concept of burn-in in heterogeneous populations and its recent development, providing a sound reference for reliability engineers, applied mathematicians, product managers and manufacturers alike.

Failure Rate Modelling For Reliability And Risk

Failure Rate Modelling for Reliability and Risk PDF

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Author: Maxim Finkelstein
Publisher: Springer Science & Business Media
ISBN: 1848009860
Size: 36.63 MB
Format: PDF, Docs
Category : Technology & Engineering
Languages : en
Pages : 290
View: 5229


“Failure Rate Modeling for Reliability and Risk” focuses on reliability theory, and to the failure rate (hazard rate, force of mortality) modeling and its generalizations to systems operating in a random environment and to repairable systems. The failure rate is one of the crucial probabilistic characteristics for a number of disciplines; including reliability, survival analysis, risk analysis and demography. The book presents a systematic study of the failure rate and related indices, and covers a number of important applications where the failure rate plays the major role. Applications in engineering systems are studied, together with some actuarial, biological and demographic examples. The book provides a survey of this broad and interdisciplinary subject which will be invaluable to researchers and advanced students in reliability engineering and applied statistics, as well as to demographers, econometricians, actuaries and many other mathematically oriented researchers.

Stochastic Models In Reliability

Stochastic Models in Reliability PDF

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Author: Terje Aven
Publisher: Springer Science & Business Media
ISBN: 0387225935
Size: 77.40 MB
Format: PDF, ePub
Category : Mathematics
Languages : en
Pages : 271
View: 747


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.

Stochastic System Reliability Modeling

Stochastic System Reliability Modeling PDF

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Author: Shunji Osaki
Publisher: World Scientific
ISBN: 9789971978563
Size: 19.22 MB
Format: PDF, ePub
Category : Technology & Engineering
Languages : en
Pages : 285
View: 2405


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.

Evaluation Of Stochastic Models For Estimating The Persistence Probability Of Cloud Free Lines Of Sight

Evaluation of Stochastic Models for Estimating the Persistence Probability of Cloud Free Lines of Sight PDF

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Author: Wayne Schroeder Hering
Publisher:
ISBN:
Size: 14.72 MB
Format: PDF, Docs
Category : Atmosphere
Languages : en
Pages : 21
View: 3158


Stochastic models, based upon the Ornstein-Uhlenbeck (O-U) class of the simple Markov process have been used effectively to estimate the conditional probability of a variety of weather events (Gringorten, 1972). This study is directed toward extension of the analytical form of the O-U Markov model to yield estimates of the joint occurrence probability and duration of sky cover and cloud free lines of sight (CFLOS). As a first step, model estimates are made of the recurrence probability of CFLOS for specific categories of sky cover in tenths as a function of time. Then model calculations are made for the persistence probability of CFLOS and sky cover as a function of sky-cover category and time using an analytical representation of the mathematic solution of persistence probability for the O-U Markov process given by Kielson and Ross (1975). The model calculations of CLFOS recurrence and persistence are compared with the Columbia, MO, data base (Lund, 1973). Again using an analytical form of the O-U Markov model, calculations are made of the joint occurrence probability of sky-cover at two or more sites and compared with the observations from the central United States. Finally, analytic techniques are presented for calculating probability estimates of the duration of cloud-free or cloudy lines of sight from one or multiple ground sites to points in space. Trial calculations based upon climatic summaries of sky-cover are made for a selected group of sites in south western United States.

Stability Problems For Stochastic Models

Stability Problems for Stochastic Models PDF

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Author: V. M. Zolotarev
Publisher:
ISBN:
Size: 57.66 MB
Format: PDF, ePub, Docs
Category :
Languages : en
Pages : 312
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Stochastic Models In Reliability Engineering

Stochastic Models in Reliability Engineering PDF

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Author: Lirong Cui
Publisher: CRC Press
ISBN: 1000094618
Size: 80.10 MB
Format: PDF, ePub, Mobi
Category : Mathematics
Languages : en
Pages : 464
View: 3581


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.

Point Processes For Reliability Analysis

Point Processes for Reliability Analysis PDF

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Author: Ji Hwan Cha
Publisher: Springer
ISBN: 3319735403
Size: 41.54 MB
Format: PDF, Mobi
Category : Technology & Engineering
Languages : en
Pages : 419
View: 2758


Focusing on the theory and applications of point processes, Point Processes for Reliability Analysis naturally combines classical results on the basic and advanced properties of point processes with recent theoretical findings of the authors. It also presents numerous examples that illustrate how general results and approaches are applied to stochastic description of repairable systems and systems operating in a random environment modelled by shock processes. The real life objects are operating in a changing, random environment. One of the ways to model an impact of this environment is via the external shocks occurring in accordance with some stochastic point processes. The Poisson (homogeneous and nonhomogeneous) process, the renewal process and their generalizations are considered as models for external shocks affecting an operating system. At the same time these processes model the consecutive failure/repair times of repairable engineering systems. Perfect, minimal and intermediate (imperfect) repairs are discussed in this respect. Covering material previously available only in the journal literature, Point Processes for Reliability Analysis provides a survey of recent developments in this area which will be invaluable to researchers and advanced students in reliability engineering and applied mathematics.

Deutsche Nationalbibliographie Und Bibliographie Der Im Ausland Erschienenen Deutschsprachigen Ver Ffentlichungen

Deutsche Nationalbibliographie und Bibliographie der im Ausland erschienenen deutschsprachigen Ver  ffentlichungen PDF

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Author:
Publisher:
ISBN:
Size: 31.40 MB
Format: PDF, Docs
Category : Austria
Languages : de
Pages :
View: 277



Stochastic Models In Reliability And Maintenance

Stochastic Models in Reliability and Maintenance PDF

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Author: Shunji Osaki
Publisher: Springer Science & Business Media
ISBN: 3540248080
Size: 45.61 MB
Format: PDF, Kindle
Category : Mathematics
Languages : en
Pages : 338
View: 2007


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 Modeling Of The Rainfall Runoff Process For Nonpoint Source Pollutant Load Estimation

Stochastic Modeling of the Rainfall Runoff process for Nonpoint Source Pollutant Load Estimation PDF

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Author: Michael A. Collins
Publisher:
ISBN:
Size: 44.77 MB
Format: PDF, ePub, Mobi
Category : Nonpoint source pollution
Languages : en
Pages : 83
View: 2054



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