Bayesian Statistical Decision Theory and Reliability-based Design

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Publisher :
ISBN 13 :
Total Pages : 22 pages
Book Rating : 4.:/5 (251 download)

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Book Synopsis Bayesian Statistical Decision Theory and Reliability-based Design by : C. Allin Cornell

Download or read book Bayesian Statistical Decision Theory and Reliability-based Design written by C. Allin Cornell and published by . This book was released on 1972 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Frontiers of Statistical Decision Making and Bayesian Analysis

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Publisher : Springer Science & Business Media
ISBN 13 : 1441969446
Total Pages : 631 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Frontiers of Statistical Decision Making and Bayesian Analysis by : Ming-Hui Chen

Download or read book Frontiers of Statistical Decision Making and Bayesian Analysis written by Ming-Hui Chen and published by Springer Science & Business Media. This book was released on 2010-07-24 with total page 631 pages. Available in PDF, EPUB and Kindle. Book excerpt: Research in Bayesian analysis and statistical decision theory is rapidly expanding and diversifying, making it increasingly more difficult for any single researcher to stay up to date on all current research frontiers. This book provides a review of current research challenges and opportunities. While the book can not exhaustively cover all current research areas, it does include some exemplary discussion of most research frontiers. Topics include objective Bayesian inference, shrinkage estimation and other decision based estimation, model selection and testing, nonparametric Bayes, the interface of Bayesian and frequentist inference, data mining and machine learning, methods for categorical and spatio-temporal data analysis and posterior simulation methods. Several major application areas are covered: computer models, Bayesian clinical trial design, epidemiology, phylogenetics, bioinformatics, climate modeling and applications in political science, finance and marketing. As a review of current research in Bayesian analysis the book presents a balance between theory and applications. The lack of a clear demarcation between theoretical and applied research is a reflection of the highly interdisciplinary and often applied nature of research in Bayesian statistics. The book is intended as an update for researchers in Bayesian statistics, including non-statisticians who make use of Bayesian inference to address substantive research questions in other fields. It would also be useful for graduate students and research scholars in statistics or biostatistics who wish to acquaint themselves with current research frontiers.

Bayesian Concepts for Reliability and Statistical Decision Theory for Structural Design

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Publisher :
ISBN 13 :
Total Pages : 304 pages
Book Rating : 4.:/5 (328 download)

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Book Synopsis Bayesian Concepts for Reliability and Statistical Decision Theory for Structural Design by : Hikmat F. Mahmood

Download or read book Bayesian Concepts for Reliability and Statistical Decision Theory for Structural Design written by Hikmat F. Mahmood and published by . This book was released on 1977 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Bayesian Reliability

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Publisher : Springer Science & Business Media
ISBN 13 : 0387779507
Total Pages : 445 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Bayesian Reliability by : Michael S. Hamada

Download or read book Bayesian Reliability written by Michael S. Hamada and published by Springer Science & Business Media. This book was released on 2008-08-15 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bayesian Reliability presents modern methods and techniques for analyzing reliability data from a Bayesian perspective. The adoption and application of Bayesian methods in virtually all branches of science and engineering have significantly increased over the past few decades. This increase is largely due to advances in simulation-based computational tools for implementing Bayesian methods. The authors extensively use such tools throughout this book, focusing on assessing the reliability of components and systems with particular attention to hierarchical models and models incorporating explanatory variables. Such models include failure time regression models, accelerated testing models, and degradation models. The authors pay special attention to Bayesian goodness-of-fit testing, model validation, reliability test design, and assurance test planning. Throughout the book, the authors use Markov chain Monte Carlo (MCMC) algorithms for implementing Bayesian analyses -- algorithms that make the Bayesian approach to reliability computationally feasible and conceptually straightforward. This book is primarily a reference collection of modern Bayesian methods in reliability for use by reliability practitioners. There are more than 70 illustrative examples, most of which utilize real-world data. This book can also be used as a textbook for a course in reliability and contains more than 160 exercises. Noteworthy highlights of the book include Bayesian approaches for the following: Goodness-of-fit and model selection methods Hierarchical models for reliability estimation Fault tree analysis methodology that supports data acquisition at all levels in the tree Bayesian networks in reliability analysis Analysis of failure count and failure time data collected from repairable systems, and the assessment of various related performance criteria Analysis of nondestructive and destructive degradation data Optimal design of reliability experiments Hierarchical reliability assurance testing

Reliability and Risk

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Publisher : John Wiley & Sons
ISBN 13 : 0470060336
Total Pages : 396 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Reliability and Risk by : Nozer D. Singpurwalla

Download or read book Reliability and Risk written by Nozer D. Singpurwalla and published by John Wiley & Sons. This book was released on 2006-08-14 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: We all like to know how reliable and how risky certain situations are, and our increasing reliance on technology has led to the need for more precise assessments than ever before. Such precision has resulted in efforts both to sharpen the notions of risk and reliability, and to quantify them. Quantification is required for normative decision-making, especially decisions pertaining to our safety and wellbeing. Increasingly in recent years Bayesian methods have become key to such quantifications. Reliability and Risk provides a comprehensive overview of the mathematical and statistical aspects of risk and reliability analysis, from a Bayesian perspective. This book sets out to change the way in which we think about reliability and survival analysis by casting them in the broader context of decision-making. This is achieved by: Providing a broad coverage of the diverse aspects of reliability, including: multivariate failure models, dynamic reliability, event history analysis, non-parametric Bayes, competing risks, co-operative and competing systems, and signature analysis. Covering the essentials of Bayesian statistics and exchangeability, enabling readers who are unfamiliar with Bayesian inference to benefit from the book. Introducing the notion of “composite reliability”, or the collective reliability of a population of items. Discussing the relationship between notions of reliability and survival analysis and econometrics and financial risk. Reliability and Risk can most profitably be used by practitioners and research workers in reliability and survivability as a source of information, reference, and open problems. It can also form the basis of a graduate level course in reliability and risk analysis for students in statistics, biostatistics, engineering (industrial, nuclear, systems), operations research, and other mathematically oriented scientists, wherein the instructor could supplement the material with examples and problems.

Practical Applications of Bayesian Reliability

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Publisher : John Wiley & Sons
ISBN 13 : 1119287987
Total Pages : 265 pages
Book Rating : 4.1/5 (192 download)

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Book Synopsis Practical Applications of Bayesian Reliability by : Yan Liu

Download or read book Practical Applications of Bayesian Reliability written by Yan Liu and published by John Wiley & Sons. This book was released on 2019-03-18 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: Demonstrates how to solve reliability problems using practical applications of Bayesian models This self-contained reference provides fundamental knowledge of Bayesian reliability and utilizes numerous examples to show how Bayesian models can solve real life reliability problems. It teaches engineers and scientists exactly what Bayesian analysis is, what its benefits are, and how they can apply the methods to solve their own problems. To help readers get started quickly, the book presents many Bayesian models that use JAGS and which require fewer than 10 lines of command. It also offers a number of short R scripts consisting of simple functions to help them become familiar with R coding. Practical Applications of Bayesian Reliability starts by introducing basic concepts of reliability engineering, including random variables, discrete and continuous probability distributions, hazard function, and censored data. Basic concepts of Bayesian statistics, models, reasons, and theory are presented in the following chapter. Coverage of Bayesian computation, Metropolis-Hastings algorithm, and Gibbs Sampling comes next. The book then goes on to teach the concepts of design capability and design for reliability; introduce Bayesian models for estimating system reliability; discuss Bayesian Hierarchical Models and their applications; present linear and logistic regression models in Bayesian Perspective; and more. Provides a step-by-step approach for developing advanced reliability models to solve complex problems, and does not require in-depth understanding of statistical methodology Educates managers on the potential of Bayesian reliability models and associated impact Introduces commonly used predictive reliability models and advanced Bayesian models based on real life applications Includes practical guidelines to construct Bayesian reliability models along with computer codes for all of the case studies JAGS and R codes are provided on an accompanying website to enable practitioners to easily copy them and tailor them to their own applications Practical Applications of Bayesian Reliability is a helpful book for industry practitioners such as reliability engineers, mechanical engineers, electrical engineers, product engineers, system engineers, and materials scientists whose work includes predicting design or product performance.

International Conference on Structural Safety and Reliability

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Publisher : Elsevier
ISBN 13 : 1483186806
Total Pages : 365 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis International Conference on Structural Safety and Reliability by : Alfred M. Freudenthal

Download or read book International Conference on Structural Safety and Reliability written by Alfred M. Freudenthal and published by Elsevier. This book was released on 2014-05-17 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: International Conference on Structural Safety and Reliability documents the proceedings of a conference of the same name, which focuses mainly on the integration of all aspects of structural design (load-analysis, stability and strength analysis, and stress and deformation analysis) by the safety and reliability analysis of the structure of necessity. This text is divided into five sessions, reflecting the manner each topic is presented in the symposium. The general aspects of structural reliability are first presented, and then the methods of safety and reliability analysis and the Bayesian statistical decision theory and reliability-based design are examined. This book then considers the problems regarding the extreme values of stochastic processes, as well as other statistical theories of extremes. A part in this text is devoted to the random excitation of structures. The last two parts examine the development of modern aircraft design and structure as well as special reliability problems to evaluate and apply the theories examined. This book will be valuable to engineering students and engineers interested in structural safety and reliability.

Statistical Decision Theory and Bayesian Analysis

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Publisher : Springer Science & Business Media
ISBN 13 : 147574286X
Total Pages : 633 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Statistical Decision Theory and Bayesian Analysis by : James O. Berger

Download or read book Statistical Decision Theory and Bayesian Analysis written by James O. Berger and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 633 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this new edition the author has added substantial material on Bayesian analysis, including lengthy new sections on such important topics as empirical and hierarchical Bayes analysis, Bayesian calculation, Bayesian communication, and group decision making. With these changes, the book can be used as a self-contained introduction to Bayesian analysis. In addition, much of the decision-theoretic portion of the text was updated, including new sections covering such modern topics as minimax multivariate (Stein) estimation.

Bayesian Methods in Reliability

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Publisher : Springer Science & Business Media
ISBN 13 :
Total Pages : 244 pages
Book Rating : 4.:/5 (45 download)

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Book Synopsis Bayesian Methods in Reliability by : P. Sander

Download or read book Bayesian Methods in Reliability written by P. Sander and published by Springer Science & Business Media. This book was released on 1991 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. Introduction to Bayesian Methods in Reliability.- 1. Why Bayesian Methods?.- 1.1 Sparse data.- 1.2 Decision problems.- 2. Bayes' Theorem.- 3. Examples from a Safety Study on Gas transmission Pipelines.- 3.1 Estimating the probability of the development of a big hole.- 3.2 Estimating the leak rate of a gas transmission pipeline.- 4. Conclusions.- References.- 2. An Overview of the Bayesian Approach.- 1. Background.- 2. Probability Concepts.- 3. Notation.- 4. Reliability Concepts and Models.- 5. Forms of Data.- 6. Statistical Problems.- 7. Review of Non-Bayesian Statistical Methods.- 8. Desiderata for Decision-Oriented Statistical Methodology.- 9. Decision-Making.- 10. Degrees of Belief as Probabilities.- 11. Bayesian Statistical Philosophy.- 12. A Simple Illustration of Bayesian Learning.- 13. Bayesian Approaches to Typical Statistical Questions.- 14. Assessment of Prior Densities.- 15. Bayesian Inference for some Univariate Probability Models.- 16. Approximate Analysis under Great Prior Uncertainty.- 17. Problems Involving many Parameters: Empirical Bayes.- 18. Numerical Methods for Practical Bayesian Statistics.- References.- 3. Reliability Modelling and Estimation.- 1. Non-Repairable Systems.- 1.1 Introduction.- 1.2 Describing reliability.- 1.3 Failure time distributions.- 2. Estimation.- 2.1 Introduction.- 2.2 Classical methods.- 2.3 Bayesian methods.- 3. Reliability estimation.- 3.1 Introduction.- 3.2 Binomial sampling.- 3.3 Pascal sampling.- 3.4 Poisson sampling.- 3.5 Hazard rate estimation.- References.- 4. Repairable Systems and Growth Models.- 1. Introduction.- 2. Good as New: the Renewal Process.- 3. Estimation.- 4. The Poisson Process.- 5. Bad as old: the Non-Homogeneous Poisson Process.- 6. Classical Estimation.- 7. Exploratory Analysis.- 8. The Duane Model.- 9. Bayesian Analysis.- References.- 5. The Use of Expert Judgement in Risk Assessment.- 1. Introduction.- 2. Independence Preservation.- 3. The Quality of Experts' Judgement.- 4. Calibration Sets and Seed Variables.- 5. A Classical Model.- 6. Bayesian Models.- 7. Some Experimental Results.- References.- 6. Forecasting Software Reliability.- 1. Introduction.- 2. The Software Reliability Growth Problem.- 3. Some Software Reliability Growth Models.- 3.1 Jelinski and Moranda (JM).- 3.2 Bayesian Jelinski-Moranda (BJM).- 3.3 Littlewood (L).- 3.4 Littlewood and Verrall (LV).- 3.5 Keiller and Littlewood (KL).- 3.6 Weibull order statistics (W).- 3.7 Duane (D).- 3.8 Goel-Okumoto (GO).- 3.9 Littlewood NHPP (LNHPP).- 4. Examples of Use.- 5. Analysis of Predictive Quality.- 5.1 The u-plot.- 5.2 The y-plot, and scatter plot of u's.- 5.3 Measures of 'noise'.- 5.3.1 Braun statistic.- 5.3.2 Median variability.- 5.3.3 Rate variability.- 5.4 Prequential likelihood.- 6. Examples of Predictive Analysis.- 7. Adapting and Combining Predictions; Future Directions.- 8 Summary and Conclusions.- Acknowledgements.- References.- References.- Author index.

Reliability-Based Design in Geotechnical Engineering

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Publisher : CRC Press
ISBN 13 : 0203934245
Total Pages : 545 pages
Book Rating : 4.2/5 (39 download)

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Book Synopsis Reliability-Based Design in Geotechnical Engineering by : Kok-Kwang Phoon

Download or read book Reliability-Based Design in Geotechnical Engineering written by Kok-Kwang Phoon and published by CRC Press. This book was released on 2008-04-25 with total page 545 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reliability-based design is the only engineering methodology currently available which can ensure self-consistency in both physical and probabilistic terms. It is also uniquely compatible with the theoretical basis underlying other disciplines such as structural design. It is especially relevant as geotechnical design becomes subject to increasing codification and to code harmonization across national boundaries and material types. Already some codes of practice describe the principles and requirements for safety, serviceability, and durability of structures in reliability terms. This book presents practical computational methods in concrete steps that can be followed by practitioners and students. It also provides geotechnical examples illustrating reliability analysis and design. It aims to encourage geotechnical engineers to apply reliability-based design in a realistic context that recognises the complex variabilities in geomaterials and model uncertainties arising from a profession steeped in empiricism. By focusing on learning through computations and examples, this book serves as a valuable reference for engineers and a resource for students.

NASA Technical Note

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Publisher :
ISBN 13 :
Total Pages : 936 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis NASA Technical Note by :

Download or read book NASA Technical Note written by and published by . This book was released on 1974 with total page 936 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Bayesian Reliability Analysis

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Publisher :
ISBN 13 :
Total Pages : 778 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis Bayesian Reliability Analysis by : Harry F. Martz

Download or read book Bayesian Reliability Analysis written by Harry F. Martz and published by . This book was released on 1982-05-14 with total page 778 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive collection of and introduction to the major advances in Bayesian reliability analysis techniques developed during the last two decades, in textbook form. Focuses primary attention on the exponential, Weibull, normal, log normal, inverse Gaussian, and gamma failure time distributions, as well as the binomial, Pascal, and Poisson sampling models. Noninformative and natural conhugate prior distributions are emphasized, although other classes or prior distributions are also often considered. Background chapters on probability, statistics, and classical reliability analysis methods are also included.

Frontiers of Statistical Decision Making and Bayesian Analysis

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Publisher : Springer
ISBN 13 : 9781441969453
Total Pages : 631 pages
Book Rating : 4.9/5 (694 download)

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Book Synopsis Frontiers of Statistical Decision Making and Bayesian Analysis by : Ming-Hui Chen

Download or read book Frontiers of Statistical Decision Making and Bayesian Analysis written by Ming-Hui Chen and published by Springer. This book was released on 2010-08-05 with total page 631 pages. Available in PDF, EPUB and Kindle. Book excerpt: Research in Bayesian analysis and statistical decision theory is rapidly expanding and diversifying, making it increasingly more difficult for any single researcher to stay up to date on all current research frontiers. This book provides a review of current research challenges and opportunities. While the book can not exhaustively cover all current research areas, it does include some exemplary discussion of most research frontiers. Topics include objective Bayesian inference, shrinkage estimation and other decision based estimation, model selection and testing, nonparametric Bayes, the interface of Bayesian and frequentist inference, data mining and machine learning, methods for categorical and spatio-temporal data analysis and posterior simulation methods. Several major application areas are covered: computer models, Bayesian clinical trial design, epidemiology, phylogenetics, bioinformatics, climate modeling and applications in political science, finance and marketing. As a review of current research in Bayesian analysis the book presents a balance between theory and applications. The lack of a clear demarcation between theoretical and applied research is a reflection of the highly interdisciplinary and often applied nature of research in Bayesian statistics. The book is intended as an update for researchers in Bayesian statistics, including non-statisticians who make use of Bayesian inference to address substantive research questions in other fields. It would also be useful for graduate students and research scholars in statistics or biostatistics who wish to acquaint themselves with current research frontiers.

Rational Descriptions, Decisions and Designs

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Publisher : Elsevier
ISBN 13 : 1483146235
Total Pages : 500 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis Rational Descriptions, Decisions and Designs by : Myron Tribus

Download or read book Rational Descriptions, Decisions and Designs written by Myron Tribus and published by Elsevier. This book was released on 2013-10-22 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rational Descriptions, Decisions and Designs is a reference for understanding the aspects of rational decision theory in terms of the basic formalism of information theory. The text provides ways to achieve correct engineering design decisions. The book starts with an understanding for the need to apply rationality, as opposed to uncertainty, in design decision making. Inductive logic in computers is explained where the design of the machine and the accompanying software are considered. The text then explains the functional equations and the problems of arriving at a rational description through some mathematical preliminaries. Bayes' equation and rational inference as tools for adjusting probabilities when something new is encountered in earlier probability distributions are explained. The book presents as well a case study concerning the error made in following specifications of spark plugs. The author also explains the Bernoulli trials, where a probability that a better hypothesis than that already adopted may exist. The rational measure of uncertainty and the principle of maximum entropy with sample calculations are included in the text. After considering the probabilities, the decision theory is taken up where engineering design follows. Examples regarding transmitter and voltmeter designs are presented. The book ends by explaining probabilities of success and failure as applied to reliability engineering, that it is a state of knowledge rather than the state of a thing. The text can serve as a textbook for students in technology engineering and design, and as a useful reference for mathematicians, statisticians, and fabrication engineers.

Structural Reliability Theory and Its Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 3642686974
Total Pages : 267 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Structural Reliability Theory and Its Applications by : P. Thoft-Cristensen

Download or read book Structural Reliability Theory and Its Applications written by P. Thoft-Cristensen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: Structural reliability theory is concerned with the rational treatment of uncertainties in struc tural engineering and with the methods for assessing the safety and serviceability of civil en gineering and other structures. It is a subject which has grown rapidly during the last decade and has evolved from being a topic for academic research to a set of well-developed or develop ing methodologies with a wide range of practical applications. Uncertainties exist in most areas of civil and structural engineeri'1.g and rational design decisions cannot be made without modelling them and taking them into account. Many structural en gineers are shielded from having to think about such problems, at least when designing simple structures, because of the prescriptive and essentially deterministic nature of most codes of practice. This is an undesirable situation. Most loads and other structural design parameters are rarely known with certainty and should be regarded as random variables or stochastic processes, even if in design calculations they are eventually treated as deterministic. Some problems such as the analysis of load combinations cannot even be formulated without recourse to probabilistic reasoning.

Advances in Design Optimization

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Publisher : CRC Press
ISBN 13 : 0203038649
Total Pages : 590 pages
Book Rating : 4.2/5 (3 download)

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Book Synopsis Advances in Design Optimization by : H. Adeli

Download or read book Advances in Design Optimization written by H. Adeli and published by CRC Press. This book was released on 2002-09-11 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book summarizes advances in a number of fundamental areas of optimization with application in engineering design. The selection of the 'best' or 'optimum' design has long been a major concern of designers and in recent years interest has grown in applying mathematical optimization techniques to design of large engineering and industrial systems, and in using the computer-aided design packages with optimization capabilities which are now available.

Structural Design Optimization Considering Uncertainties

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Publisher : CRC Press
ISBN 13 : 0203938526
Total Pages : 670 pages
Book Rating : 4.2/5 (39 download)

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Book Synopsis Structural Design Optimization Considering Uncertainties by : Yannis Tsompanakis

Download or read book Structural Design Optimization Considering Uncertainties written by Yannis Tsompanakis and published by CRC Press. This book was released on 2008-02-07 with total page 670 pages. Available in PDF, EPUB and Kindle. Book excerpt: Uncertainties play a dominant role in the design and optimization of structures and infrastructures. In optimum design of structural systems due to variations of the material, manufacturing variations, variations of the external loads and modelling uncertainty, the parameters of a structure, a structural system and its environment are not given, fi