AIAA Guide for the Verification and Validation of Computational Fluid Dynamics Simulations

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Publisher : AIAA (American Institute of Aeronautics & Astronautics)
ISBN 13 : 9781563472855
Total Pages : 0 pages
Book Rating : 4.4/5 (728 download)

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Book Synopsis AIAA Guide for the Verification and Validation of Computational Fluid Dynamics Simulations by : American Institute of Aeronautics and Astronautics

Download or read book AIAA Guide for the Verification and Validation of Computational Fluid Dynamics Simulations written by American Institute of Aeronautics and Astronautics and published by AIAA (American Institute of Aeronautics & Astronautics). This book was released on 1998 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This document defines a number of key terms, discusses fundamental concepts, and specifies general procedures for conducting verification and validation of computational fluid dynamics simulations. It's goal is to provide a foundation for the major issues and concepts in verification and validation. However, it does not recommend standards in these areas because a number of important issues are not yet resolved.

Concepts of Model Verification and Validation

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Publisher :
ISBN 13 :
Total Pages : 41 pages
Book Rating : 4.:/5 (316 download)

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Book Synopsis Concepts of Model Verification and Validation by : M. C. Anderson

Download or read book Concepts of Model Verification and Validation written by M. C. Anderson and published by . This book was released on 2004 with total page 41 pages. Available in PDF, EPUB and Kindle. Book excerpt: Model verification and validation (V & V) is an enabling methodology for the development of computational models that can be used to make engineering predictions with quantified confidence. Model V & V procedures are needed by government and industry to reduce the time, cost, and risk associated with full-scale testing of products, materials, and weapon systems. Quantifying the confidence and predictive accuracy of model calculations provides the decision-maker with the information necessary for making high-consequence decisions. The development of guidelines and procedures for conducting a model V & V program are currently being defined by a broad spectrum of researchers. This report reviews the concepts involved in such a program. Model V & V is a current topic of great interest to both government and industry. In response to a ban on the production of new strategic weapons and nuclear testing, the Department of Energy (DOE) initiated the Science-Based Stockpile Stewardship Program (SSP). An objective of the SSP is to maintain a high level of confidence in the safety, reliability, and performance of the existing nuclear weapons stockpile in the absence of nuclear testing. This objective has challenged the national laboratories to develop high-confidence tools and methods that can be used to provide credible models needed for stockpile certification via numerical simulation. There has been a significant increase in activity recently to define V & V methods and procedures. The U.S. Department of Defense (DoD) Modeling and Simulation Office (DMSO) is working to develop fundamental concepts and terminology for V & V applied to high-level systems such as ballistic missile defense and battle management simulations. The American Society of Mechanical Engineers (ASME) has recently formed a Standards Committee for the development of V & V procedures for computational solid mechanics models. The Defense Nuclear Facilities Safety Board (DNFSB) has been a proponent of model V & V for all safety-related nuclear facility design, analyses, and operations. In fact, DNFSB 2002-1 recommends to the DOE and National Nuclear Security Administration (NNSA) that a V & V process be performed for all safety related software and analysis. Model verification and validation are the primary processes for quantifying and building credibility in numerical models. Verification is the process of determining that a model implementation accurately represents the developer's conceptual description of the model and its solution. Validation is the process of determining the degree to which a model is an accurate representation of the real world from the perspective of the intended uses of the model. Both verification and validation are processes that accumulate evidence of a model's correctness or accuracy for a specific scenario; thus, V & V cannot prove that a model is correct and accurate for all possible scenarios, but, rather, it can provide evidence that the model is sufficiently accurate for its intended use. Model V & V is fundamentally different from software V & V. Code developers developing computer programs perform software V & V to ensure code correctness, reliability, and robustness. In model V & V, the end product is a predictive model based on fundamental physics of the problem being solved. In all applications of practical interest, the calculations involved in obtaining solutions with the model require a computer code, e.g., finite element or finite difference analysis. Therefore, engineers seeking to develop credible predictive models critically need model V & V guidelines and procedures. The expected outcome of the model V & V process is the quantified level of agreement between experimental data and model prediction, as well as the predictive accuracy of the model. This report attempts to describe the general philosophy, definitions, concepts, and processes for conducting a successful V & V program. This objective is motivated by the need for highly accurate numerical models for making predictions to support the SSP, and also by the lack of guidelines, standards and procedures for performing V & V for complex numerical models.

Verification and Validation in Scientific Computing

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Publisher : Cambridge University Press
ISBN 13 : 1139491768
Total Pages : 782 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Verification and Validation in Scientific Computing by : William L. Oberkampf

Download or read book Verification and Validation in Scientific Computing written by William L. Oberkampf and published by Cambridge University Press. This book was released on 2010-10-14 with total page 782 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in scientific computing have made modelling and simulation an important part of the decision-making process in engineering, science, and public policy. This book provides a comprehensive and systematic development of the basic concepts, principles, and procedures for verification and validation of models and simulations. The emphasis is placed on models that are described by partial differential and integral equations and the simulations that result from their numerical solution. The methods described can be applied to a wide range of technical fields, from the physical sciences, engineering and technology and industry, through to environmental regulations and safety, product and plant safety, financial investing, and governmental regulations. This book will be genuinely welcomed by researchers, practitioners, and decision makers in a broad range of fields, who seek to improve the credibility and reliability of simulation results. It will also be appropriate either for university courses or for independent study.

Computer Simulation Validation

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Publisher : Springer
ISBN 13 : 3319707663
Total Pages : 1074 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Computer Simulation Validation by : Claus Beisbart

Download or read book Computer Simulation Validation written by Claus Beisbart and published by Springer. This book was released on 2019-04-09 with total page 1074 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique volume introduces and discusses the methods of validating computer simulations in scientific research. The core concepts, strategies, and techniques of validation are explained by an international team of pre-eminent authorities, drawing on expertise from various fields ranging from engineering and the physical sciences to the social sciences and history. The work also offers new and original philosophical perspectives on the validation of simulations. Topics and features: introduces the fundamental concepts and principles related to the validation of computer simulations, and examines philosophical frameworks for thinking about validation; provides an overview of the various strategies and techniques available for validating simulations, as well as the preparatory steps that have to be taken prior to validation; describes commonly used reference points and mathematical frameworks applicable to simulation validation; reviews the legal prescriptions, and the administrative and procedural activities related to simulation validation; presents examples of best practice that demonstrate how methods of validation are applied in various disciplines and with different types of simulation models; covers important practical challenges faced by simulation scientists when applying validation methods and techniques; offers a selection of general philosophical reflections that explore the significance of validation from a broader perspective. This truly interdisciplinary handbook will appeal to a broad audience, from professional scientists spanning all natural and social sciences, to young scholars new to research with computer simulations. Philosophers of science, and methodologists seeking to increase their understanding of simulation validation, will also find much to benefit from in the text.

Verification, Validation, and Testing of Engineered Systems

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Publisher : John Wiley & Sons
ISBN 13 : 1118029313
Total Pages : 723 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Verification, Validation, and Testing of Engineered Systems by : Avner Engel

Download or read book Verification, Validation, and Testing of Engineered Systems written by Avner Engel and published by John Wiley & Sons. This book was released on 2010-11-19 with total page 723 pages. Available in PDF, EPUB and Kindle. Book excerpt: Systems' Verification Validation and Testing (VVT) are carried out throughout systems' lifetimes. Notably, quality-cost expended on performing VVT activities and correcting system defects consumes about half of the overall engineering cost. Verification, Validation and Testing of Engineered Systems provides a comprehensive compendium of VVT activities and corresponding VVT methods for implementation throughout the entire lifecycle of an engineered system. In addition, the book strives to alleviate the fundamental testing conundrum, namely: What should be tested? How should one test? When should one test? And, when should one stop testing? In other words, how should one select a VVT strategy and how it be optimized? The book is organized in three parts: The first part provides introductory material about systems and VVT concepts. This part presents a comprehensive explanation of the role of VVT in the process of engineered systems (Chapter-1). The second part describes 40 systems' development VVT activities (Chapter-2) and 27 systems' post-development activities (Chapter-3). Corresponding to these activities, this part also describes 17 non-testing systems' VVT methods (Chapter-4) and 33 testing systems' methods (Chapter-5). The third part of the book describes ways to model systems' quality cost, time and risk (Chapter-6), as well as ways to acquire quality data and optimize the VVT strategy in the face of funding, time and other resource limitations as well as different business objectives (Chapter-7). Finally, this part describes the methodology used to validate the quality model along with a case study describing a system's quality improvements (Chapter-8). Fundamentally, this book is written with two categories of audience in mind. The first category is composed of VVT practitioners, including Systems, Test, Production and Maintenance engineers as well as first and second line managers. The second category is composed of students and faculties of Systems, Electrical, Aerospace, Mechanical and Industrial Engineering schools. This book may be fully covered in two to three graduate level semesters; although parts of the book may be covered in one semester. University instructors will most likely use the book to provide engineering students with knowledge about VVT, as well as to give students an introduction to formal modeling and optimization of VVT strategy.

Experimentation, Validation, and Uncertainty Analysis for Engineers

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Publisher : John Wiley & Sons
ISBN 13 : 1119417708
Total Pages : 404 pages
Book Rating : 4.1/5 (194 download)

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Book Synopsis Experimentation, Validation, and Uncertainty Analysis for Engineers by : Hugh W. Coleman

Download or read book Experimentation, Validation, and Uncertainty Analysis for Engineers written by Hugh W. Coleman and published by John Wiley & Sons. This book was released on 2018-04-09 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Helps engineers and scientists assess and manage uncertainty at all stages of experimentation and validation of simulations Fully updated from its previous edition, Experimentation, Validation, and Uncertainty Analysis for Engineers, Fourth Edition includes expanded coverage and new examples of applying the Monte Carlo Method (MCM) in performing uncertainty analyses. Presenting the current, internationally accepted methodology from ISO, ANSI, and ASME standards for propagating uncertainties using both the MCM and the Taylor Series Method (TSM), it provides a logical approach to experimentation and validation through the application of uncertainty analysis in the planning, design, construction, debugging, execution, data analysis, and reporting phases of experimental and validation programs. It also illustrates how to use a spreadsheet approach to apply the MCM and the TSM, based on the authors’ experience in applying uncertainty analysis in complex, large-scale testing of real engineering systems. Experimentation, Validation, and Uncertainty Analysis for Engineers, Fourth Edition includes examples throughout, contains end of chapter problems, and is accompanied by the authors’ website www.uncertainty-analysis.com. Guides readers through all aspects of experimentation, validation, and uncertainty analysis Emphasizes the use of the Monte Carlo Method in performing uncertainty analysis Includes complete new examples throughout Features workable problems at the end of chapters Experimentation, Validation, and Uncertainty Analysis for Engineers, Fourth Edition is an ideal text and guide for researchers, engineers, and graduate and senior undergraduate students in engineering and science disciplines. Knowledge of the material in this Fourth Edition is a must for those involved in executing or managing experimental programs or validating models and simulations.

Verification and Validation for Modeling and Simulation

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Publisher : Lulu.com
ISBN 13 : 1312740612
Total Pages : 473 pages
Book Rating : 4.3/5 (127 download)

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Book Synopsis Verification and Validation for Modeling and Simulation by : Jeffrey Strickland

Download or read book Verification and Validation for Modeling and Simulation written by Jeffrey Strickland and published by Lulu.com. This book was released on 2014-12-08 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work began when I was appointed as a Technical Director for Modeling and Simulation (M&S) Verification and Validation (V&V) for a major defense system in 2008. It is intended to provide the nuts and bolts of performing M&S V&V in one volume. It is not intended to provide a holistic approach to M&S V&V, as that can be derived from other sources. As such, this book assumes a basic understanding of V&V, including its place in the lifecycle, its purpose and its scope for ensuring the quality of models and simulations. During the process of developing this text, the Simulation Interoperability Standards Organization (SISO) completed SISO-GUIDE-001.2-2013, Guide for Generic Methodology for Verification and Validation (GM-VV) to Support Acceptance of Models, Simulations, and Data, 2 Volumes, June 2013. The guide does serve the purpose not covered by this book. This text provides procedural details for performing V&V. The procedures are static, dynamic and informal.

Modeling and Simulation in the Systems Engineering Life Cycle

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Publisher : Springer
ISBN 13 : 144715634X
Total Pages : 405 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Modeling and Simulation in the Systems Engineering Life Cycle by : Margaret L. Loper

Download or read book Modeling and Simulation in the Systems Engineering Life Cycle written by Margaret L. Loper and published by Springer. This book was released on 2015-04-30 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: This easy to read text provides a broad introduction to the fundamental concepts of modeling and simulation (M&S) and systems engineering, highlighting how M&S is used across the entire systems engineering lifecycle. Features: reviews the full breadth of technologies, methodologies and uses of M&S, rather than just focusing on a specific aspect of the field; presents contributions from specialists in each topic covered; introduces the foundational elements and processes that serve as the groundwork for understanding M&S; explores common methods and methodologies used in M&S; discusses how best to design and execute experiments, covering the use of Monte Carlo techniques, surrogate modeling and distributed simulation; explores the use of M&S throughout the systems development lifecycle, describing a number of methods, techniques, and tools available to support systems engineering processes; provides a selection of case studies illustrating the use of M&S in systems engineering across a variety of domains.

Innovative Learning Analytics for Evaluating Instruction

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Publisher : Routledge
ISBN 13 : 1000454770
Total Pages : 136 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis Innovative Learning Analytics for Evaluating Instruction by : Theodore W. Frick

Download or read book Innovative Learning Analytics for Evaluating Instruction written by Theodore W. Frick and published by Routledge. This book was released on 2021-07-19 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: Innovative Learning Analytics for Evaluating Instruction covers the application of a forward-thinking research methodology that uses big data to evaluate the effectiveness of online instruction. Analysis of Patterns in Time (APT) is a practical analytic approach that finds meaningful patterns in massive data sets, capturing temporal maps of students’ learning journeys by combining qualitative and quantitative methods. Offering conceptual and research overviews, design principles, historical examples, and more, this book demonstrates how APT can yield strong, easily generalizable empirical evidence through big data; help students succeed in their learning journeys; and document the extraordinary effectiveness of First Principles of Instruction. It is an ideal resource for faculty and professionals in instructional design, learning engineering, online learning, program evaluation, and research methods.

Medical Device Software Verification, Validation and Compliance

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Publisher : Artech House
ISBN 13 : 1596934239
Total Pages : 445 pages
Book Rating : 4.5/5 (969 download)

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Book Synopsis Medical Device Software Verification, Validation and Compliance by : David A. Vogel

Download or read book Medical Device Software Verification, Validation and Compliance written by David A. Vogel and published by Artech House. This book was released on 2011 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: HereOCOs the first book written specifically to help medical device and software engineers, QA and compliance professionals, and corporate business managers better understand and implement critical verification and validation processes for medical device software.Offering you a much broader, higher-level picture than other books in this field, this book helps you think critically about software validation -- to build confidence in your softwareOCOs safety and effectiveness. The book presents validation activities for each phase of the development lifecycle and shows: why these activities are important and add value; how to undertake them; and what outputs need to be created to document the validation process.From software embedded within medical devices, to software that performs as a medical device itself, this comprehensive book explains how properly handled validation throughout the development lifecycle can help bring medical devices to completion sooner, at higher quality, in compliance with regulations."

System Validation and Verification

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Publisher : CRC Press
ISBN 13 : 9780849378386
Total Pages : 356 pages
Book Rating : 4.3/5 (783 download)

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Book Synopsis System Validation and Verification by : Jeffrey O. Grady

Download or read book System Validation and Verification written by Jeffrey O. Grady and published by CRC Press. This book was released on 1997-11-25 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Historically, the terms validation and verification have been very loosely defined in the system engineering world, with predictable confusion. Few hardware or software testing texts even touch upon validation and verification, despite the fact that, properly employed, these test tools offer system and test engineers powerful techniques for identifying and solving problems early in the design process. Together, validation and verification encompass testing, analysis, demonstration, and examination methods used to determine whether a proposed design will satisfy system requirements. System Validation and Verification clear definitions of the terms and detailed information on using these fundamental tools for problem solving. It smoothes the transition between requirements and design by providing methods for evaluating the ability of a given approach to satisfy demanding technical requirements. With this book, system and test engineers and project managers gain confidence in their designs and lessen the likelihood of serious problems cropping up late in the program. In addition to explanations of the theories behind the concepts, the book includes practical methods for each step of the process, examples from the author's considerable experience, and illustrations and tables to support the ideas. Although not primarily a textbook, System Validation and Verification is based in part on validation and verification courses taught by the author and is an excellent supplemental reference for engineering students. In addition to its usefulness to system engineers, the book will be valuable to a wider audience including manufacturing, design, software , and risk management project engineers - anyone involved in large systems design projects.

Simulation Validation

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Publisher : John Wiley & Sons
ISBN 13 : 9780818635120
Total Pages : 174 pages
Book Rating : 4.6/5 (351 download)

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Book Synopsis Simulation Validation by : Peter L. Knepell

Download or read book Simulation Validation written by Peter L. Knepell and published by John Wiley & Sons. This book was released on 1993-06-13 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: Helps you ensure that your simulations are appropriate representations of real-world systems. The book concentrates on the differentiation between the assessment of a simulation tool and the verification and validation of general software products. It is a systematic, procedural, practical guide that you can use to enhance the credibility of your simulation models. In addition, it is a valuable reference book and a road map for software developers and quality assurance experts, or as a text for simulation methodology and software engineering courses. This book details useful assessment procedures and phases, discusses ways to tailor the methodology for specific situations and objectives, and provides numerous assessment aids. The reader can use these aids to support ongoing assessments over the entire life cycle of the model.

Software Testing

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Publisher : John Wiley & Sons
ISBN 13 : 1118662873
Total Pages : 398 pages
Book Rating : 4.1/5 (186 download)

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Book Synopsis Software Testing by : Ali Mili

Download or read book Software Testing written by Ali Mili and published by John Wiley & Sons. This book was released on 2015-06-15 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explores and identifies the main issues, concepts, principles and evolution of software testing, including software quality engineering and testing concepts, test data generation, test deployment analysis, and software test management This book examines the principles, concepts, and processes that are fundamental to the software testing function. This book is divided into five broad parts. Part I introduces software testing in the broader context of software engineering and explores the qualities that testing aims to achieve or ascertain, as well as the lifecycle of software testing. Part II covers mathematical foundations of software testing, which include software specification, program correctness and verification, concepts of software dependability, and a software testing taxonomy. Part III discusses test data generation, specifically, functional criteria and structural criteria. Test oracle design, test driver design, and test outcome analysis is covered in Part IV. Finally, Part V surveys managerial aspects of software testing, including software metrics, software testing tools, and software product line testing. Presents software testing, not as an isolated technique, but as part of an integrated discipline of software verification and validation Proposes program testing and program correctness verification within the same mathematical model, making it possible to deploy the two techniques in concert, by virtue of the law of diminishing returns Defines the concept of a software fault, and the related concept of relative correctness, and shows how relative correctness can be used to characterize monotonic fault removal Presents the activity of software testing as a goal oriented activity, and explores how the conduct of the test depends on the selected goal Covers all phases of the software testing lifecycle, including test data generation, test oracle design, test driver design, and test outcome analysis Software Testing: Concepts and Operations is a great resource for software quality and software engineering students because it presents them with fundamentals that help them to prepare for their ever evolving discipline.

Model Engineering for Simulation

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Publisher : Academic Press
ISBN 13 : 0128135441
Total Pages : 453 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Model Engineering for Simulation by : Lin Zhang

Download or read book Model Engineering for Simulation written by Lin Zhang and published by Academic Press. This book was released on 2019-02-27 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: Model Engineering for Simulation provides a systematic introduction to the implementation of generic, normalized and quantifiable modeling and simulation using DEVS formalism. It describes key technologies relating to model lifecycle management, including model description languages, complexity analysis, model management, service-oriented model composition, quantitative measurement of model credibility, and model validation and verification. The book clearly demonstrates how to construct computationally efficient, object-oriented simulations of DEVS models on parallel and distributed environments. Guides systems and control engineers in the practical creation and delivery of simulation models using DEVS formalism Provides practical methods to improve credibility of models and manage the model lifecycle Helps readers gain an overall understanding of model lifecycle management and analysis Supported by an online ancillary package that includes an instructors and student solutions manual

Verification and Validation of Rule-Based Expert Systems

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Publisher : CRC Press
ISBN 13 : 149871935X
Total Pages : 224 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis Verification and Validation of Rule-Based Expert Systems by : Suzanne Smith

Download or read book Verification and Validation of Rule-Based Expert Systems written by Suzanne Smith and published by CRC Press. This book was released on 2018-10-08 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents an innovative approach to verifying and validating rule-based expert systems. It features a complete set of techniques and tools that provide a more formal, objective, and automated means of carrying out verification and validation procedures. Many of the concepts behind these procedures have been adapted from conventional software, while others have required that new techniques or tools be created because of the uniqueness of rule-based expert systems. Verification and Validation of Rule-Based Expert Systems is a valuable reference for electrical engineers, software engineers, artificial intelligence experts, and computer scientists involved with object-oriented development, expert systems, and programming languages.

Generalizing Concepts and Methods of Verification, Validation, and Accreditation (VV & A) for Military Simulations

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Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (946 download)

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Book Synopsis Generalizing Concepts and Methods of Verification, Validation, and Accreditation (VV & A) for Military Simulations by :

Download or read book Generalizing Concepts and Methods of Verification, Validation, and Accreditation (VV & A) for Military Simulations written by and published by . This book was released on 1992 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This study was developed for the Defense Modeling and Simulation Office (DMSO), which is under the Director, Defense Research and Engineering. It reflects discussions of the DMSO's Applications and Methodology Working Group, chaired by the author during this work. The study also draws upon discussions at two special meetings on verification, validation, and accreditation (VV & A) sponsored by the Military Operations Research Society (MORS) on October 15-18, 1990, and March 31 - April 2, 1992. VV & A is a difficult subject on which there is a broad range of opinions and practices (for example, VV & A of software used in space probes is different from VV & A of military simulations used for analysis). At the same time, a considerable convergence of view appears to be taking place and it is hoped that this study will accelerate that process. Comments and suggestions are therefore especially welcome. They can be sent by electronic mail to Paul_Davis.

Principles of Model Checking

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Publisher : MIT Press
ISBN 13 : 0262304031
Total Pages : 994 pages
Book Rating : 4.2/5 (623 download)

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Book Synopsis Principles of Model Checking by : Christel Baier

Download or read book Principles of Model Checking written by Christel Baier and published by MIT Press. This book was released on 2008-04-25 with total page 994 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive introduction to the foundations of model checking, a fully automated technique for finding flaws in hardware and software; with extensive examples and both practical and theoretical exercises. Our growing dependence on increasingly complex computer and software systems necessitates the development of formalisms, techniques, and tools for assessing functional properties of these systems. One such technique that has emerged in the last twenty years is model checking, which systematically (and automatically) checks whether a model of a given system satisfies a desired property such as deadlock freedom, invariants, and request-response properties. This automated technique for verification and debugging has developed into a mature and widely used approach with many applications. Principles of Model Checking offers a comprehensive introduction to model checking that is not only a text suitable for classroom use but also a valuable reference for researchers and practitioners in the field. The book begins with the basic principles for modeling concurrent and communicating systems, introduces different classes of properties (including safety and liveness), presents the notion of fairness, and provides automata-based algorithms for these properties. It introduces the temporal logics LTL and CTL, compares them, and covers algorithms for verifying these logics, discussing real-time systems as well as systems subject to random phenomena. Separate chapters treat such efficiency-improving techniques as abstraction and symbolic manipulation. The book includes an extensive set of examples (most of which run through several chapters) and a complete set of basic results accompanied by detailed proofs. Each chapter concludes with a summary, bibliographic notes, and an extensive list of exercises of both practical and theoretical nature.