Risk And Uncertainty Reduction By Using Algebraic Inequalities

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Risk And Uncertainty Reduction By Using Algebraic Inequalities
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Author : Michael T. Todinov
language : en
Publisher: CRC Press
Release Date : 2020-06-02
Risk And Uncertainty Reduction By Using Algebraic Inequalities written by Michael T. Todinov and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06-02 with Technology & Engineering categories.
This book covers the application of algebraic inequalities for reliability improvement and for uncertainty and risk reduction. It equips readers with powerful domain-independent methods for reducing risk based on algebraic inequalities and demonstrates the significant benefits derived from the application for risk and uncertainty reduction. Algebraic inequalities: • Provide a powerful reliability improvement, risk and uncertainty reduction method that transcends engineering and can be applied in various domains of human activity • Present an effective tool for dealing with deep uncertainty related to key reliability-critical parameters of systems and processes • Permit meaningful interpretations which link abstract inequalities with the real world • Offer a tool for determining tight bounds for the variation of risk-critical parameters and complying the design with these bounds to avoid failure • Allow optimising designs and processes by minimising the deviation of critical output parameters from their specified values and maximising their performance This book is primarily for engineering professionals and academic researchers in virtually all existing engineering disciplines.
Interpretation Of Algebraic Inequalities
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Author : Michael T. Todinov
language : en
Publisher: CRC Press
Release Date : 2021-10-13
Interpretation Of Algebraic Inequalities written by Michael T. Todinov and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-13 with Technology & Engineering categories.
This book introduces a new method based on algebraic inequalities for optimising engineering systems and processes, with applications in mechanical engineering, materials science, electrical engineering, reliability engineering, risk management and operational research. This book shows that the application potential of algebraic inequalities in engineering and technology is far-reaching and certainly not restricted to specifying design constraints. Algebraic inequalities can handle deep uncertainty associated with design variables and control parameters. With the method presented in this book, powerful new knowledge about systems and processes can be generated through meaningful interpretation of algebraic inequalities. This book demonstrates how the generated knowledge can be put into practice through covering the algebraic inequalities suitable for interpretation in different contexts and describing how to apply this knowledge to enhance system and process performance. Depending on the specific interpretation, knowledge, applicable to different systems from different application domains, can be generated from the same algebraic inequality. Furthermore, an important class of algebraic inequalities has been introduced that can be used for optimising systems and processes in any area of science and technology provided that the variables and the separate terms of the inequalities are additive quantities. With the presented various examples and solutions, this book will be of interest to engineers, students and researchers in the field of optimisation, engineering design, reliability engineering, risk management and operational research.
Reverse Engineering Of Algebraic Inequalities
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Author : Michael T. Todinov
language : en
Publisher: CRC Press
Release Date : 2024-12-30
Reverse Engineering Of Algebraic Inequalities written by Michael T. Todinov and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-12-30 with Technology & Engineering categories.
The second edition of Reverse Engineering of Algebraic Inequalities is a comprehensively updated new edition demonstrating the exploration of new physical realities in various unrelated domains of human activity through reverse engineering of algebraic inequalities. This book introduces a groundbreaking method for generating new knowledge in science and technology that relies on reverse engineering of algebraic inequalities. By using this knowledge, the purpose is to optimize systems and processes in diverse fields such as mechanical engineering, structural engineering, physics, electrical engineering, reliability engineering, risk management and economics. This book will provide the reader with methods to enhance the reliability of systems in total absence of knowledge about the reliabilities of the components building the systems; to develop light-weight structures with very big materials savings; to develop structures with very big load-bearing capacity; to enhance process performance and decision-making; to obtain new useful physical properties; and to correct serious flaws in the current practice for predicting system reliability. This book will greatly benefit professionals and mathematical modelling researchers working on optimising processes and systems in diverse disciplines. It will also benefit undergraduate students introduced to mathematical modelling, post-graduate students and post-doctoral researchers working in the area of mathematical modelling, mechanical engineering, reliability engineering, structural engineering, risk management, and engineering design. .
Handbook Of Advanced Performability Engineering
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Author : Krishna B. Misra
language : en
Publisher: Springer Nature
Release Date : 2020-11-16
Handbook Of Advanced Performability Engineering written by Krishna B. Misra and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-16 with Technology & Engineering categories.
This book considers all aspects of performability engineering, providing a holistic view of the activities associated with a product throughout its entire life cycle of the product, as well as the cost of minimizing the environmental impact at each stage, while maximizing the performance. Building on the editor's previous Handbook of Performability Engineering, it explains how performability engineering provides us with a framework to consider both dependability and sustainability in the optimal design of products, systems and services, and explores the role of performability in energy and waste minimization, raw material selection, increased production volume, and many other areas of engineering and production. The book discusses a range of new ideas, concepts, disciplines, and applications in performability, including smart manufacturing and Industry 4.0; cyber-physical systems and artificial intelligence; digital transformation of railways; and asset management. Given its broad scope, it will appeal to researchers, academics, industrial practitioners and postgraduate students involved in manufacturing, engineering, and system and product development.
Risk And Uncertainty Reduction By Using Algebraic Inequalities
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Author : Michael T. Todinov
language : en
Publisher: CRC Press
Release Date : 2020-06-02
Risk And Uncertainty Reduction By Using Algebraic Inequalities written by Michael T. Todinov and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06-02 with Mathematics categories.
This book covers the application of algebraic inequalities for reliability improvement and for uncertainty and risk reduction. It equips readers with powerful domain-independent methods for reducing risk based on algebraic inequalities and demonstrates the significant benefits derived from the application for risk and uncertainty reduction. Algebraic inequalities: • Provide a powerful reliability improvement, risk and uncertainty reduction method that transcends engineering and can be applied in various domains of human activity • Present an effective tool for dealing with deep uncertainty related to key reliability-critical parameters of systems and processes • Permit meaningful interpretations which link abstract inequalities with the real world • Offer a tool for determining tight bounds for the variation of risk-critical parameters and complying the design with these bounds to avoid failure • Allow optimising designs and processes by minimising the deviation of critical output parameters from their specified values and maximising their performance This book is primarily for engineering professionals and academic researchers in virtually all existing engineering disciplines.
Variational Inequalities In Management Science And Finance
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Author : Andrianos E. Tsekrekos
language : en
Publisher: Springer Nature
Release Date : 2024-12-20
Variational Inequalities In Management Science And Finance written by Andrianos E. Tsekrekos and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-12-20 with Business & Economics categories.
This book provides a rigorous introduction to the theory, computation, and applications of variational inequalities (VIs), with a focus on applications in management science and finance. It aims to bridge the gap between the abstract mathematical treatments of the subject and simplistic, non-rigorous approaches often used in financial economics or managerial literature. Building on fundamental examples of concrete applications drawn from management science and finance, the book gradually develops the connection between optimal stopping problems and variational inequalities. It provides precise results on their derivation, solution properties, and their use to derive optimal policies in general frameworks of stochastic factors driving the state processes. Emphasis is also placed on the numerical treatment and approximation of VIs. All technical results are illustrated in detail for the characteristic problems presented at the beginning as motivating examples. It also offers a brief introduction to more advanced topics, including VIs for multi-scale problems and VIs related to optimal stopping problems under model uncertainty. This book will be of interest to graduate students and researchers who wish for a quick, yet thorough introduction to the field. Practitioners who want to familiarise themselves with applications of VIs in management science and finance will also find this book useful.
Model Risk Management
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Author : Ludger Rüschendorf
language : en
Publisher: Cambridge University Press
Release Date : 2024-01-25
Model Risk Management written by Ludger Rüschendorf and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-01-25 with Business & Economics categories.
Develop the tools to quantify model risk, to study its effects in finance, insurance, and engineering, and to reduce it.
Uncertainty Quantification In Variational Inequalities
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Author : Joachim Gwinner
language : en
Publisher: CRC Press
Release Date : 2021-12-21
Uncertainty Quantification In Variational Inequalities written by Joachim Gwinner and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-21 with Mathematics categories.
Uncertainty Quantification (UQ) is an emerging and extremely active research discipline which aims to quantitatively treat any uncertainty in applied models. The primary objective of Uncertainty Quantification in Variational Inequalities: Theory, Numerics, and Applications is to present a comprehensive treatment of UQ in variational inequalities and some of its generalizations emerging from various network, economic, and engineering models. Some of the developed techniques also apply to machine learning, neural networks, and related fields. Features First book on UQ in variational inequalities emerging from various network, economic, and engineering models Completely self-contained and lucid in style Aimed for a diverse audience including applied mathematicians, engineers, economists, and professionals from academia Includes the most recent developments on the subject which so far have only been available in the research literature
Risk Modeling Assessment And Management
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Author : Yacov Y. Haimes
language : en
Publisher: John Wiley & Sons
Release Date : 2011-09-20
Risk Modeling Assessment And Management written by Yacov Y. Haimes and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-20 with Technology & Engineering categories.
Examines timely multidisciplinary applications, problems, and case histories in risk modeling, assessment, and management Risk Modeling, Assessment, and Management, Third Edition describes the state of the art of risk analysis, a rapidly growing field with important applications in engineering, science, manufacturing, business, homeland security, management, and public policy. Unlike any other text on the subject, this definitive work applies the art and science of risk analysis to current and emergent engineering and socioeconomic problems. It clearly demonstrates how to quantify risk and construct probabilities for real-world decision-making problems, including a host of institutional, organizational, and political issues. Avoiding higher mathematics whenever possible, this important new edition presents basic concepts as well as advanced material. It incorporates numerous examples and case studies to illustrate the analytical methods under discussion and features restructured and updated chapters, as well as: A new chapter applying systems-driven and risk-based analysis to a variety of Homeland Security issues An accompanying FTP site—developed with Professor Joost Santos—that offers 150 example problems with an Instructor's Solution Manual and case studies from a variety of journals Case studies on the 9/11 attack and Hurricane Katrina An adaptive multiplayer Hierarchical Holographic Modeling (HHM) game added to Chapter Three This is an indispensable resource for academic, industry, and government professionals in such diverse areas as homeland and cyber security, healthcare, the environment, physical infrastructure systems, engineering, business, and more. It is also a valuable textbook for both undergraduate and graduate students in systems engineering and systems management courses with a focus on our uncertain world.
Math Snacks Fun And Engaging Activities For Understanding Algebraic Concepts
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Author : Pasquale De Marco
language : en
Publisher: Pasquale De Marco
Release Date : 2025-03-17
Math Snacks Fun And Engaging Activities For Understanding Algebraic Concepts written by Pasquale De Marco and has been published by Pasquale De Marco this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-17 with Mathematics categories.
"Math Snacks: Fun and Engaging Activities for Understanding Algebraic Concepts" is an innovative and interactive guide that transforms the daunting world of algebra into a captivating adventure. This book is not just a collection of dry theories and formulas; it's a treasure chest filled with engaging activities, witty explanations, and thought-provoking puzzles that bring algebra to life. Step into the world of "Math Snacks" and discover a dynamic learning experience that will ignite your curiosity and expand your mathematical horizons. With each chapter, you'll embark on a new mathematical adventure, exploring concepts such as variables, expressions, equations, polynomials, factoring, quadratic equations, inequalities, functions, and systems of equations. Unlike traditional textbooks that can be overwhelming and intimidating, "Math Snacks" takes a refreshing approach, presenting algebra in a fun and accessible manner. Complex topics are broken down into bite-sized chunks, making them easy to understand and apply. Engaging activities and puzzles challenge you to think critically and creatively, fostering a deeper comprehension of algebraic concepts. This book is not just for students struggling with algebra; it's also a valuable resource for anyone looking to refresh their mathematical skills or gain a newfound appreciation for the subject. With its clear explanations, witty anecdotes, and a touch of humor, "Math Snacks" makes learning algebra an enjoyable and rewarding experience. Whether you're a high school student preparing for exams, an adult learner seeking to advance your career, or simply someone curious about the world of mathematics, "Math Snacks" is the perfect companion. Open its pages and unlock the secrets of algebra, one delicious snack at a time! Join the growing community of algebra enthusiasts who have discovered the joy of learning with "Math Snacks." With its engaging activities, clear explanations, and a dash of humor, this book is your ticket to algebraic success. So, grab a copy today and start your mathematical adventure! If you like this book, write a review!