Interpretation of Algebraic Inequalities: Practical Engineering Optimisation and Generating New Knowledge...

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Michael Todinov (Oxford Brookes University, UK)

Interpretation of Algebraic Inequalities

Practical Engineering Optimisation and Generating New Knowledge

Michael Todinov (Oxford Brookes University, UK)

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English

CRC Press
18 October 2021

Probability & statistics; Maths for engineers; Mechanical engineering; Environmental science, engineering & technology; Computer science

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.

By: Michael Todinov (Oxford Brookes University UK)
Imprint: CRC Press
Country of Publication: United Kingdom
Dimensions: Height: 229mm, Width: 152mm,
Weight: 335g
ISBN: 9781032059174
ISBN 10: 1032059176
Pages: 136
Publication Date: 18 October 2021
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

Chapter 1 Fundamental Approaches in Modelling Real Systems and Processes by Using Algebraic Inequalities. The Principle of Non-contradiction for Algebraic Inequalities Chapter 2 Basic Algebraic Inequalities Chapter 3 Generating Knowledge about Physical Systems by Meaningful Interpretation of Algebraic Inequalities Chapter 4 Enhancing Systems Performance by Interpretation of the Bergstrom Inequality Chapter 5 Enhancing Systems Performance by Interpretation of Other Algebraic Inequalities Based on Sub-Additive and Super-Additive Functions Chapter 6 Optimal Selection and Expected Time of Unsatisfied Demand by Meaningful Interpretation of Algebraic Inequalities Chapter 7 Enhancing Decision-Making by Interpretation of Algebraic Inequalities Chapter 8 Generating New Knowledge by Interpreting Algebraic Inequalities in Terms of Potential Energy

Professor Michael Todinov works on mechanical engineering, applied mathematics and computer science. After receiving a DEng from the University of Birmingham, he built a reputation working on reliability and risk, flow networks, probability and probabilistic fatigue and fracture. He is Professor of Mechanical Engineering at Oxford Brookes University, UK.