Interpretation of Algebraic Inequalities: Practical Engineering Optimisation and Generating New Knowledge
暫譯: 代數不等式的詮釋:實用工程優化與新知識的生成
Todinov, Michael
- 出版商: CRC
- 出版日期: 2021-10-18
- 售價: $3,630
- 貴賓價: 9.5 折 $3,449
- 語言: 英文
- 頁數: 136
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 1032059176
- ISBN-13: 9781032059174
海外代購書籍(需單獨結帳)
商品描述
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.
Theis 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. Theis 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, theis book will be of interest to engineers, students and researchers in the field of optimisation, engineering design, reliability engineering, risk management and operational research.
商品描述(中文翻譯)
本書介紹了一種基於代數不等式的新方法,用於優化工程系統和過程,應用於機械工程、材料科學、電氣工程、可靠性工程、風險管理和運營研究等領域。
本書顯示了代數不等式在工程和技術中的應用潛力是深遠的,並且絕不僅限於指定設計約束。代數不等式能夠處理與設計變數和控制參數相關的深度不確定性。通過本書所提出的方法,可以通過對代數不等式的有意義解釋,生成有關系統和過程的強大新知識。本書展示了如何將生成的知識付諸實踐,涵蓋適合在不同背景下解釋的代數不等式,並描述如何應用這些知識以提升系統和過程的性能。根據具體的解釋,來自不同應用領域的不同系統可以從相同的代數不等式中生成知識。此外,本書介紹了一類重要的代數不等式,這些不等式可用於優化任何科學和技術領域的系統和過程,前提是變數和不等式的各個項是可加的量。
通過提供各種示例和解決方案,本書將吸引優化、工程設計、可靠性工程、風險管理和運營研究領域的工程師、學生和研究人員的興趣。
作者簡介
作者簡介(中文翻譯)
邁克爾·托丁諾夫教授專注於機械工程、應用數學和計算機科學。在伯明翰大學獲得工程博士(DEng)後,他在可靠性與風險、流量網絡、概率及概率疲勞與斷裂方面建立了良好的聲譽。他是英國牛津布魯克斯大學的機械工程教授。