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Illustration of Nonlinear Robust Optimization Models in Engineering Design

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Release : 2011
Genre : Nonlinear theories
Kind : eBook
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Book Synopsis Illustration of Nonlinear Robust Optimization Models in Engineering Design by : Bhanu Kiran Susarla

Download or read book Illustration of Nonlinear Robust Optimization Models in Engineering Design written by Bhanu Kiran Susarla. This book was released on 2011. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear Optimization

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Release : 2020-12-08
Genre : Mathematics
Kind : eBook
Book Rating : 968/5 ( reviews)

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Book Synopsis Nonlinear Optimization by : William P. Fox

Download or read book Nonlinear Optimization written by William P. Fox. This book was released on 2020-12-08. Available in PDF, EPUB and Kindle. Book excerpt: Optimization is the act of obtaining the "best" result under given circumstances. In design, construction, and maintenance of any engineering system, engineers must make technological and managerial decisions to minimize either the effort or cost required or to maximize benefits. There is no single method available for solving all optimization problems efficiently. Several optimization methods have been developed for different types of problems. The optimum-seeking methods are mathematical programming techniques (specifically, nonlinear programming techniques). Nonlinear Optimization: Models and Applications presents the concepts in several ways to foster understanding. Geometric interpretation: is used to re-enforce the concepts and to foster understanding of the mathematical procedures. The student sees that many problems can be analyzed, and approximate solutions found before analytical solutions techniques are applied. Numerical approximations: early on, the student is exposed to numerical techniques. These numerical procedures are algorithmic and iterative. Worksheets are provided in Excel, MATLAB®, and MapleTM to facilitate the procedure. Algorithms: all algorithms are provided with a step-by-step format. Examples follow the summary to illustrate its use and application. Nonlinear Optimization: Models and Applications: Emphasizes process and interpretation throughout Presents a general classification of optimization problems Addresses situations that lead to models illustrating many types of optimization problems Emphasizes model formulations Addresses a special class of problems that can be solved using only elementary calculus Emphasizes model solution and model sensitivity analysis About the author: William P. Fox is an emeritus professor in the Department of Defense Analysis at the Naval Postgraduate School. He received his Ph.D. at Clemson University and has taught at the United States Military Academy and at Francis Marion University where he was the chair of mathematics. He has written many publications, including over 20 books and over 150 journal articles. Currently, he is an adjunct professor in the Department of Mathematics at the College of William and Mary. He is the emeritus director of both the High School Mathematical Contest in Modeling and the Mathematical Contest in Modeling.

Applications of Robust Linear and Nonlinear Optimization in Engineering Design

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Release : 2011
Genre : Robust optimization
Kind : eBook
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Book Synopsis Applications of Robust Linear and Nonlinear Optimization in Engineering Design by : Harshal Avinash Mungikar

Download or read book Applications of Robust Linear and Nonlinear Optimization in Engineering Design written by Harshal Avinash Mungikar. This book was released on 2011. Available in PDF, EPUB and Kindle. Book excerpt:

Global Optimization in Engineering Design

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Release : 2013-04-17
Genre : Computers
Kind : eBook
Book Rating : 314/5 ( reviews)

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Book Synopsis Global Optimization in Engineering Design by : Ignacio E. Grossmann

Download or read book Global Optimization in Engineering Design written by Ignacio E. Grossmann. This book was released on 2013-04-17. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Programming has been of significant interest and relevance in engineering, an area that is very rich in challenging optimization problems. In particular, many design and operational problems give rise to nonlinear and mixed-integer nonlinear optimization problems whose modeling and solu tion is often nontrivial. Furthermore, with the increased computational power and development of advanced analysis (e. g. , process simulators, finite element packages) and modeling systems (e. g. , GAMS, AMPL, SPEEDUP, ASCEND, gPROMS), the size and complexity of engineering optimization models is rapidly increasing. While the application of efficient local solvers (nonlinear program ming algorithms) has become widespread, a major limitation is that there is often no guarantee that the solutions that are generated correspond to global optima. In some cases finding a local solution might be adequate, but in others it might mean incurring a significant cost penalty, or even worse, getting an incorrect solution to a physical problem. Thus, the need for finding global optima in engineering is a very real one. It is the purpose of this monograph to present recent developments of tech niques and applications of deterministic approaches to global optimization in engineering. The present monograph is heavily represented by chemical engi neers; and to a large extent this is no accident. The reason is that mathematical programming is an active and vibrant area of research in chemical engineering. This trend has existed for about 15 years.

Robust Optimization-Directed Design

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Release : 2006-06-04
Genre : Mathematics
Kind : eBook
Book Rating : 543/5 ( reviews)

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Book Synopsis Robust Optimization-Directed Design by : Andrew J. Kurdila

Download or read book Robust Optimization-Directed Design written by Andrew J. Kurdila. This book was released on 2006-06-04. Available in PDF, EPUB and Kindle. Book excerpt: Robust design—that is, managing design uncertainties such as model uncertainty or parametric uncertainty—is the often unpleasant issue crucial in much multidisciplinary optimal design work. Recently, there has been enormous practical interest in strategies for applying optimization tools to the development of robust solutions and designs in several areas, including aerodynamics, the integration of sensing (e.g., laser radars, vision-based systems, and millimeter-wave radars) and control, cooperative control with poorly modeled uncertainty, cascading failures in military and civilian applications, multi-mode seekers/sensor fusion, and data association problems and tracking systems. The contributions to this book explore these different strategies. The expression "optimization-directed” in this book’s title is meant to suggest that the focus is not agonizing over whether optimization strategies identify a true global optimum, but rather whether these strategies make significant design improvements.

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