fundamental-engineering-optimization-methods.pdf

This book covers the fundamentals of optimization

Info icon This preview shows pages 8–11. Sign up to view the full content.

This book covers the fundamentals of optimization methods for solving engineering problems. Written by an engineer, it introduces fundamentals of mathematical optimization methods in a manner that engineers can easily understand. The treatment of the topics presented here is both selective and concise. The material is presented roughly at senior undergraduate level. Readers are expected to have familiarity with linear algebra and multivariable calculus. Background material has been reviewed in Chapter 2. The methods covered in this book include: a) analytical methods that are based on calculus of variations; b) graphical methods that are useful when minimizing functions involving a small number of variables; and c) iterative methods that are computer friendly, yet require a good understanding of the problem. Both linear and nonlinear methods are covered. Where necessary, engineering examples have been used to build an understanding of how these methods can be applied. Though not written as text, it may be used as text if supplemented by additional reading and exercise problems from the references.
Image of page 8

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

Download free eBooks at bookboon.com Click on the ad to read more Fundamental Engineering Optimization Methods 9 Preface There are many good references available on the topic of optimization methods. A short list of prominent books and internet resources appears in the reference section. The following references are main sources for this manuscript and the topics covered therein: Arora (2012); Belegundu and Chandrupatla (2012); Chong and Zak (2013); and, Griva, Nash & Sofer (2009). In addition, lecture notes of eminent professors who have regularly taught optimization classes are available on the internet. For details, the interested reader may refer to these references or other web resources on the topic.
Image of page 9
Download free eBooks at bookboon.com Fundamental Engineering Optimization Methods 10 Engineering esign Optimization 1 Engineering Design Optimization This chapter introduces the topic of optimization through example problems that have been selected from various fields including mathematics, economics, computer science, and engineering. Learning Objectives: The learning goal in this chapter is to develop an appreciation for the topic as well as the diversity and usefulness of the mathematical and computational optimization techniques. 1.1 Introduction Engineering system design comprises selecting one or more variables to meet a set of objectives. A better design is obtained if an appropriate cost function can be reduced. The design is optimum when the cost is the lowest among all feasible designs. Almost always, the design choices are limited due to resource constraints, such as material and labor constraints, as well as physical and other restrictions. A feasible region in the design space is circumscribed by the constraint boundaries. More importantly, both the cost function and the constraints can be cast as mathematical functions involving design variables. The resulting mathematical optimization problem can then be solved using methods discussed in this book.
Image of page 10

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

Image of page 11
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern