| Description |
1 online resource (xxxvii, 731 pages) |
| Note |
Includes index. |
| Contents |
Intro; Title Page; Copyright Page; Contents; Preface; Acknowledgments; Nomenclature; About the Companion Website; Section 1 Introductory Concepts; Chapter 1 Optimization: Introduction and Concepts; 1.1 Optimization and Terminology; 1.2 Optimization Concepts and Definitions; 1.3 Examples; 1.4 Terminology Continued; 1.4.1 Constraint; 1.4.2 Feasible Solutions; 1.4.3 Minimize or Maximize; 1.4.4 Canonical Form of the Optimization Statement; 1.5 Optimization Procedure; 1.6 Issues That Shape Optimization Procedures; 1.7 Opposing Trends; 1.8 Uncertainty |
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1.9 Over- and Under-specification in Linear Equations1.10 Over- and Under-specification in Optimization; 1.11 Test Functions; 1.12 Significant Dates in Optimization; 1.13 Iterative Procedures; 1.14 Takeaway; 1.15 Exercises; Chapter 2 Optimization Application Diversity and Complexity; 2.1 Optimization; 2.2 Nonlinearity; 2.3 Min, Max, Minâ#x80;#x93;Max, Maxâ#x80;#x93;Min, ; 2.4 Integers and Other Discretization; 2.5 Conditionals and Discontinuities: Cliffs Ridges/Valleys; 2.6 Procedures, Not Equations; 2.7 Static and Dynamic Models; 2.8 Path Integrals |
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2.9 Economic Optimization and Other Nonadditive Cost Functions2.10 Reliability; 2.11 Regression; 2.12 Deterministic and Stochastic; 2.13 Experimental w.r.t. Modeled OF; 2.14 Single and Multiple Optima; 2.15 Saddle Points; 2.16 Inflections; 2.17 Continuum and Discontinuous DVs; 2.18 Continuum and Discontinuous Models; 2.19 Constraints and Penalty Functions; 2.20 Ranks and Categorization: Discontinuous OFs; 2.21 Underspecified OFs; 2.22 Takeaway; 2.23 Exercises; Chapter 3 Validation: Knowing That the Answer Is Right; 3.1 Introduction; 3.2 Validation; 3.3 Advice on Becoming Proficient |
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3.4 Takeaway3.5 Exercises; Section 2 Univariate Search Techniques; Chapter 4 Univariate (Single DV) Search Techniques; 4.1 Univariate (Single DV); 4.2 Analytical Method of Optimization; 4.2.1 Issues with the Analytical Approach; 4.3 Numerical Iterative Procedures; 4.3.1 NewtonÂś Methods; 4.3.2 Successive Quadratic (A Surrogate Model or Approximating Model Method); 4.4 Direct Search Approaches; 4.4.1 Bisection Method; 4.4.2 Golden Section Method; 4.4.3 Perspective at This Point; 4.4.4 Heuristic Direct Search; 4.4.5 Leapfrogging; 4.4.6 LF for Stochastic Functions |
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4.5 Perspectives on Univariate Search Methods4.6 Evaluating Optimizers; 4.7 Summary of Techniques; 4.7.1 Analytical Method; 4.7.2 NewtonÂś (and Variants Like Secant); 4.7.3 Successive Quadratic; 4.7.4 Golden Section Method; 4.7.5 Heuristic Direct; 4.7.6 Leapfrogging; 4.8 Takeaway; 4.9 Exercises; Chapter 5 Path Analysis; 5.1 Introduction; 5.2 Path Examples; 5.3 Perspective About Variables; 5.4 Path Distance Integral; 5.5 Accumulation along a Path; 5.6 Slope along a Path; 5.7 Parametric Path Notation; 5.8 Takeaway; 5.9 Exercises; Chapter 6 Stopping and Convergence Criteria: 1-D Applications |
| Summary |
Optimization is an inherent human tendency that gained new life after the advent of calculus; now, as the world grows increasingly reliant on complex systems, optimization has become both more important and more challenging than ever before. Engineering Optimization provides a practically-focused introduction to modern engineering optimization best practices, covering fundamental analytical and numerical techniques throughout each stage of the optimization process. Although essential algorithms are explained in detail, the focus lies more in the human function: how to create an appropriate objective function, choose decision variables, identify and incorporate constraints, define convergence, and other critical issues that define the success or failure of an optimization project. Examples, exercises, and homework throughout reinforce the author's "do, not study" approach to learning, underscoring the application-oriented discussion that provides a deep, generic understanding of the optimization process that can be applied to any field. Providing excellent reference for students or professionals, Engineering Optimization: Describes and develops a variety of algorithms, including gradient based (such as Newton's, and Levenberg-Marquardt), direct search (such as Hooke-Jeeves, Leapfrogging, and Particle Swarm), along with surrogate functions for surface characterization Provides guidance on optimizer choice by application, and explains how to determine appropriate optimizer parameter values Details current best practices for critical stages of specifying an optimization procedure, including decision variables, defining constraints, and relationship modeling Provides access to software and Visual Basic macros for Excel on the companion website, along with solutions to examples presented in the book Clear explanations, explicit equation derivations, and practical examples make this book ideal for use as part of a class or self-study, assuming a basic understanding of statistics, calculus, computer programming, and engineering models. Anyone seeking best practices for "making the best choices" will find value in this introductory resource. |
| Subject |
Engineering -- Mathematical models.
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Mathematical optimization.
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Ingénierie -- Modèles mathématiques. |
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Optimisation mathématique. |
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Engineering -- Mathematical models |
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Mathematical optimization |
| Other Form: |
Print version: Rhinehart, R. Russell, 1946- Engineering optimization. First edition. Hoboken, NJ : John Wiley & Sons, 2018 9781118936337 (DLC) 2017052555 |
| ISBN |
9781118936313 (pdf) |
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1118936310 |
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9781118936320 (epub) |
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1118936329 |
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9781523119189 (electronic bk.) |
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1523119187 (electronic bk.) |
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1118936337 |
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9781118936337 |
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(cloth) |
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