Engineering Optimization: Applications, Methods, and Analysis

  • 14h 2m
  • R. Russell Rhinehart
  • John Wiley & Sons (UK)
  • 2018

An Application-Oriented Introduction to Essential Optimization Concepts and Best Practices

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.

About the Author

R. Russell Rhinehart is an Emeritus Professor and Amoco Chair in the School of Chemical Engineering at Oklahoma State University. He was named as one of InTECH's 50 Most Influential Industry Innovators in 2004, and was inducted into the Automation Hall of Fame for the Process Industries in 2005. His research focuses on process improvement through modeling, optimization and control, and product improvement through modeling and design.

In this Book

  • Nomenclature
  • Optimization—Introduction and Concepts
  • Optimization Application Diversity and Complexity
  • Validation—Knowing That the Answer is Right
  • Univariate (Single DV) Search Techniques
  • Path Analysis
  • Stopping and Convergence Criteria—1-D Applications
  • Multidimension Application Introduction and the Gradient
  • Elementary Gradient-Based Optimizers—CSLS and ISD
  • Second-Order Model-Based Optimizers—SQ and NR
  • Gradient-Based Optimizer Solutions—LM, RLM, CG, BFGS, RG, and GRG
  • Direct Search Techniques
  • Linear Programming
  • Dynamic Programming
  • Genetic Algorithms and Evolutionary Computation
  • Intuitive Optimization
  • Surface Analysis II
  • Convergence Criteria 2—N-D Applications
  • Enhancements to Optimizers
  • Scaled Variables and Dimensional Consistency
  • Economic Optimization
  • Multiple OF and Constraint Applications
  • Constraints
  • Multiple Optima
  • Stochastic Objective Functions
  • Effects of Uncertainty
  • Optimization of Probable Outcomes and Distribution Characteristics
  • Discrete and Integer Variables
  • Class Variables
  • Regression
  • Perspective
  • Response Surface Aberrations
  • Identifying the Models, OF, DV, Convergence Criteria, and Constraints
  • Evaluating Optimizers
  • Troubleshooting Optimizers
  • Analysis of Leapfrogging
  • Case Study 1—Economic Optimization of a Pipe System
  • Case Study 2—Queuing Study
  • Case Study 3—Retirement Study
  • Case Study 4—A Goddard Rocket Study
  • Case Study 5—Reservoir
  • Case Study 6—Area Coverage
  • Case Study 7—Approximating Series Solution to an ODE
  • Case Study 8—Horizontal Tank Vapor–Liquid Separator
  • Case Study 9—In Vitro Fertilization
  • Case Study 10—Data Reconciliation
  • References and Additional Resources