x

Our Privacy Policy has changed. By using this site, you agree to the Privacy Policy.

Principles of Optimal Design Modeling and Computation

ISBN-10: 0521627273
ISBN-13: 9780521627276
Edition: 2nd 2000 (Revised)
List price: $88.00 Buy it from $24.66
This item qualifies for FREE shipping

*A minimum purchase of $35 is required. Shipping is provided via FedEx SmartPost® and FedEx Express Saver®. Average delivery time is 1 – 5 business days, but is not guaranteed in that timeframe. Also allow 1 - 2 days for processing. Free shipping is eligible only in the continental United States and excludes Hawaii, Alaska and Puerto Rico. FedEx service marks used by permission."Marketplace" orders are not eligible for free or discounted shipping.

30 day, 100% satisfaction guarantee

If an item you ordered from TextbookRush does not meet your expectations due to an error on our part, simply fill out a return request and then return it by mail within 30 days of ordering it for a full refund of item cost.

Learn more about our returns policy

Description: The relationship between the mathematical model that describes a design and the solution methods that optimise it is at the centre of this study. The second edition presents an update of current practice in design project work.

New Starting from $85.93
what's this?
Rush Rewards U
Members Receive:
coins
coins
You have reached 400 XP and carrot coins. That is the daily max!
You could win $10,000

Get an entry for every item you buy, rent, or sell.

Study Briefs

Limited time offer: Get the first one free! (?)

All the information you need in one place! Each Study Brief is a summary of one specific subject; facts, figures, and explanations to help you learn faster.

Add to cart
Study Briefs
Calculus 1 Online content $4.95 $1.99
Add to cart
Study Briefs
Algebra Online content $4.95 $1.99
Add to cart
Study Briefs
Introduction to Logic Online content $4.95 $1.99
Add to cart
Study Briefs
Business Math Formulas Online content $4.95 $1.99

Customers also bought

Loading
Loading
Loading
Loading
Loading
Loading
Loading
Loading
Loading
Loading

Book details

List price: $88.00
Edition: 2nd
Copyright year: 2000
Publisher: Cambridge University Press
Publication date: 7/10/2000
Binding: Paperback
Pages: 416
Size: 7.00" wide x 9.75" long x 0.75" tall
Weight: 1.628
Language: English

The relationship between the mathematical model that describes a design and the solution methods that optimise it is at the centre of this study. The second edition presents an update of current practice in design project work.

Preface to the Second Edition
Notation
Optimization Models
Mathematical Modeling
The System Concept
Hierarchical Levels
Mathematical Models
Elements of Models
Analysis and Design Models
Decision Making
Design Optimization
The Optimal Design Concept
Formal Optimization Models
Multicriteria Models
Nature of Model Functions
The Question of Design Configuration
Systems and Components
Hierarchical System Decomposition
Feasibility and Boundedness
Feasible Domain
Boundedness
Activity
Topography of the Design Space
Interior and Boundary Optima
Local and Global Optima
Constraint Interaction
Modeling and Computation
Design Projects
Summary
Notes
Exercises
Model Construction
Modeling Data
Graphical and Tabular Data
Families of Curves
Numerically Generated Data
Best Fit Curves and Least Squares
Neural Networks
Kriging
Modeling a Drive Screw Linear Actuator
Assembling the Model Functions
Model Assumptions
Model Parameters
Negative Null Form
Modeling an Internal Combustion Engine
Flat Head Chamber Design
Compound Valve Head Chamber Design
Design of a Geartrain
Model Development
Model Summary
Model Reduction
Modeling Considerations Prior to Computation
Natural and Practical Constraints
Asymptotic Substitution
Feasible Domain Reduction
Summary
Notes
Exercises
Model Boundedness
Bounds, Extrema, and Optima
Well-Bounded Functions
Nonminimizing Lower Bound
Multivariable Extension
Air Tank Design
Constrained Optimum
Partial Minimization
Constraint Activity
Cases
Underconstrained Models
Monotonicity
First Monotonicity Principle
Criticality
Optimizing a Variable Out
Adding Constraints
Recognizing Monotonicity
Simple and Composite Functions
Integrals
Inequalities
Conditional Criticality
Multiple Criticality
Dominance
Relaxation
Uncriticality
Equality Constraints
Equality and Activity
Replacing Monotonic Equalities by Inequalities
Directing an Equality
Regional Monotonicity of Nonmonotonic Constraints
Variables Not in the Objective
Hydraulic Cylinder Design
A Monotonicity Principle for Nonobjective Variables
Nonmonotonic Functions
Model Preparation Procedure
Summary
Notes
Exercises
Interior Optima
Existence
The Weierstrass Theorem
Sufficiency
Local Approximation
Taylor Series
Quadratic Functions
Vector Functions
Optimality
First-Order Necessity
Second-Order Sufficiency
Nature of Stationary Points
Convexity
Convex Sets and Functions
Differentiable Functions
Local Exploration
Gradient Descent
Newton's Method
Searching along a Line
Gradient Method
Modified Newton's Method
Stabilization
Modified Cholesky Factorization
Trust Regions
Moving with Trust
Trust Region Algorithm
Summary
Notes
Exercises
Boundary Optima
Feasible Directions
Describing the Constraint Surface
Regularity
Tangent and Normal Hyperplanes
Equality Constraints
Reduced (Constrained) Gradient
Lagrange Multipliers
Curvature at the Boundary
Constrained Hessian
Second-Order Sufficiency
Bordered Hessians
Feasible Iterations
Generalized Reduced Gradient Method
Gradient Projection Method
Inequality Constraints
Karush-Kuhn-Tucker Conditions
Lagrangian Standard Forms
Geometry of Boundary Optima
Interpretation of KKT Conditions
Interpretation of Sufficiency Conditions
Linear Programming
Optimality Conditions
Basic LP Algorithm
Sensitivity
Sensitivity Coefficients
Summary
Notes
Exercises
Parametric and Discrete Optima
Parametric Solution
Particular Optimum and Parametric Procedures
Branching
Graphical Interpretation
Parametric Tests
The Monotonicity Table
Setting up
First New Table: Reduction
Second New Table: Two Directions and Reductions
Third New Table: Final Reduction
Branching by Conditional Criticality
The Stress-Bound Cases
Parametric Optimization Procedure
Functional Monotonicity Analysis
Explicit Algebraic Elimination
Implicit Numerical Solution
Optimization Using Finite Element Analysis
Discrete Variables
Discrete Design Activity and Optimality
Constraint Activity Extended
Discrete Local Optima
Transformer Design
Model Development
Preliminary Set Constraint Tightening
Constraint Derivation
Discriminant Constraints
Constraint Addition
Linear and Hyberbolic Constraints
Further Upper and Lower Bound Generation
Case Analysis
Constraint Substitution: Remaining Cases
Relaxation and Exhaustive Enumeration
Continuous Relaxation: Global Lower Bounds
Problem Completion: Exhaustive Enumeration
Summary
Notes
Exercises
Local Computation
Numerical Algorithms
Local and Global Convergence
Termination Criteria
Single Variable Minimization
Bracketing, Sectioning, and Interpolation
The Davies, Swann, and Campey Method
Inexact Line Search
Quasi-Newton Methods
Hessian Matrix Updates
The DFP and BFGS Formulas
Active Set Strategies
Adding and Deleting Constraints
Lagrange Multiplier Estimates
Moving along the Boundary
Penalties and Barriers
Barrier Functions
Penalty Functions
Augmented Lagrangian (Multiplier) Methods
Sequential Quadratic Programming
The Lagrange-Newton Equations
Enhancements of the Basic Algorithm
Solving the Quadratic Subproblem
Trust Regions with Constraints
Relaxing Constraints
Using Exact Penalty Functions
Modifying the Trust Region and Accepting Steps
Yuan's Trust Region Algorithm
Convex Approximation Algorithms
Convex Linearization
Moving Asymptotes
Choosing Moving Asymptotes and Move Limits
Summary
Notes
Exercises
Principles and Practice
Preparing Models for Numerical Computation
Modeling the Constraint Set
Modeling the Functions
Modeling the Objective
Computing Derivatives
Finite Differences
Automatic Differentiation
Scaling
Interpreting Numerical Results
Code Output Data
Degeneracy
Selecting Algorithms and Software
Partial List of Software Packages
Partial List of Internet Sites
Optimization Checklist
Problem Identification
Initial Problem Statement
Analysis Models
Optimal Design Model
Model Transformation
Local Iterative Techniques
Final Review
Concepts and Principles
Model Building
Model Analysis
Local Searching
Summary
Notes
References
Author Index
Subject Index

×
Free shipping on orders over $35*

*A minimum purchase of $35 is required. Shipping is provided via FedEx SmartPost® and FedEx Express Saver®. Average delivery time is 1 – 5 business days, but is not guaranteed in that timeframe. Also allow 1 - 2 days for processing. Free shipping is eligible only in the continental United States and excludes Hawaii, Alaska and Puerto Rico. FedEx service marks used by permission."Marketplace" orders are not eligible for free or discounted shipping.

Learn more about the TextbookRush Marketplace.

×