Design Optimization

Design Optimization

1st Edition - December 27, 1985

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  • Editor: John Gero
  • eBook ISBN: 9780323156523

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Design Optimization deals with the application of the ideas of optimization to design, taking as its central theme the notion that design can be treated as a goal-seeking, decision-making activity. Emphasis is on design optimization rather than on optimization techniques. This book consists of nine chapters, each focusing on a particular class of design optimization and demonstrating how design optimization problems are formulated and solved. The applications range from architecture and structural engineering to mechanical engineering, chemical engineering, building design and layout, and siting policy. The first five chapters are all concerned with design problems where it is convenient to express the goals in a single objective or criterion to be optimized. In particular, optimal space planning and shape optimization of structures are discussed, along with approximation concepts for optimum structural design; application of nonlinear programming to design; and generalized Steiner network problems in engineering design. The last four chapters focus on multicriteria programming; multicriteria optimization for engineering and architectural design; and a system for integrated optimal design. This monograph will be of interest to designers and others concerned with the use of optimization concepts and tools in design optimization.

Table of Contents

  • Contributors


    1. Optimal Spatial Arrangement as a Quadratic Assignment Problem

    1.1 Introduction

    1.2 Overview and History of the Automated Layout Problem

    1.3 The Quadratic Assignment Optimization Problem

    1.3.1 General Formulation of the Problem

    1.3.2 Formulation of a Space Problem

    1.4 Solution Procedures

    1.4.1 Improvement Procedures

    1.4.2 Constructive Procedures

    1.4.3 Combination of Techniques

    1.4.4 Issues Specific to the Solution of Space Planning Problems

    1.5 Implementation of a Space Planning System: A Case Study

    1.5.1 Data Specification

    1.5.2 Solution Algorithm

    1.5.3 Computer Output

    1.5.4 Integration into the Design Process

    1.6 An Interactive Graphic Approach to the Layout Problem

    1.6.1 The Interactive Space Planning Method

    1.6.2 Discussion of the Interactive Method

    1.7 Summary

    1.8 References

    2. Shape Optimization of Structures

    2.1 Introduction

    2.2 Fixed but Undetermined Geometry

    2.2.1 Iterative Structural Design

    2.2.2 Some Examples

    2.3 Gradient Methods

    2.3.1 Some Examples

    2.4 Optimal Structural Topology

    2.4.1 Linguistic Methods

    2.4.2 A Matrix Method

    2.5 Optimal Shapes for Holes

    2.6 References

    3. Approximation Concepts for Optimum Structural Design

    3.1 Introduction

    3.2 Problem Statement

    3.3 Approximate Equilibrium Models

    3.3.1 Explicit Displacement Functions

    3.3.2 Solution of the EAEP

    3.4 Approximate Compatibility Model

    3.4.1 Solution of the EACP

    3.4.2 Solution of the Fixed Geometry Problem

    3.4.3 Consideration of Compatibility Conditions

    3.5 Concluding Remarks

    3.6 References

    4. Some Conclusions about the Application of Nonlinear Programming to Design

    4.1 Introduction

    4.2 Typical Process Model

    4.3 The Nonlinear Programming Problem

    4.4 Methods of Solving Nonlinear Programming Problems

    4.4.1 Generalized Reduced Gradient Method

    4.4.2 Method of Multipliers

    4.4.3 Successive Quadratic Approximation

    4.5 Some Practical Problems and their Resolution

    4.5.1 How to Reduce the Dimensionality of the Design Problem

    4.5.2 Use of Databases and Flow-sheet Simulators

    4.5.3 How to Avoid Taking Derivatives

    4.5.4 Requirements for a Unique Solution

    4.5.5 Accuracy of the Solution

    4.5.6 Sensitivity

    4.5.7 Criterion and Constraints (or Their Derivatives) May Become Unbounded

    4.5.8 Scaling Problems

    4.5.9 Selection of a Starting Vector for Optimization

    4.5.10 Numerical Computational Errors

    4.5.11 Degeneracy

    4.5.12 Ill-Conditioning of Matrices

    4.5.13 Undefined Arguments

    4.6 Recommended Codes for Optimal Design

    4.7 References

    5. Generalized Steiner Network Problems in Engineering Design

    5.1 Introduction

    5.1.1 Origin of Steiner Problem

    5.1.2 Problem Structure

    5.1.3 Applications Overview

    5.2 Computational Geometry Approach

    5.2.1 Definitions

    5.2.2 Voronoi and Delaunay Importance

    5.2.3 General Algorithmic Relationships

    5.2.4 Algorithm Complexity

    5.3 Undirected Steiner Networks

    5.3.1 ESMT Mathematical Model

    5.3.2 RSMT Mathematical Model

    5.3.3 LpSMT Mathematical Model

    5.4 Directed Steiner Networks

    5.4.1 DSMT Mathematical Model

    5.4.2 DSMT Heuristics

    5.5 Steiner Interference Problems

    5.5.1 SMTO Mathematical Model

    5.6 Summary and Conclusions

    5.7 References

    6. Multicriteria Programming: Brief Review and Application

    6.1 Introduction

    6.2 Multicriteria Techniques

    6.2.1 Multicriteria Choice Methods

    6.2.2 Multicriteria Programming

    6.2.3 Terminology for Multicriteria Programming

    6.2.4 Categorization of Multicriteria Programming Methods

    6.2.5 Generating Methods

    6.2.6 Preference-Based Methods

    6.2.7 Summary

    6.3 An Application of the Multicriteria Programming to Nuclear Reactor Siting

    6.3.1 The Problem

    6.3.2 Methodology

    6.3.3 Analysis and Results

    6.4 References

    7. Multicriteria Optimization for Engineering Design

    7.1 Introduction

    7.2 Multicriteria Mathematical Programming Problem

    7.2.1 Problem Formulation

    7.2.2 Optimum in the Pareto Sense

    7.2.3 Optimum in the Min-Max Sense

    7.2.4 Decision-Making Problem

    7.3 Methods of Solution

    7.3.1 Weighting of Objectives Method

    7.3.2 Trade-Off Method

    7.3.3 Global Criterion Method

    7.3.4 Goal Programming

    7.3.5 Min-Max Method

    7.4 Interactive Multicriteria Optimization Procedures

    7.5 Engineering Applications

    7.5.1 Hydrostatic Journal Bearing Design

    7.5.2 Machine Tool Gearbox Design

    7.6 References

    8. Multicriteria Optimization in Architectural Design

    8.1 Design in Architecture

    8.1.1 Introduction

    8.1.2 Design Paradigms

    8.1.3 Design as Decision Making

    8.1.4 Multicriteria Design Optimization

    8.2 Choosing the Best Compromise Solution from the Pareto Optimal Set

    8.2.1 General

    8.2.2 Inverse Goal Programming

    8.3 Applications

    8.4 Application 1: Preliminary Building Design for Energy, Cost, and Efficiency

    8.4.1 Outline of Problem

    8.4.2 Model

    8.4.3 Generating the Pareto Optimal Set

    8.4.4 Results

    8.4.5 Choosing the Preferred Design

    8.5 Application 2: Designing Multi-Functional Constructional Materials

    8.5.1 Outline of Problem

    8.5.2 Model

    8.5.3 Generating the Pareto Optimal Set

    8.5.4 Results

    8.5.5 Choosing the Preferred Design

    8.6 Application 3: Designing Window Walls

    8.6.1 Outline of Problem

    8.6.2 Model

    8.6.3 Generating the Pareto Optimal Set

    8.6.4 Results

    8.6.5 Choosing the Preferred Design

    8.7 Acknowledgments

    8.8 References

    9. A System for Integrated Optimal Design

    9.1 Introduction

    9.1.1 Design

    9.1.2 Decomposition

    9.1.3 Objective Function

    9.1.4 The Computer System

    9.2 The Design of Buildings

    9.3 Optimization Method

    9.3.1 The Optimization Model

    9.3.2 Dynamic Programming

    9.3.3 Heuristic Non-serial Dynamic Programming

    9.3.4 Pareto Optimal Solutions

    9.4 Post-optimality Analyses

    9.5 The Computer System — SID

    9.5.1 System Outline

    9.5.2 Module COMDAT

    9.5.3 Module OPTIM

    9.5.4 Module POSTOP

    9.5.5 Command Language

    9.5.6 Integrating Planning and Subsystem Decision-Making

    9.6 A Building Design Using SID

    9.6.1 Description of the Problem

    9.6.2 Optimization Procedure

    9.6.3 Optimization Results

    9.6.4 Post-optimality Analyses

    9.6.5 Analysis of Pareto Optimal Solutions

    9.7 Conclusions

    9.8 References


Product details

  • No. of pages: 312
  • Language: English
  • Copyright: © Academic Press 1985
  • Published: December 27, 1985
  • Imprint: Academic Press
  • eBook ISBN: 9780323156523

About the Editor

John Gero

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