Parameter Space Investigation Method Toolkit
1st Edition
Published on 1. January 2011
240 pages
978-1-60807-187-6 (ISBN)
Description
The Parameter Space Investigation (PSI) method was developed to help engineers with a wide range of multicriteria optimization problems, such as design, identification, design of control systems, and operational development of prototypes. This unique resource shows you how to use PSI to construct a feasible solution set without limitations on the number of parameters and criteria. The book presents visualization tools that are used to construct the feasible solution set, conduct multicriteria analysis, and correct the initial problem statement. You explore topics that have not been covered in any other books, including multicriteria analysis from observational data, multicriteria optimization of large-scale systems in parallel mode, adopting the PSI method for database searches, and interpretation of the prototype improvement problem. The book also offers guidance in understanding and using the accompanying, newly released MOVI software package. DVD Included! Contains MOVI software package version 1.4 that you can use together with the book to analyze real-world problems in the field.
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Roman Statnikov | Alexander Statnikov
The Parameter Space Investigation Method Toolkit
Book
06/2011
Artech House Publishers
€132.22
Shipment within 10-20 days
Content
- The Parameter Space Investigation Method Toolkit
- Contents
- Acknowledgments
- Preface
- Part I The Parameter Space Investigation Method Toolkit
- 1 Introduction
- 1.1 Some Basic Features of Real-Life Optimization Problems
- 1.2 Generalized Formulation of Multicriteria Optimization Problems
- 1.2.1 Definition
- 1.3 Applying Single-Criterion Methods for Solving Multicriteria Problems
- 1.3.1 Substitution of a Multitude of Criteria by a Single One
- 1.3.2 Optimization of the Most Important Criterion
- 1.4 Systematic Search in Multidimensional Domains by Using Uniformly Distributed Sequences
- 1.4.1 Quantitative Characteristics of Uniformity
- References
- 2 Parameter Space Investigation Method as a Tool for Formulation and Solution of Real-Life Problems
- 2.1 The Parameter Space Investigation Method
- 2.1.1 The Complexity of the Investigation
- 2.1.2 Definition of the Feasible Solution in Parallel Mode
- 2.1.3 Number Generators for Systematic Search in the Design Variable Space
- 2.2 "Soft" Functional Constraints and Pseudo-Criteria
- 2.3 More About Applying Single-Criterion Methods for Solving Multicriteria Problems
- 2.4 An Example of Optimization Problem Statement and Significant Challenge That It Presents
- 2.4.1 Expert's Difficulties
- References
- 3 Using the PSI Method and MOVI Software System for Multicriteria Analysis and Visualization
- 3.1 Performing Tests
- 3.2 Construction of Feasible and Pareto Optimal Sets
- 3.2.1 Constructing Test Tables
- 3.2.2 Constructing the Feasible Solution Set: Dialogues of an Expert with a Computer
- 3.2.3 Tables of Feasible and Pareto Optimal Solutions
- 3.2.4 Selecting the Most Preferable Solution
- 3.3 Histograms and Graphs
- 3.3.1 Design Variable Histograms: Histograms of the Distribution of Feasible Solutions
- 3.3.2 Criteria Histograms: Visualization of Contradictory Criteria
- 3.3.3 Graphs "Criterion Versus Design Variable II"
- 3.3.4 Graphs "Criterion Versus Criterion"
- 3.3.5 Graphs "Criterion Versus Design Variable I"
- 3.4 Weakening Functional Constraints
- 3.4.1 Tables of Functional Failures
- References
- 4 Improving Optimal Solutions
- 4.1 Solving a New Optimization Problem
- 4.1.1 New Design Variable Constraints
- 4.1.2 Tables of Feasible and Pareto Optimal Solutions
- 4.1.3 Histograms of the Distribution of the Feasible Solutions
- 4.1.4 Graphs of Criterion Versus Design Variable II
- 4.1.5 Graphs Criterion Versus Criterion
- 4.2 Construction of the Combined Pareto Optimal Set
- 4.2.1 Basic Principles
- 4.2.2 Tables of Combined Pareto Optimal Solutions
- 4.2.3 Analysis of the Combined Pareto Optimal Set
- 4.2.4 Conclusions for Chapters 2 Through 4
- References
- Part II Applications to Real-Life Problems
- 5 Multicriteria Design
- 5.1 Multicriteria Analysis of the Ship Design Prototype
- 5.1.1 Improvement Problem
- 5.2 Problem with the High Dimensionality of the Design Variable Vector
- 5.3 Rear Axle Housing for a Truck: PSI Method with the FiniteElement Method
- 5.3.1 General Statement of the Problem
- 5.3.2 Solution of the Problem and Analysis of the Results
- 5.3.3 Conclusions
- 5.4 Improving the Truck Frame Prototype
- 5.4.1 History of This Project
- 5.4.2 Finite Element Model of a Truck Frame
- 5.4.3 Criteria and Pseudo-Criteria
- 5.4.4 Design Variables
- 5.5 Multicriteria Optimization of Orthotropic Bridges
- 5.5.1 Introduction and Purposes
- 5.5.2 Mathematical Model and Parameters
- 5.5.3 Results of Optimization
- 5.5.4 Conclusion
- References
- 6 Multicriteria Identification
- 6.1 Adequacy of Mathematical Models
- 6.2 Multicriteria Identification and Operational Development
- 6.2.1 The PSI Method in Multicriteria Identification Problems
- 6.2.2 The Search for the Identified Solutions
- 6.2.3 Operational Development of Prototypes
- 6.2.4 Conclusion
- 6.3 Vector Identification of a Spindle Unit for Metal-Cutting Machines
- 6.3.1 Introduction
- 6.3.2 Experimental Determination of the Characteristics of a Spindle Unit
- 6.3.3 Construction of Mathematical Models
- 6.3.4 The Identified Parameters of the Models
- 6.3.5 Adequacy Criteria
- 6.3.6 Solution of the Identification Problems
- 6.3.7 Solution of the Optimization Problem
- 6.3.8 Conclusion
- References
- 7 Other Multicriteria Problems and Related Issues
- 7.1 Search for the Compromise Solution When the Desired Solution Is Unattainable
- 7.1.1 Definition of the Solution That Is the Closest to the Unattainable Solution
- 7.1.2 Conclusion
- 7.2 Design of Controlled Engineering Systems
- 7.2.1 Multistage Axial Flow Compressor for an Aircraft Engine
- 7.2.2 Conclusion
- 7.3 Multicriteria Analysis from Observational Data
- 7.3.1 Example
- 7.4 Multicriteria Optimization of Large-Scale Systems in Parallel Mode
- 7.4.1 Computationally Expensive Problems
- 7.4.2 First Example
- 7.4.3 Second Example
- 7.4.4 Conclusion
- 7.5 On the Number of Trails in the Real-Life Problems
- References
- 8 Adopting the PSI Method for Database Search
- 8.1 Introduction
- 8.1.1 Characteristics of Alternatives: Criteria and Pseudo-Criteria
- 8.1.2 General Statement of the Problem and Solution Approach
- 8.1.3 Motivation of the Problem Statement
- 8.2 DBS-PSI Method
- 8.2.1 DBS-PSI Method as a New Paradigm of a Database Search
- 8.3 Searching for a Matching Partner
- 8.3.1 Conclusions of the Example
- 8.4 Summary
- References
- 9 Multicriteria Analysis of L1 Adaptive Flight Control System
- 9.1 Objective of the Research
- 9.2 Prototype: Criteria and Design Variables
- 9.2.1 Design Variables
- 9.2.2 List of Criteria and Pseudo-Criteria
- 9.2.3 Criteria Addressing FQ and PIO Characteristics
- 9.2.4 Criteria Constraints
- 9.3 Solutions and Analysis
- 9.3.1 First Iteration
- 9.3.2 Second Iteration
- 9.3.3 Conclusion
- References
- Conclusions
- Appendix Examples of Calculation of the Approximate Compromise Curves
- Analytical Approach
- Example A.1
- Example A.2
- References
- About the AUthors
- Index
