21.4. Basic Theory

• 21.4.1. Background
• 21.4.2. Overview of AutoDesign
• 21.4.3. Design of Experiments
  • 21.4.3.1. Effect Analysis
  • 21.4.3.2. Resolution of Experimental Designs
  • 21.4.3.3. Response Surface Method
  • 21.4.3.4. Full Factorial Design
  • 21.4.3.5. Plackett and Burman Design
  • 21.4.3.6. Three-Level Orthogonal Design
  • 21.4.3.7. Central Composite Design (CCD)
  • 21.4.3.8. Box and Behnken Design (BBD)
  • 21.4.3.9. Small Composite Design (SCD)
  • 21.4.3.10. Discrete Latin Hypercube Design
  • 21.4.3.11. Level Balanced Descriptive Design
  • 21.4.3.12. Two-Level Orthogonal Design
  • 21.4.3.13. Bose’s Orthogonal Design
• 21.4.4. Metamodels
  • 21.4.4.1. Response Surface ModelsMetamodels
  • 21.4.4.2. Conservative Response Surface Models
  • 21.4.4.3. Kriging Models
  • 21.4.4.4. Radial Basis Functions
• 21.4.5. Numerical Optimization Algorithm
  • 21.4.5.1. Augmented Lagrange Multiplier Method
  • 21.4.5.2. Multi-Objective Optimization
  • 21.4.5.3. Robust Design Optimization & DFSS
• 21.4.6. Reliability Analysis
  • 21.4.6.1. Monte Carlo Simulation
    • 21.4.6.1.1. Generation of Random Numbers
    • 21.4.6.1.2. Probabilistic Information Extraction
    • 21.4.6.1.3. Accuracy and Efficiency of Estimation
    • 21.4.6.1.4. Example for Normal Distributions
    • 21.4.6.1.5. Example for Weibull and Extreme Value Distributions
  • 21.4.6.2. RIA Method based on Sequential Approximate Optimization (SAO) Approach
    • 21.4.6.2.1. Equivalent Normal Concepts
    • 21.4.6.2.2. First-Order Reliability Method (FORM)
    • 21.4.6.2.3. Second-Order Reliability Method (SORM)
    • 21.4.6.2.4. Dimension Reduction Method (DRM)
    • 21.4.6.2.5. Example for Normal Distributions
    • 21.4.6.2.6. Design Sensitivity Analysis of Reliability Index
• 21.4.7. Probability Distributions
  • 21.4.7.1. Normal Distribution
  • 21.4.7.2. Lognormal Distribution
  • 21.4.7.3. Extreme Value Distribution
    • 21.4.7.3.1. Type-I Extreme Value Distribution
    • 21.4.7.3.2. Type-II Extreme Value Distribution
    • 21.4.7.3.3. Type-III Extreme Value Distribution Value
  • 21.4.7.4. Weibull Distribution
  • 21.4.7.5. Uniform Distribution
  • 21.4.7.6. Beta Distribution