Mixture Design for Optimal Formulations (2 Days)

Day 1 Section 1—Introduction to Mixtures
 
  • What makes a mixture?
  • Mixture (Scheffé) polynomials
  • Gold jewelry
  Section 2—Unconstrained Mixtures
 
  • Simplex-Lattice designs
    • Simplex without augmentation
    • Augmenting simplex designs
      • Augmented simplex lattice: Yarn
Lunch Section 3—Constrained Mixtures, Simplex
 
  • Detergent formulation
    • Coding: Actual – Real – L_Pseudo
  • Optimization of multiple responses
    • Numeric (desirability function)
    • Graphical (overlay plot)
  • ABS pipe
    • Model reduction
    • Optimization
    • Piepel’s vs. Cox’s direction
Day 2 Section 4—Constrained Mixtures, Non-Simplex
 
  • Sizing for precision
  • Constrained mixtures, extreme vertices:  Shampoo
    • Optimal point selection:  Flare
  • Transformations:  Antiseptic
  Section 5—Multicomponent Constraints
 
  • Group constraints:  Fruit punch
  • Ratio constraints:  Stability
  • An additional equality constraint:  Ice cream
Lunch Section 6—Screening Component
 
  • Simplex:  Additive package
  • Non-simplex screening designs
    • Non-simplex screening exercise
      • Follow-up study
  • Review exercise: Blue haze
  Section 7—Special Mixture and Process Problems
 
  • Blocking a simplex design: Olive oil
  • Mixture amount experiments: Ibuprofen
  • Mixtures with categorical factors: Auto coating
  • Summary (what was learned)
  • DOE support
  Section 8—Optional Material (as time allows)
 
  • Homework assignment
  • Augmenting a mixture design: Sparklers
  • Appendix
    • Sizing to detect a difference (details)
    • Piepel’s vs. Cox’s direction (details)

See the public workshop schedule and the mixture course description for further information.


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