Part 3

Experimenting With Constrained Systems

Chapter 6 – Experiments with Single and Multiple Component Constraints

Chapter 7 – Screening Constrained Formulation Systems

Chapter 8 – Response Surface Modeling With Constrained Systems

In Part 3 we discuss how to address the commonly encountered situation in which there are single and multiple component constraints on the levels of the components. We point out how upper and lower bounds on the components affect the region of experimentation and how to construct formulations experiments in this situation. Our discussion includes how to develop models for the data and how to interpret response surface contour plots to select useful formulations.  We also describe the design and analysis of screening experiments and optimization experiments for formulations development when the components are subject to constraints. Several examples are used to illustrate the formulation situations and the proposed methodology.