Bayesian Control in Mixture Models

Abstract

The problem is to choose values for independent variables in a regression mixture model with the intent of controlling the output toward a specified target value. This problem is posed as a Bayesian decision problem. The calculation of Bayes rules is shown to require solution of a quadratic programming problem. An example based on an article by Snee (1981) concerning gasoline blends is discussed.

KEY WORDS:

• Bayesian analysis
• Blending models
• Control
• Gasoline blending
• Mixture experiments
• Process design
• Quadratic programming