I-Optimal Design of Mixture Experiments in the Presence of Ingredient Availability Constraints

Abstract

Mixture experiments usually involve various constraints on the proportions of the ingredients of the mixture under study. In this paper, inspired by the fact that the available stock of certain ingredients is often limited, we focus on a new type of constraint, which we refer to as an ingredient availability constraint. This type of constraint substantially complicates the search for optimal designs for mixture experiments. One difficulty, for instance, is that the optimal number of experimental runs is not known a priori. To deal with this complication, we propose a variable neighborhood search algorithm to find I-optimal designs for mixture experiments in case there is a limited stock of certain ingredients.

• Variable Neighborhood Search Algorithm
• V-Optimality

Additional information

Notes on contributors

Utami Syafitri

Mrs. Utami Syafitri is a Predoctoral Researcher at the University of Antwerp. Her email address is [email protected].

Bagus Sartono

Dr. Sartono is Assistant Professor at the Department of Statistics of Bogor Agricultural University. His email address is [email protected].

Peter Goos

Dr. Goos is Full Professor at the Faculty of Applied Economics and StatUa Center for Statistics of the Universiteit Antwerpen and at the Faculty of Bioscience Engineering and the Leuven Statistics Research Centre of the University of Leuven. He is a Senior Member of the ASQ. His email address is [email protected]. He is the corresponding author.