Shrinkage simplex-centroid designs for a quadratic mixture model
محورهای موضوعی : Mathematical OptimizationDavood Shishebori 1 , Abolghasem Yousefi Babadi 2 , Taha Hasan 3 , Sajid Ali 4 , Munir Ahmed 5
1 - Department of Industrial Engineering, Yazd University, Pajoohesh Square, Yazd, 89195741, Iran
2 - School of Industrial and Systems Engineering, University of Tehran, Tehran, Iran
3 - Department of Statistics, Islamabad Model College for Boys, Sector F-10/4, Islamabad, Pakistan
4 - School of Business and Economics, Lahore, Pakistan
5 - Department of Mathematics, Islamabad Model College for Boys, Sector F-10/4, Islamabad, Pakistan
کلید واژه: optimality, Mixture experiment . Simplex, centroid design . D, optimality . G,
چکیده مقاله :
A simplex-centroid design for q mixture components comprises of all possible subsets of the q components, present in equal proportions. The design does not contain full mixture blends except the overall centroid. In real-life situations, all mixture blends comprise of at least a minimum proportion of each component. Here, we introduce simplex-centroid designs which contain complete blends but with some loss in D-efficiency and stability in G-efficiency. We call such designs as shrinkage simplexcentroid designs. Furthermore, we use the proposed designs to generate component-amount designs by their projection.
