Shrinkage simplex-centroid designs for a quadratic mixture model

Journal of Industrial Engineering International

دوره 14، شماره 1، خرداد 2018   

نویسندگان

Davood Shishebori^{* 1}؛ Abolghasem Yousefi Babadi²؛ Taha Hasan^{* 3}؛ Sajid Ali⁴؛ Munir Ahmed⁵

¹Department of Industrial Engineering, Yazd University, Pajoohesh Square, Yazd, 89195741, Iran

²School of Industrial and Systems Engineering, University of Tehran, Tehran, Iran

³Department of Statistics, Islamabad Model College for Boys, Sector F-10/4, Islamabad, Pakistan

⁴School of Business and Economics, Lahore, Pakistan

⁵Department of Mathematics, Islamabad Model College for Boys, Sector F-10/4, Islamabad, Pakistan

چکیده

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.

کلیدواژه‌ها

Mixture experiment . Simplex؛ centroid design . D؛ optimality . G؛ optimality