Construction of Block Designs Using Mathematical Programming
D. Whitaker, C. M. Triggs, J. A. John
Journal of the Royal Statistical Society: Series B (Statistical Methodology) · 1990 · Volume 52 · Issue 3
DOI: 10.1111/j.2517-6161.1990.tb01803.x
Abstract
The construction of optimal or nearly optimal block designs, using the A-optimality criterion, is formulated as a non-linear 0–1 programme. An approach which ignores the 0–1 constraint is suggested and its feasibility is examined by constructing block designs using the non-linear programming computer package MINOS.
Keywords
a-optimality, balanced incomplete blocks, block designs, mathematical programming, (m, s)-optimality, optimal design, 0–1 programming
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