D-Optimality and D_L-optimality criteria for incomplete block designs

Laplacian eigenvalues and optimality: I. Block designs

Augmenting supersaturated designs with Bayesian D-optimality

Amethodology is developed to add runs to existing supersaturated designs. The technique uses information from the analysis of the initial experiment to choose the best possible follow-up runs. After analysis of the initial data, factors are classified into one of three groups: primary, secondary, and potential. Runs are added to maximize a Bayesian D-optimality criterion to increase the informa...

Branch - and - Bound Search for Experimental Designs Based on D Optimality and Other Criteria

This article presents a branch-and-bound algorithm that constructs a catalog of all D-optimal n-point designs for specified design region, linear model, and number of observations, n. While the primary design criterion is D optimality, the algorithm may also be used to find designs performing well by other secondary criteria, if a small sacrifice in efficiency as measured by D optimality is acc...

Isogeometric Topology Optimization by Using Optimality Criteria and Implicit Function

A new method for structural topology optimization is introduced which employs the Isogeometric Analysis (IA) method. In this approach, an implicit function is constructed over the whole domain by Non-Uniform Rational B-Spline (NURBS) basis functions which are also used for creating the geometry and the surface of solution of the elasticity problem. Inspiration of the level set method zero level...

On the Type-1 Optimality of Nearly Balanced Incomplete Block Designs with Small Concurrence Range

The class of nearly balanced incomplete block designs with concurrence range l, or NBBD(l), is defined. This extends previous notions of “most balanced” designs to cover settings where off-diagonal entries of the concurrence matrix must differ by a positive integer l ≥ 2. Sufficient conditions are found for optimality of NBBD(2)’s under type-1 criteria, then used to establish Aand D-optimality ...