Although the paper concentrates mainly on symmetric designs with factors at two levels, we also evaluate methods of determining combinatorial equivalence and non-equivalence of three-level designs and indicate extensions to larger numbers of levels and to asymmetric designs.
The performance of these two broad groups of methods seem to be complementary in many cases, with a slight performance advantage demonstrated by representative methods of the combinatorial class (e.g., Weeder [ 24]), as reported in a recent comprehensive study [ 1].
The extension of the synthetic methods to combinatorial modification of conductive polymers is also discussed.
We have recently developed methods for combinatorial selection of TA libraries consisting of 1014 random sequences and have identified TAs that bind to a variety of target proteins [30], [31], [32].
This paper shows how an optimal nested sampling design can be found by a method of numerical combinatorial optimization: simulated annealing.
We illustrate some applications of this method to combinatorial object enumeration problems and bijective combinatorics and discuss an open problem regarding languages having a rational generating function.
