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AN ALGORITHM FOR CONSTRUCTING OPTIMAL RESOLVABLE ROW-COLUMN DESIGNS
Authors:Nam-Ky  Nguyen ER Williams
Institution:CSIRO-IAPP Biometrics Unit and CSIRO Division of Forestry
Abstract:This paper describes an effective algorithm for constructing optimal or near-optimal resolvable row-column designs (RCDs) with up to 100 treatments. The performance of this algorithm is assessed against 20 2-replicate resolvable RCDs of Patterson & Robinson (1989) and 17 resolvable RCDs based on generalized cyclic designs (GCDs) of Ipinyomi & John (1985). The use of the algorithm to construct RCDs with contiguous replicates is discussed.
Keywords:α-designs  contiguous replicates  generalized cyclic designs  incomplete block designs  interchange algorithm  iterative improvement  (M  S)-optimality  resolvability  row-column designs  simulated annealing
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