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A mathematical programming approach to the construction of BIBDs
2011
International Journal of Computer Mathematics
BIBD (balanced incomplete block design) is instrumental in design of experiments. This is usually constructed using algebraic tools such as finite projective (or affine) algebra or difference sets. Recently, heuristic algorithms have been tried, including artificial neural networks, simulated annealing, and various local search methods. In this paper, we present a novel approach to construct BIBDs that makes use of MIP (mixed integer programming) solvers. Based on this, branch-and-bound and
doi:10.1080/00207160.2010.492869
fatcat:eq4libfdxfh4liizczrf57qn6i