2009/06/17 by Roberto Fontana, Fontana, Roberto, Giovanni Pistone +1
Computer Science · Decision Sciences · Engineering · #Advanced Multi-Objective Optimization Algorithms #FOS: Computer and information sciences #Methodology (stat.ME) #Optimal Experimental Design Methods #graph theory and CDMA systems
paper · pdf · doi:10.48550/arxiv.0906.3259
openalex publication_date 2009/06/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The joint use of counting functions, Hilbert basis and Markov basis allows to define a procedure to generate all the fractions that satisfy a given set of constraints in terms of orthogonality. The general case of mixed level designs, without restrictions on the number of levels of each factor (like primes or power of primes) is studied. This new methodology has been experimented on some significant classes of fractional factorial designs, including mixed level orthogonal arrays.