Run orders of fractional factorial designs which minimize a cost function based on the number of times the factors change levels during the time sequence in which the runs are performed and which simultaneously have all factor main effects components orthogonal to a polynomial time trend are found for a wide variety of factorial plans. A construction technique based on a generalized foldover scheme is presented.
"Minimum Cost Trend-Free Run Orders of Fractional Factorial Designs." Ann. Statist. 16 (3) 1188 - 1205, September, 1988. https://doi.org/10.1214/aos/1176350955