四水平计算机试验设计的构造

Construction of four-level designs for computer experiments

编码理论在最优设计的构造中已被广泛应用.本文通过修正Gray映射编码变换来构造用于计算机试验的四水平均匀设计,其效率通过离散偏差进行刻画;同时也给出了离散偏差的下界,这个下界可作为获得最优设计的一个基准.

Application of coding theory is quite familiar in the context of constructing optimal designs. The present paper aims at constructing uniform designs for computer experiments via a modified Gray map code transformation. The efficiency of these constructed designs is measured through the popular discrete discrepancy measure introduced by Hickernell and Liu （2002）. As a benchmark, lower bound of the uniformity measure under consideration is also derived for obtaining the best design.