标题： 广义最小偏差的混合水平正交数组 一种基于顺序整数二次约束二次规划的通用方法 显示英文标题

标题： Generalized Minimum Aberration mixed-level orthogonal arrays A general approach based on sequential integer quadratically constrained quadratic programming

摘要： 正交分数因子设计，特别是正交数组，在许多应用领域中被频繁使用，包括医学、工程和农业。 在本文中，我们提出了一种方法和算法，以找到满足广义最小偏差准则的给定大小和强度的正交数组。 该方法基于多项式计数函数、水平的复杂编码以及二次优化算法的联合使用，并不限制每个因子的水平数量。 显示英文摘要

摘要： Orthogonal Fractional Factorial Designs and in particular Orthogonal Arrays are frequently used in many fields of application, including medicine, engineering and agriculture. In this paper we present a methodology and an algorithm to find an orthogonal array, of given size and strength, that satisfies the generalized minimum aberration criterion. The methodology is based on the joint use of polynomial counting functions, complex coding of levels and algorithms for quadratic optimization and puts no restriction on the number of levels of each factor.