Experimental design for complex systems

摘要

A method for a systematic approach to forming experimental designs for large, complex systems after an idea for a product is formed. Critical variables for the product are determined by experts in the field, a design matrix U_k is defined, a base design matrix X is generated, Y(P)=(I−B(B^TB)⁻¹B^T)[(XP)//U]A & Wynn's criterion is defined, where P is a permutation matrix, I is an identity matrix, B is a blocking matrix, B^T is a transposed matrix of B and A is a matrix composed of causal map-based coefficients and wherein a design matrix U_k is created. The index k←k+1 is set and an algorithm to choose the best of random column permutation matrices P and an algorithm to choose the best column permutation matrix P that is near a previous solution and setting U_k←[XP^k with rows from U_k-1 appended].