In recent years, reconfigurability of assembly systems, which enables a family of products to be produced on a single production line, is becoming of paramount importance in addressing increasing diversification of the market. One of the key issues in reconfigurable assembly systems is to identify the fixture workspace for a family of parts based on the individual configuration of the fixture-locating layout for each part. Aimed at the problems existing in the current research in this area, this paper presents an approach that allocates the best superposition of locating layouts for multiple parts to be assembled on a single reconfigurable fixture. The presented methodology is based on (1) analytical Procrustes analysis, to rapidly eliminate unlikely sets of solutions, and then (2) pairwise optimization of fixture configurations for a given part family. The proposed method is able to provide more accurate solutions for various Engineering Requirement Functions (ERFs) used in industrial practice with much less computational complexity than the existing method presented in the literature. Comprehensive case studies illustrate the proposed methodology as well as its advantages over the existing method.