Research on Data Structure of Shipbuilding BOM

This paper presents a mathematical framework for defining and managing the transformation between engineering bill of materials (E-BOM) and manufacturing bill of materials (M-BOM) specifically within shipbuilding. Unlike traditional manufacturing sectors, shipbuilding exhibits substantial differences in data structures between E-BOM and M-BOM due to unique design and production processes. To address this complexity, we introduce a mathematical formulation based on mapping functions: a partition mapping (φ) and a hierarchy reconstruction mapping (Ψ). The partition mapping systematically defines how each component in an E-BOM is divided or consolidated in the corresponding M-BOM. The reconstruction mapping translates parent-child relationships from E-BOM structures into production-oriented M-BOM configurations. Through the application of these mappings, we provide a unified, flexible theoretical framework for clearly expressing transformations between diverse BOM structures. The validity and applicability of the proposed formulation were verified using a simplified ship hull model, demonstrating consistent and practical representation of various E-BOM granularities into an M-BOM. Our results confirm that this mathematical framework effectively captures and streamlines the transformation process, providing a solid foundation for optimized data management and future system integration within shipbuilding PLM systems.