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Mathemtical model of composite objects and its application for organizing engineering databases

机译：复合对象的数学模型及其在组织工程数据库中的应用

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The authors introduce a clustering concept called component aggregation which considers assemblies having the same types of parts as equivalent objects. The notion of equivalent objects is used to develop a mathematical model of composite objects. It is shown that the set of equivalence classes of objects form a Boolean algebra whose minterms represent the objects that are not considered composite at the current viewing level. The algebraic structure of composite objects serves as a basis for developing a technique for organizing composite objects and supporting materialization of explosion views. The technique provides a clustering mechanism which partitions the database into meaningful and application-oriented clusters, and allows any desired explosion view to be materialized using a minimal set of stored views. A simplified relational database for design data and a set of frequent access patterns in design applications are outlined and used to demonstrate the benefits of database organizations based on the mathematical model of composite objects.
机译：作者介绍了一种称为组件聚集的聚类概念，该概念将具有相同零件类型的装配视为等效对象。等效对象的概念用于开发复合对象的数学模型。结果表明，对象的等价类集合形成一个布尔代数，其最小项表示在当前查看级别上不视为合成的对象。合成对象的代数结构是开发用于组织合成对象和支持实现爆炸视图的技术的基础。该技术提供了一种群集机制，该机制将数据库划分为有意义的和面向应用程序的群集，并允许使用最少的一组存储视图来实现任何所需的爆炸视图。概述了用于设计数据的简化的关系数据库和设计应用程序中的一组频繁访问模式，并用于演示基于复合对象的数学模型的数据库组织的好处。

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