Compound Sets in Mathematical Programming Modeling Languages
通过简单实例指出常见代数索引规则在建模中的不便，分析其根源并提出改进的代数符号，以提升模型描述的可理解性和可维护性。
This paper presents a series of simple but realistic examples in which common algebraic indexing conventions are not so convenient. In particular, it analyzes the difficulties caused by the conventions that each model component must have a fixed number of indices and that the order of the indices is significant to their meaning. To deal with these difficulties compensating extensions to algebraic notation are proposed. The proposed notation is compared to existing notation in terms of the human abilities to understand, maintain and verify model descriptions.