Compatible TOSets with POSets: An Application to Additive Manufacturing
针对增材制造（3D打印）成本高的问题，提出将每层打印离散化并建立层序关系，研究相容的打印顺序，提供算法从已有相容顺序生成新顺序，并优化非相容顺序的转换。
Abstract Additive manufacturing (AM) has become a widely used technique in 3D printing, but it has proven to be a very costly process, even when optimizing parameters in existing models. Due to the characteristics of AM, and in order to optimize its process, a new approach is introduced to the problem: the discretization of each layer to be printed. This involves establishing an order relation based on the sequence in which the layers should be printed. The valid orders for the execution of the process, referred to as compatible with the order relation, will be characterized. Additionally, algorithms will be provided to obtain new compatible orders from others that were already compatible, and strategies will be presented to optimally and efficiently reorder non-compatible orders, converting them into compatible ones.