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.

增材制造 (AM) 已成为 3D 打印中广泛使用的技术，但事实证明，即使在优化现有模型中的参数时，它也是一个非常昂贵的过程。由于增材制造的特点，为了优化其工艺，引入了一种新的方法来解决该问题：将要打印的每一层离散化。这涉及根据各层应打印的顺序建立顺序关系。流程执行的有效顺序（称为与顺序关系兼容）将被表征。此外，还将提供算法以从其他已兼容的订单中获取新的兼容订单，并将提出策略以最佳且有效地重新排序不兼容订单，将其转换为兼容订单。