This paper is dedicated to the study of constraints violation in manufacturing workshops with time constraints. In such systems, every operation duration is included between minimal and maximal values. P-time Petri nets are used for modeling. A new theorem is introduced, constituting a decision tool about the occurrence of constraints violation at the level of a synchronization transition when various types of time disturbances occur. It shows the robustness properties of a manufacturing system on a range that may include delay and advance disturbances. The theoretical result is illustrated step by step on a given workshop. Two other lemmas are elaborated contributing to the study of the constraints violation problem. The final goal is to generalize the robustness property towards simultaneous occurrence of two delays at two points of the system, each having its own robustness range.

中文翻译：

---

关于制造车间违反时间限制的决策工具

本文致力于研究具有时间约束的制造车间的约束违反问题。在这样的系统中，每个操作持续时间都包含在最小值和最大值之间。P-time Petri 网用于建模。引入了一个新定理，构成了当各种类型的时间扰动发生时在同步转换级别上发生约束违反的决策工具。它显示了制造系统在可能包括延迟和提前干扰的范围内的鲁棒性属性。理论结果在给定的研讨会上逐步说明。详细阐述了另外两个引理，有助于研究约束违反问题。最终目标是将鲁棒性推广到系统两个点同时发生两个延迟，