Yes, in a way that is correct from a high-level understanding. However, there are nuanced pieces to the problem that requires data science such as the randomnes

Yes, in a way that is correct from a high-level understanding. However, there are nuanced pieces to the problem that requires data science such as the randomness of each process - patients and doctors are not widgets and they vary in behavior significantly. In a manufacturing plant, each process has the exact same duration every time but in a hospital setting, the same process can be different for Patient A vs Patient B due to a variety of reasons. In fact even in manufacturing facilities, they are starting to use big data and advanced data science themselves to solve their operational problems and get smarter at forecasting, predicting, etc.