We could view the patient as a process under control, with all the sensors we have, and simply apply process control technology to that without waiting for a human to interpret the data many hours after it's relevant.
... that beeps and boops nonstop. Yes, but on top of that the error rate in measurements is staggering. It's difficult even to get reliable vital signs. Also, much of the stuff we're measuring is of unclear purpose. We don't have a solid understanding of what the measurements actually mean for the patient.