As rightly suggested, having a proper Induction programme could be one of the initiatives. Rather than we suggesting other initiatives, you are the better person to come out with initiatives as you worked for 10 years now.
If you are an observer and quite involved in your work, it will spark in your mind.
To name a few initiatives, you can think of -
1. Training for the hospital staff, nurses etc. balancing their busy schedule. Apart from regular topics, have topics as how to communicate with patients, their relatives. How to raise the patience level while tackling them.
2. If absenteeism of the lower staff is the problem, how you think to resolve the issue ? May be introducing few policies like 100% attendance bonus etc. Regularizing Discipline or Leave system could be another task.
Consulting few senior staff members about issues they face in HR, would give you an insight.
All the best!