You can remedy that situation by creating a false sense of urgency. Your desk is an excellent place to 'age' work that isn't due for a few weeks. When the deadline has passed, dole out the assignment to any employee who is not already more tense than a cat on water skis. Clothes that make your ass look flat. Try to ignore them.
Training can lead to no good.
In the short term it causes missed work. In the long term it causes employees to leave for jobs that pay a living wage. When the training budget disappears, the employees will be disgruntled, but at least they won't have enough skills to get a job someplace else. And that means increased productivity. You also need stock options, parking spaces, free meals, and the opportunity to humiliate those below you.