To make sure that people act on your requests try and avoid the words ASAP. Remember achievement is about focus, so set a date. I also think adding a time really focuses the mind. So your request becomes due on wednesday 21 June at 12.30. This focuses the person's attention! Make sure that you follow up at 12.31 to see where the work is, if it has not reached you. If you have a PA or admin they can do the follow up.
The impact of adding date and time is worth seeing...works so much better than ASAP...which is subjective.