We have an 'unofficial' policy, if you HAVE to rest the eyes for ten mins, that a member of the cabin crew is required to sit in the jump seat. On top of that, more information and focus on rostering and preparation for the flight in terms of rest, diet etc. It seems obvious but it does happen, 3 a.m. catches you out sometimes regardless of rest. ( a similar incident prompted more focus on the subject ) ( ... including fighters.....) and if you just can't keep 'em open a quick cat nap does wonders. Also promotes an environment where you do feel you can ask for 10 mins instead of struggling through till, say, the appraoch...
(Know of a F27 F/O too scared to wake the capt as they trundled past destination into the Indian Ocean! Obviously far more issues there than rest.....)
Policy is also that a crew member is called in when you need to pop out to the loo. Tedious but makes sense.
Happy Napping