Tiredness/Awake is used for three main things:
begging, fighting, and training.
(another option used much less is to search for food behind the dumpster at the 7/11)

Average hobos will receive 5 T(or awake) every 15 minutes, but those who are will to pay Andy for extra services ("donators") will recieve 5 T/awake every 10 minutes.

The maximum amount of T/awake at one time is 100. You can fully refill your T/awake by spending 5 points.

— The Saint Vagabundo is Loco