According to the timers menu, the Supply and Provisioning missions should reset at 05:00 PST every day but for some reason they are resetting at 13:00 PST.

ISP:
Century Link

Type of Internet Connection:
DSL

Internet Connection Speed:
19.7Mbit/s

Date & Time:
1pm PST

Frequency:
Daily

Character Name:
Bronze Dragon

Race:
Hyur F

World:
Sargatanas

Steps:
Real time reaches 13:00 PST.
Mission timer resets and items requested change.