The AMO update process is as follows:
Pushing to Production
Pushes to production happen every Thursday at 9am Pacific. Code freezes every Tuesday.
You can find our docs on push duty, who is responsible, etc. on https://addons.readthedocs.org/en/latest/server/push-duty.html and by reading the https://mail.mozilla.org/pipermail/dev-addons mailing list where we send tag and push emails every week.
Questions? Come to #amo on irc.mozilla.org.