Coming to this thread a little late but couple of points; CQWI and JOINT WARRIOR are not one and the same. There are 2 different military exercises organised by 2 different organisations hence you will see some NOTAMS referring to JOINT WARRIOR and some to CQWI and times are (generally) different as some aircraft are taking part in both. For more info regarding JOINT WARRIOR airspace useage see the Civ AIP Supplement that is out (and referred to in the JOINT WARRIOR NOTAMs).