''VideoGame/FinalFantasyVII'' has a few examples [...] In particular, a major game mechanic is the "PHS", [...] In Japan, it was a reference to a late-1990s branch of entry-level mobile phones with reduced features called "Personal Handiphone System" or "PHS", the joke being Cloud’s 「パーティ編成システム」Pāti Hensei Shisutemu (Party Summoning System, an existing FanNickname for the party-switching game mechanic in many RPGs of that era).
Wiktionary on "編成" says:
- (rail transport) make up, be formed of, compose
- organize, group into
- draw up, plan
Wikitionary's translation of "summon": "Call people together" has "召集する (shōshū suru)" instead, which is what's used in Fate/Grand Order as seen in the top right.