Put in a 15 minute auto AFK log out function in the game, even if its just temporary. SE is obviously against automatic log outs or else they would have done this a long time ago. Or, its part of some stupid marketing scheme that wants the player to think that the game is SO awesome that getting in is like getting into an exclusive night club. Or, they're just trolls.
It won't completely fix the problem but it would drastically help with players trying to log in. For those that don't know already... once you're logged in, you can stay logged in AFK until the server actually has to go down.