It... Look, the RP doesn't just 'stop' when someone leaves, even myself or Zed. You just end up waiting a little while for a reply.
Usually, the time I try to come on is around 8:30-9:00 -ish EST (Eastern Standard Time [USA]), as that's when Zed seems to get on (most of the time), making things run very smoothly, as comments are replied to quite quickly. You can do the calculations for whatever time that would be where you live.
If you can't get on then, well, you will most likely have a lot to catch up on some days.