Well, as Harribob's appears to have justified his idea so well, I'd better try to justify my objections rather better than I have so far (which is a pity, because I didn't want to say very much about it in the first place - this was always a bus I wanted to get off).
There cannot be a regular timetable - the bus does 5 circuits per day, each day starting and ending at the depot but without returning to the depot in between times. However, this doesn't allow passengers the oppportunity of getting on/off 5 times per day - that is, if they're travelling (like most passengers travel) to and from a destination. At best, if you get on where there are 3 adjacent stops, you can get on once a day and get off twice a day on your return trip (or go out twice, and come back once). The real problem being that once you get on at a particular stop and get off again at that same stop, you create a repeated loop.
For those poor souls with only one available stop, they should triangulate the part of their journey home that must be done on foot (so that they have the shortest distance to walk after they get off the bus at the stop prior to, or following, the one where they got on).
My understanding is that mathematics is a rigorous and logical process and I've tried very hard to be logical here - but I'm no mathematician - so, if you experts are telling me that this is a reasonable scenario vis-a-vis maths and 'the real world', I'll just have to take your word for it (and, currently, maths modellers are coming in for enough flak as it is).