Organizing Cleaning: Room vs. Task

Every time I clean the house, I debate with myself, weighing the pros and cons of cleaning one room completely at a time, such as tidying, dusting, and vacuuming the living room, before moving on to the next room, vs. completing one task, such as dusting or vacuuming, throughout the house.

Seems like each has its good points. Doing it one way, a room at a time will mean that at least one room gets completely cleaned.  Doing it the other way, one task at a time means it is easy to do all the vacuuming when I have the vacuum cleaner out.

On the other hand, there's also a "half done" aspect to both (unless I do the dusting and the vacuuming all on one day).

I guess for some people who live in a 2-story home, it might make sense to do all the downstairs areas on one day and the upstairs areas on another day. But I live in a single story house with a fairly open floor plan - it's harder to divide the house into sections, although I guess I can treat the public rooms (living room, dining area and family room) as one section and the 3 bedrooms and hallway as another.

There is no right way or wrong way to clean, of course. It all depends on what we find to be convenient and works for each one of us. It's just that I am not quite happy with how I'm doing things and looking for a better way.

So, how do you organize the weekly cleaning, especially if you are unable to clean all the rooms or areas in one day or one weekend? Do you "do" one room at a time, moving around the room in a clockwise or anti-clockwise manner, before moving on to the next room?  Or do you tackle each task, but do it throughout the house? For example, when you empty the waste baskets, do you empty all the waste baskets throughout the house, or just the one in the room you are cleaning?