We generally put our rubbish bagged in the van and drive to a CART disposal point, If it was full I could go to another, we've always managed to fit stuff in the bins though, many people simply waste space in bins by throwing in made up empty boxes or dumping off cut timber placed diagonally in the bin wasting half of it's capacity.
We emptied about 5 carrier bag fulls last week. The front bins were all overflowing and some bags dumped on the floor, we noted the bins at the back were lids down, so pulled the front bins forward and the 2 bins at the back were completely empty. It really amazes me how lazy people are not even bothering to check their empty. We swapped them around which took just a couple of minutes effort which included romoving the bags left on the floor.