This looks good in theory, but if you have a party of 2 or more people, who are presumably seated together, then it is practically impossible to get them to boa

This looks good in theory, but if you have a party of 2 or more people, who are presumably seated together, then it is practically impossible to get them to board at different times as the algorithm would want to. I don't know for sure, but based on anecdotal observation I would guess that at least 50% of persons onboard travel with a co-passenger. I think that will throw the algorithm off quite significantly.