Quote:
Originally Posted by Gromit801
There are no "complex algorithms" involved at all. The fewer seats available on the given flight, the more expensive they become. It's called supply and demand, the basic premise of how this country works. The OP wanted to change a flight at the last minute, the available seats now cost more because there are fewer of them. It's the same regardless of the circumstances for every airline on the planet.
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Gromit,
There actually are a set of very complex algorithms which require a number of university level courses to study. This is referred to as yield management. Based on destination, historical numbers, time of year, day of week, etc, the airline will adjust up and down the price of tickets without much regard to how many seats may be left. Occasionally last minute tickets are cheaper, sometimes they are extremely expensive.