"It's a dynamic system that's based on sophisticated optimization algorithms, but the fundamental principle is quite simple: The system is created to hold some seats open for people who are willing to pay more at the last minute", Engel said.
Nearby Fort Lauderdale-Hollywood International Airport was also set to remain closed on Monday, saying it was "still assessing damages and making necessary repairs".
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Miami International Airport, a hub airport of American Airlines, will remain open but a spokesman warns that Florida's largest airport is not a designated shelter.
Airlines have two mechanisms to make sure those willing to pay more are able to get a seat. There have been more than 7,000 since Monday, the lawyer general said on Friday.
United Airlines, which took a substantial financial hit when Hurricane Harvey slammed into Texas last week, said it had suspended operations out of San Juan, Puerto Rico, a US territory that was being raked by the very powerful Category 5 hurricane on Wednesday afternoon, and had extended a travel waiver to include cities in south Florida.
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In the case of Irma, some airlines' pricing systems wound up setting fares that may be "economically rational but emotionally unappealing in human terms", said Engel. Lauderdale region, according to Morgan Stanley, the biggest single carrier operating there.Miami is the 12th busiest airport in America, having handled 44.6 million passengers in 2016. The airline's last Miami departure is scheduled to be Flight 2213, departing at 3:49 p.m.
The airline is capping all ticket prices in every city in Florida where it operates in order to help evacuate people from the hurricane's path. "It's quite recently the PC programs doing what they do when it's last moment and seats are rare". He agreed that some fares were high. "We've added additional flights out of Florida, but those flights are mostly sold out". United plans to suspend its Florida flights at 4:30 p.m. local time through the weekend.
The No. 2 US airline by passenger traffic, whose business is heavily dependent on operations at the Atlanta airport, said it was planning to resume service to airports in Florida.
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"You had all of South Florida chasing very few seats, and that's what pushed the fares to where they were", he said.