Story highlights British Airways and other international airlines operate out of the affected terminal

At one point, about 1,500 customers were waiting to be checked in

(CNN) Computer problems have caused massive delays Sunday at one of the nation's largest airports during one of the busiest travel holidays of the year.

A server crash at New York's John F. Kennedy Airport has stalled operations at Terminal Seven, according to a spokesman for the Port Authority.

The terminal, which is operated by British Airways, is the only one at the airport affected. Qantas, Iberia, Cathay Pacific and other airlines that use the terminal have seen their flights delayed.

"It's been pretty packed. And pretty cramped and pretty unsafe at times," passenger Mike Priestley told CNN affiliate WCBS.

The crash happened at about 4 p.m. ET on Sunday and wasn't resolved for hours, Port Authority spokesman Neal Buccino said.

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