The airline says the issue is impacting some of its applications, including customers' ability to book, check in and board.
Delta released a statement that said in part: "Flights are continuing to depart, albeit at a slower pace than normal and some flights are delayed as a result. Delta is slowing flights into our busiest hub in Atlanta to reduce congestion."
The airline apologized to customers for the inconvenience while it works to address the problem.
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