Air travelers could face more frustration as busy U.S. airports need to meet a higher Federal Aviation Administration target for reducing flights Tuesday after already canceling thousands to scale back demands on the nation's aviation system during the government shutdown.

The FAA ordered domestic airlines last week to drop 4% of their flights at 40 major U.S. airports, saying absences and signs of stress among traffic controllers made it imperative to act in the name of public safety. After already canceling more than 7,900 since Friday, the goal for cutting flights is set to rise to 6% on Tuesday and again to 10% on Friday.

More than 1,100 flights were canceled Tuesday, according to FlightAware, a website that tracks air travel disruptions. It was unclear exactly how many additional fl

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