A boom in private flying is helping revive business-jet sales, but it is also challenging charter operators who are scrambling to meet the holiday-travel rush.

After a multiyear slump, flying by private jet is soaring again. The number of flights in the U.S. over the Thanksgiving travel period is forecast to be up as much as 10% from 2019, according to WingX. Private-jet flights were up 60% in the first half of November compared with a year earlier, the data tracker said.