More than 130 other flights departed, but some were delayed for as long as four hours.
Spokeswoman Marianne Lindsey said Monday evening that ticket counter lines were clearing out and the airline doesn't anticipate any problems Tuesday.
The problem started Monday morning and was caused by two severed fiber-optic lines.
Lindsey says the cities most affected were Seattle; Portland, Ore.; Los Angeles; Anchorage, Alaska; and the San Francisco area. The airline flies to 95 cities.
(Copyright 2012 by The Associated Press. All Rights Reserved.)