Abstract: Methods for scheduling a transportation operation such as the operation of an airline. The method desirably selects a demand (100) for transportation specifying an origin, destination, and time of arrival or departure, and selects resources from a database of available resources such as aircraft (508), crew, and departure gates. The resource selection desirably is conducted so as to optimize a result function such as contribution to margin or other financial result from the particular operation specified in the demand. Upon developing a schedule fragment (108), the specified resources are committed, and the database of available resources is modified (110) to indicate that the resources are no longer available at the relevant times. The system then treats another demand and repeats the process so as to develop a full schedule. The system can develop a feasible schedule, even for a complex transportation operation in a brief time, typically in minutes or less.