Applying Integer Linear Programming to the Fleet Assignment Problem

Abstract

We formulated and solved the fleet assignment problem as an integer linear programming model, permitting assignment of two or more fleets to a flight schedule simultaneously. The objective function can take a variety of forms including profit maximization, cost minimization, and the optimal utilization of a particular fleet type. Several departments at American Airlines use the model to assist in fleet planning and schedule development. It will become one of 10 key decision modules for the next generation scheduling system currently being developed by American Airlines Decision Technologies.