The Air Traffic Flow Management Problem with Enroute Capacities
Operations Research
From Ground Holding to Free Flight: An Exact Approach
Transportation Science
Operations Research
Composite Variable Formulations for Express Shipment Service Network Design
Transportation Science
Network design formulations for scheduling U.S. Air Force channel route missions
Mathematical and Computer Modelling: An International Journal
Mathematical and Computer Modelling: An International Journal
Solving the aerial fleet refueling problem using group theoretic tabu search
Mathematical and Computer Modelling: An International Journal
A review of strategic mobility models supporting the defense transportation system
Mathematical and Computer Modelling: An International Journal
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The United States Air Force's air mobility command is responsible for creating a schedule and executing that schedule for a large-scale air mobility network that encompasses aircraft with prioritized missions. Aerial ports (airports) can process or park a maximum number of aircraft, called the maximum on ground (MOG). As the schedule changes due to disruptions, such as equipment failure or weather, the MOG constraint can cause the new schedule to be infeasible. Traditionally, re-planning the channel route schedule to adhere to MOG constraints has been a manual process that usually stops after the first feasible set of changes is found, due to the challenges of large amounts of data and urgency for a re-plan. We extend Bertsimas and Stock's integer program formulation for the commercial airline Multi-Airport Ground-Holding Problem to the air mobility network. Our integer programming formulation recommends delays to certain aircraft on the ground to minimize the effects of system-wide disruptions while taking account mission priorities of the aircraft.