Transportation Science · 2004 · 147 citations · 9 references
Mathematical ProgrammingTransport Network AnalysisEngineeringNetwork AnalysisAir Transport SystemOn-demand TransportOperations ResearchFleet AssignmentSystems EngineeringLogisticsCombinatorial OptimizationLower BoundFleet ManagementSupply Chain ManagementComputer ScienceAir Traffic ManagementInteger ProgrammingTransportation System ManagementScheduling ProblemBusinessHub ConnectivityHub IsolationVehicle Routing Problem
Airline decision makers cancel flights in operations because of disruptions. When canceling a flight, they usually cancel a cycle, a sequence of flights that begins and ends at the same airport. Consequently, a fleet assignment and aircraft rotation with many short cycles is frequently less sensitive to a flight cancellation than one with only a few short cycles. In this paper, we determine a lower bound for the number of short cycles using the hub connectivity of a fleet assignment, and we present fleet-assignment models (FAMs) that embed many short cycles and reduce hub connectivity within a solution. We show that solutions to such models perform better in operations than those of traditional FAMs that minimize planned operating cost and passenger spill.
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Flight String Models for Aircraft Fleeting and Routing
Cynthia Barnhart, Natashia Boland, Lloyd W. Clarke et al. · Transportation Science · 1998 · 362 citations
Lloyd W. Clarke, Ellis Johnson, George L. Nemhauser et al. · Annals of Operations Research · 1997 · 209 citations