INFORMS Journal on Applied Analytics · 1989 · 22 citations · 2 references
ManagementDecision SciencesOperations ManagementRevenue ManagementStochastic ModelingStochastic ProcessesCapacity AllocationOverbooking ManagementQueueing TheoryStochastic SchedulingAirline OverbookingAirline Revenue ManagementAirline SchedulingMultistage Decision MakingMultistage Stochastic ProgrammingOptimal Decision MakingStochastic Booking ModelsStochastic Dynamic Programming
Planes are overbooked to avoid empty seats. Yet, there is a trade-off of increased upgradings, downgradings, and denied boardings. The patterns of reservations, cancellations, and no-shows are random. Thus, determining the best overbooking levels involves stochastic multistage optimal decision making and time series analysis. An overbooking model for a nonstop flight with two types of passengers is based on a statistical description of the booking process and two-dimensional stochastic dynamic programming. It produces, apparently for the first time, an optimal policy for a real case. The model has been validated and used at Scandinavian Airlines. The net potential revenue increase was about two million US dollars per year.
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OR Forum—OR and the Airline Overbooking Problem
Marvin Rothstein · Operations Research · 1985 · 122 citations
Booking policy for flights with two types of passengers
Jens Alstrup, Søren Boas, Oli B.G. Madsen et al. · European Journal of Operational Research · 1986 · 119 citations