Continuous-Time Airline Overbooking with Time-Dependent Fares and Refunds

Published Online:https://doi.org/10.1287/trsc.33.2.182

References

  • Alstrup J. , Boas S. , Madsen O. B. G. , Vidal R. V. V. Booking policy for flights with two types of passengers. Eur. J. Opns. Res. (1986) 27 274 288 CrossrefGoogle Scholar
  • Alstrup J. , Andersson S.-E. , Boas S. , Madsen O. B. G. , Vidal R. V. V. Booking control increases profit at Scandinavian airlines. Interfaces (1989) 19 10 19 LinkGoogle Scholar
  • Apostol T. M. Mathematical Analysis (1957) (Addison-Wesley, Reading, Massachusetts) Google Scholar
  • Beckmann M. J. Decision and team problems in airline reservations. Econometrica (1958) 26 134 145 CrossrefGoogle Scholar
  • Bitran G. R. , Gilbert S. M. Managing hotel reservations with uncertain arrivals. Opns. Res. (1996) 44 35 49 LinkGoogle Scholar
  • Bodily S. E. , Pfeifer P. E. Overbooking decision rules. OMEGA (1992) 20 129 133 CrossrefGoogle Scholar
  • Chatwin R. E. Optimal airline overbooking. (1993) . Ph.D. dissertation, Department of Operations Research, Stanford University, California Google Scholar
  • Chatwin R. E. Optimal control of continuous-time terminal-value birth-and-death processes and airline overbooking. Naval Res. Logist. (1996) 43 159 168 CrossrefGoogle Scholar
  • Chatwin R. E. Multi-period airline overbooking with a single fare class. Opns. Res. (1998) 46 805 819 LinkGoogle Scholar
  • Deetman C. Booking levels. Proc. 4th AGIFORS Sympos. (1964) American Airlines New York Google Scholar
  • Gantmacher F. R. , Krein M. G. Oscillatory Matrices and Kernels and Small Vibrations of Mechanical Systems (1950) 2nd ed. (Moscow) . (in Russian) Google Scholar
  • Karlin S. Total Positivity (1968) (Stanford University Press, Stanford, California) Google Scholar
  • Karlin S. , McGregor J. L. Coincidence properties of birth and death processes. Pacific J. Math. (1959a) 9 1109 1140 CrossrefGoogle Scholar
  • Karlin S. , McGregor J. L. Coincidence probabilities. Pacific J. Math. (1959b) 9 1141 1164 CrossrefGoogle Scholar
  • Kosten L. Een Mathematisch Model voor een Reservingsprobleem. Statist. Neerlandica (1960) 14 85 94 CrossrefGoogle Scholar
  • Lee T. C. , Hersh M. A model for dynamic airline seat inventory control with multiple seat bookings. Transportation Sci. (1993) 27 252 265 LinkGoogle Scholar
  • Liberman V. , Yechiali U. On the hotel overbooking problem—An inventory system with stochastic cancellations. Management Sci. (1978) 24 1117 1126 LinkGoogle Scholar
  • Lippman S. A. Applying a new device in the optimization of exponential queuing systems. Opns. Res. (1975) 23 687 710 LinkGoogle Scholar
  • Lippman S. A. Countable-state, continuous-time dynamic programming with structure. Opns. Res. (1976) 24 477 489 LinkGoogle Scholar
  • Littlewood K. Forecasting and control of passenger bookings. Proc. 12th AGIFORS Sympos. (1972) American Airlines New York 95 117 Google Scholar
  • McGill J. I. Optimization and estimation problems in airline yield management. (1989) . Ph.D. dissertation, Commerce and Business Administration Program, University of British Columbia, Canada Google Scholar
  • Martinez R. , Sanchez M. Automatic booking level control. Proc. 10th AGIFORS Sympos. (1970) American Airlines New York 1 20 Google Scholar
  • Miller B. L. Finite state continuous time Markov decision processes with a finite planning horizon. SIAM J. Control (1968) 6 266 280 CrossrefGoogle Scholar
  • Rothstein M. Stochastic models for airline booking policies. (1968) . Ph.D. dissertation, Graduate School of Engineering and Science, New York University, New York Google Scholar
  • Rothstein M. An airline overbooking model. Transportation Sci. (1971) 5 180 192 LinkGoogle Scholar
  • Rothstein M. Hotel overbooking as a Markovian sequential decision process. Decision Sci. (1974) 5 389 404 CrossrefGoogle Scholar
  • Rothstein M. O.R. and the airline overbooking problem. Opns. Res. (1985) 33 237 248 LinkGoogle Scholar
  • Rothstein M. , Stone A. W. Passenger booking levels. Proc. 7th AGIFORS Sympos. (1967) American Airlines New York Google Scholar
  • Shlifer R. , Vardi Y. An airline overbooking policy. Transportation Sci. (1975) 9 101 114 LinkGoogle Scholar
  • Smith B. C. , Leimkuhler J. F. , Darrow R. M. Yield management at American airlines. Interfaces (1992) 22 8 31 LinkGoogle Scholar
  • Subramanian J. , Stidham S. , Lautenbacher C. J. Airline yield management with overbooking, cancellations, and no-shows. (1997) . Working paper, Department of Operations Research, University of North Carolina, Chapel Hill, NC Google Scholar
  • Taylor C. J. The determination of passenger booking levels. Proc. 2nd AGIFORS Sympos. (1962) American Airlines New York 93 116 Google Scholar
  • Thompson H. R. Statistical problems in airline reservation control. Opns. Res. Quart. (1961) 12 167 185 CrossrefGoogle Scholar
  • Weatherford L. R. , Bodily S. E. A taxonomy and research overview of perishable-asset revenue management: Yield management, overbooking, and pricing. Opns. Res. (1992) 40 831 844 LinkGoogle Scholar
INFORMS site uses cookies to store information on your computer. Some are essential to make our site work; Others help us improve the user experience. By using this site, you consent to the placement of these cookies. Please read our Privacy Statement to learn more.