Abstract
Schedule development is typically the first phase of the airline planning process. We present a framework for perturbing scheduled departure and arrival times after a crew schedule has been found. We characterize perturbations that keep a schedule legal while not increasing the planned cost of the crew schedule. We show that when random delays occur in operations, the expected cost can be reduced and the on-time performance improved. Computational results are reported for two real fleets and a large number of crew schedules.
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Anbil, R., F. Barahona, L. Ladyani, R. Rushmeier, and J. Snowden. (1999). “IBM Makes Advances in Airline Optimization.” OR/MS Today, 26, 26–29.
Anonymous. (2001). “Clearing the Skies.” The Economist.
Anonymous. (2001). “Free as a Bird.” The Economist.
Barnhart, C., A. Cohn, E.L. Johnson, D. Klabjan, G.L. Nemhauser, and P. Vance. (2002). “Airline Crew Scheduling.” In R.W. Hall (ed.), Handbook in Transportation Science, Kluwer Scientific Publishers, pp. 517–560.
BTS. (1998). “On-time Statistics.” Available from http://www.bts.gov/ntda/oai/desc.html.
Cohn, A. and C. Barnhart. (2003). “Improving Crew Scheduling by Incorporating Key Maintenance Routing Decisions.” Operations Research, 51, 387–396.
FAA. (1999). “Federal Aviation Regulations.” Available from http://www.faa.gov/avr/AFS/FARS/far-121.txt.
Klabjan D., E.L. Johnson, and G.L. Nemhauser. (2000). “A Parallel Primal-dual Simplex Algorithm.” Operations Research Letters, 27, 47–55.
Klabjan, D., E.L. Johnson, and G.L. Nemhauser. (2001). “Solving Large Airline Crew Scheduling Problems: Random Pairing Generation and Strong Branching.” Computational Optimization and Applications, 20, 73–91.
Klabjan, D., E.L. Johnson, G.L. Nemhauser, E. Gelman, and S. Ramaswamy. (2002). “Airline Crew Scheduling with Time Windows and Plane Count Constraints.” Transportation Science, 36, 337–348.
Lettovský, L., E.L. Johnson, and G.L. Nemhauser. (2000). “Airline Crew Recovery.” Transportation Science, 34, 337–348.
Lohatepanont, M. and C. Barnhart. (2004). “Airline Schedule Planning: Integrated Models and Algorithms for Schedule Design and Fleet Assignment.” Transportation Science, 38, 19–32.
Rexing, B., C. Barnhart, and N. Krishnamurthy. (2000). “Airline Fleet Assignment with Time Windows.” Transportation Science, 34, 1–20.
Rosenberger, J.M., A.J. Schaefer, D. Goldsman, E.L. Johnson, A.J. Kleywegt, and G.L. Nemhauser. (2002). “A Stochastic Model of Airline Operations.” Transportation Science, 36, 357–377.
Schaefer, A.J. (2000). Airline Crew Scheduling under Uncertainty. PhD thesis, Georgia Institute of Technology.
Schaefer, A.J., E.L. Johnson, A.J. Kleywegt, and G.L. Nemhauser. (2004). “Airline Crew Scheduling Under Uncertainty.” Technical report Georgia Institute of Technology, TLI/LEC-01-01. Transportation Science.
Vance, P.H., A. Atamturk, C. Barnhart, E. Gelman, E.L. Johnson, A. Krishna, D. Madidhara, G.L. Nemhauser, and R. Rebello. (1997). “A Heuristic Branch-and-Price Approach for the Airline Crew Pairing Problem.” Technical Report TLI/LEC-97-06, Georgia Institute of Technology.
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AMS Classification: 90B06
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Schaefer, A.J., Nemhauser, G.L. Improving airline operational performance through schedule perturbation. Ann Oper Res 144, 3–16 (2006). https://doi.org/10.1007/s10479-006-0003-1
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DOI: https://doi.org/10.1007/s10479-006-0003-1