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Bestimmung optimaler Einsatzpläne für Flugpersonal

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Zusammenfassung

Unter dem Airline-Crew-Scheduling-Problem versteht man das Problem, einen optimalen Einsatzplan für das fliegende Personal einer Fluggesellschaft zu finden. Das Airline-Crew-Scheduling-Problem wurde während der vergangenen 40 Jahre kontinuierlich untersucht, wobei stets nach approximativen Lösungen gesucht wurde, selbst bei sehr kleinen Flottengrößen. Da die Ko¬sten für das fliegende Personal der größten US-Fluggesellschaften heutzutage nicht selten 1,3 Milliarden US-Dollar überschreiten (sie bilden nach den Treibstoffkosten den zweitgrößten Posten der gesamten Betriebskosten), ist das Airline-Crew-Scheduling-Problem von zentraler Bedeutung. Einsparungen von wenigen Prozent bei den Kosten für das fliegende Personal schlagen sich in erheblichen absoluten Beträgen nieder.

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Literatur

  1. Anbil, R., E. Gelman, B. Patty and R. Tanga: Recent Advances in Crew Pairing Optimization at American Airlines. Interfaces 21 (1991) 62–74

    Article  Google Scholar 

  2. E. Balas and M. Padberg: Set Partitioning: A survey. SIAM Review 18 (1976) 710–760

    Article  MathSciNet  MATH  Google Scholar 

  3. Barahona, M., M. Grötschel, M. Jünger and G. Reinelt: An Application of Combinatorial Optimization to Statistical Physics and Circuit Layout Design. Operations Research 36 (1988) 493–513

    Article  MATH  Google Scholar 

  4. Barnhart, C., E. L. Johnson, R. Anbil and L. Hatay: A Column Gene-ration Technique for the Long-haul Crew Assignment Problem. Report #COC-91-Ol, School of Industrial and System Engineering, Georgia Institute of Technology 1991

    Google Scholar 

  5. Barutt, J. and T. Hull: Airline Crew Scheduling: Supercomputers and Algorithms, SIAM News 23 (1990) November

    Google Scholar 

  6. Bixby, R. E.: Implementing the Simplex Methods. Part I, Introduction. Part II, The Initial Basis. TR 90-32 Mathematical Sciences, Rice University, Houston, TX 1990

    Google Scholar 

  7. Bixby, R. E. and E. Boyd: Using the CPLEX Callable Library. Manuals distributed by Cplex Optimization INC., 7710-T Cherry Park, Houston, TX 1990

    Google Scholar 

  8. Borneman, D. R.: The Evolution of Airline Crew Pairing Optimization. AGIFORS Crew Management Study Group Proceedings, Paris, May 1982

    Google Scholar 

  9. Cannon, T. L. and K. L.Hoffman: Large-Scale 0–1 Linear Programming on Distributed Workstations. Annals of Operations Research 22 (1990) 181–217

    Article  MathSciNet  MATH  Google Scholar 

  10. Crowder, H., E. L. Johnson and M. Padberg: Solving Large Scale Zero- one Linear Programming Problems. Operations Research 31 (1983) 803–834

    Article  MATH  Google Scholar 

  11. Cornuejols, G. and A. Sassano: On the 0, 1 Facets of the Set Covering Polytope. Mathematical Programming 43 (1989) 45–56

    Article  MathSciNet  MATH  Google Scholar 

  12. Desrochers, M. and F. Soumis: A Column Generation Approach to the Urban Transit Crew Scheduling Problem. Transportation Sci. 23 (1989) 1–13

    Article  MATH  Google Scholar 

  13. Ger bracht, R.: A New Algorithmn for Very Large Crew Pairing Problems. 18th AGIFORS Symposium, Vancouver, British Columbia, Canada 1978

    Google Scholar 

  14. Gershkoff, I.: Optimizing Flight Crew Schedules. Interfaces 19 (1989) 29–43

    Article  Google Scholar 

  15. Grötschel, M. and C. L. Monma: Integer Polyhedra Arising from Certain Network Design Problems with Connectivity Constraints. SIAM J. Discrete Mathematics 3 (1990) 502–523

    Article  MATH  Google Scholar 

  16. Grötschel, M., M. Jünger and G. Reinelt: Optimal Control of Plotting and Drilling Machines: A Case Study. Report No. 184, Universität Augsburg 1989

    Google Scholar 

  17. Hoffman, K. L. and M. Padberg: LP-based Combinatorial Problem Solving. Annals of Operations Research 4 (1985) 145–194

    Article  MathSciNet  Google Scholar 

  18. Hoffman, K. L. and M. Padberg: Techniques for Improving the LP- representation of Zero-one Linear Programming Problems. ORSA Journal on Computing 3 (1991) 121–134

    MATH  Google Scholar 

  19. Hoffman, K. L. and M. Padberg: Solving Airline Crew Scheduling Problems by Branch-and-Cut. Management Science 39 (1993) 657–682

    Article  MATH  Google Scholar 

  20. Lavoie, S., M. Minoux and E. Odier: A New Approach for Crew Pairing Problems by Column Generation with Application to Air Transportation. EJOR 35 (1988) 45–58

    Article  MATH  Google Scholar 

  21. Marsten, R. E. and F. Shepardson: Exact Solution of Crew Problems using the Set Partitioning Mode: Recent Successful Applications. Networks 11 (1981) 165–177

    Article  Google Scholar 

  22. Padberg, M.: Essays in Integer Programming. Ph. D. thesis, GSIA, Carnegie-Mellon University, Pittsburgh, PA 1971

    Google Scholar 

  23. Padberg, M.: On the Facial Structure of Set Packing Polyhedra. Mathematical Programming 5 (1973) 199–215

    Article  MathSciNet  MATH  Google Scholar 

  24. Padberg, M.: A Note on Zero-one Programming. Operations Research 23 (1975) 833–837

    Article  MathSciNet  MATH  Google Scholar 

  25. Padberg, M.: Covering, Packing and Knapsack Problems. Annals of Discrete Mathematics 4 (1979) 265–287

    Article  MathSciNet  MATH  Google Scholar 

  26. Padberg, M. and G. Rinaldi: An efficient Algorithm for the Minimum Capacity Cut Problem. Mathematical Programming 47 (1990) 19–36

    Article  MathSciNet  MATH  Google Scholar 

  27. Padberg, M. and G. Rinaldi: A Branch-and-Cut Algorithm for the Solution of Large-scale Traveling Salesman Problems. SIAM Review 33 (1991) 60–100

    Article  MathSciNet  MATH  Google Scholar 

  28. Rubin, J.: A Technique for the Solution of Massive Set Covering Problems, with Applications to Airline Crew Scheduling. Transportation Sci. 7 (1973) 34–48

    Article  Google Scholar 

  29. Sassano, A.: On the Facial Structure of the Set Covering Polytope. Mathematical Programming 44 (1989) 181–202

    Article  MathSciNet  MATH  Google Scholar 

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© 1995 Springer-Verlag Berlin Heidelberg

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Hoffman, K., Padberg, M. (1995). Bestimmung optimaler Einsatzpläne für Flugpersonal. In: Bachem, A., Jünger, M., Schrader, R. (eds) Mathematik in der Praxis. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-79763-7_26

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  • DOI: https://doi.org/10.1007/978-3-642-79763-7_26

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-79764-4

  • Online ISBN: 978-3-642-79763-7

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