Advertisement

The Aircraft Maintenance Routing Problem

  • Zhe Liang
  • Wanpracha Art Chaovalitwongse
Chapter
Part of the Springer Optimization and Its Applications book series (SOIA, volume 30)

Summary

The airline network is one of the world’s most sophisticated, yet very complex, networks. Airline planning and scheduling operations have posed many great logistics challenges to operations researchers. Optimizing flight schedules, maximizing aircraft utilization, and minimizing aircraft maintenance costs can drastically improve the airlines’ resource management, competitive position and profitability. However, optimizing today’s airline complex networks is not an easy task. There are four major optimization problems in the airline industry including flight scheduling problem, fleet assignment problem, crew pairing problem, and aircraft maintenance routing problem. These problems have been widely studied over the past few decades. Yet, they remain unsolved due to the size and complexity. In this chapter, we provide a review of advances in optimization applied to these logistics problems in the airline industry as well as give a thorough discussion on the aircraft maintenance routing problem. Several mathematical formulations and solution methods for the aircraft maintenance routing problem will also be presented. Later, we conclude the current research and discuss possible future research of this problem.

Keywords

Bender Decomposition Crew Schedule Airline Industry Euler Tour Aircraft Maintenance 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Refereneces

  1. 1.
    C. Barnhart, N. Boland, L. Clarke, E. Johnson, G. Nemhauser, and R. Shenoi. Flight string models for aircraft fleeting and routing. Transportation Science, 32(3):208–220, 1998.MATHCrossRefGoogle Scholar
  2. 2.
    C. Barnhart, E. Johnson, G. Nemhauser, and P. Vance. Crew scheduling. In R.W. Hall, editor, Handbook of Transportation Science, pages 493–521. Kluwer Scientific Publishers, 1999.Google Scholar
  3. 3.
    N. Boland, L. Clarke, and G. Nemhauser. The asymmetric traveling salesman problem with replenishment arcs. European Journal of Operational Research, 123:408–427, 2000.MATHCrossRefMathSciNetGoogle Scholar
  4. 4.
    G. Chartrand and O. Oellermann. Applied and Algorithmic Graph Theory. McGraw-Hill, 1993.Google Scholar
  5. 5.
    L. Clarke, C. A. Hane, E. Johnson, and G. Nemhauser. Maintenance and crew considerations in the fleet assignment. Transportation Science, 30(3):249–260, 1996.MATHCrossRefGoogle Scholar
  6. 6.
    L. Clarke, E. Johnson, G. Nemhauser, and Z. Zhu. The aircraft rotation problem. Annals of Operations Research, 69:33–46, 1997.MATHCrossRefGoogle Scholar
  7. 7.
    A. Cohn and C. Barnhart. Improving crew scheduling by incorporating key maintenance routing decisions. Operations Research, 51(3):387–396, 2003.MATHMathSciNetGoogle Scholar
  8. 8.
    J. Cordeau, G. Stojkoviac, F. Soumis, and J. Desrosiers. Benders decomposition for simultaneous aircraft routing and crew scheduling. Transportation Science, 35(4):375–388, 2001.MATHCrossRefGoogle Scholar
  9. 9.
    M. Elf and V. Kaibel. Rotation planning for the continental service of a European airline. In W. Jager and H. Krebs, editors, Mathematics - Key Technologies for the Future: Joint Projects between Universities and Industry, pages 675–689. Springer, 2003.Google Scholar
  10. 10.
    A. Erdmann, A. Nolte, A. Noltemeier, and R. Schrader. Modeling and solving an airline schedule generation problem. Annals of Operations Research, 107:117–142, 2001.MATHCrossRefMathSciNetGoogle Scholar
  11. 11.
    FAA. Federal Aviation Regulations. URL: http://www.faa.gov/avr/afs, 2002.
  12. 12.
    M. Gamache and F. Soumis. A method for optimally solving the rostering problem. In G. Yu, editor, Operations Research in the Airline Industry, pages 124–157. Kluwer Academic Publishers, 1998.Google Scholar
  13. 13.
    R. Gopalan and K. Talluri. The aircraft maintenance routing problem. Operations Research, 46(2):260–271, 1998.MATHCrossRefGoogle Scholar
  14. 14.
    C. Hane, C. Barnhart, E. Johnson, R. Marsten, G. Nemhauser, and G. Sigismondi. The fleet assignment problem: Solving a large-scale integer program. Mathematical Programming, 70:211–232, 1995.MathSciNetGoogle Scholar
  15. 15.
    D. Klabjan, E. Johnson, G. Nemhauser, E. Gelman, and S. Ramaswamy. Airline crew scheduling with time windows and plane count constraints. Transportation Science, 36(3):337–348, 2002.MATHCrossRefGoogle Scholar
  16. 16.
    Z. Liang and W. Chaovalitwongse. Novel network based model for aircraft maintenance routing problem. Technical report, Rutgers University, Industrial & Systems Engineering Department, 2007.Google Scholar
  17. 17.
    V. Mak and N. Boland. Heuristic approaches to the asymmetric travelling salesman problem with replenishment arcs. International Transactions in Operational Research, 7:431–447, 2000.CrossRefMathSciNetGoogle Scholar
  18. 18.
    A. Mercier, J. Cordeau, and F. Soumis. A computational study of Benders decomposition for integrated aircraft routing and crew scheduling problem. Computer & Operations Research, 32:1451–1476, 2005.CrossRefMathSciNetGoogle Scholar
  19. 19.
    A. Mercier and F. Soumis. An integrated aircraft routing, crew scheduling and flight retiming model. Computer & Operations Research, 34:2251–2265, 2007.MATHCrossRefGoogle Scholar
  20. 20.
    R. L. Phillips, D.W. Boyd, and T.A. Grossman. An algorithm for calculating consistent itinerary flows. Transportation Science, 25:225–239, 1991.MATHCrossRefGoogle Scholar
  21. 21.
    D. Ryan and B. Foster. An integer programming approach to scheduling. In A. Wren, editor, Computer Scheduling of Public Transport: Urban Passenger Vehicle and Crew Scheduling, pages 269–280. North-Holland, 1981.Google Scholar
  22. 22.
    A. Sarac, R. Batta, and C. Rump. A branch-and-price approach for operational aircraft maintenance routing. European Journal of Operational Research, 175:1850–1869, 2006.MATHCrossRefGoogle Scholar
  23. 23.
    H. Sherali, E. Bish, and X. Zhu. Airline fleet assignment concepts, models and algorithms. European Journal of Operational Research, 172:1–30, 2006.MATHCrossRefGoogle Scholar
  24. 24.
    C. Sriram and A. Haghani. An optimization model for aircraft maintenance scheduling and re-assignment. Transportation Research Part A, 37:29–48, 2003.Google Scholar
  25. 25.
    K. Talluri. The four-day aircraft maintenance routing problem. Transportation Science, 32(1):43–53, 1998.MATHCrossRefGoogle Scholar

Copyright information

© Springer-Verlag US 2009

Authors and Affiliations

  1. 1.Department of Industrial and Systems EngineeringRutgers UniversityPiscataway

Personalised recommendations