A Memetic Algorithm for a Pick-Up and Delivery Problem by Helicopter

  • Nubia Velasco
  • Philippe Castagliola
  • Pierre Dejax
  • Christelle Guéret
  • Christian Prins
Part of the Studies in Computational Intelligence book series (SCI, volume 161)

Summary

This paper presents a memetic algorithm for a pick-up and delivery problem. The specific application studied here is the personnel transportation within a set of oil platforms by one helicopter that may have to undertake several routes in sequence. Different versions of the algorithm are presented and tested on randomly generated instances as well as on real instances provided by a petroleum company. The results show that the solutions obtained are 8% better than construction and improvement solutions on randomly generated instances.

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References

  1. 1.
    Cordeau, J.F., Laporte, G., Potvin, J.-Y., Savelsbergh, M.W.P.: Transportation on demand. In: Barnhart, C., Laporte, G. (eds.) Transportation, Handbooks in Operations Research and Management Science. Elsevier, Amsterdam (2005)Google Scholar
  2. 2.
    Desaulniers, G., Desrosiers, J., Erdmann, A., Solomon, M.M., Soumis, F.: VRP with pickup and delivery. In: Toth, P., Vigo, D. (eds.) The vehicle routing problem, Society for Industrial and Applied Mathematics, Philadelphia, PA, USA, pp. 225–242 (2001)Google Scholar
  3. 3.
    Fiala-Timlin, M.T., Pulleyblank, W.R.: Precedence constrained routing and helicopter scheduling: Heuristic design. Interfaces 22, 100–111 (1992)CrossRefGoogle Scholar
  4. 4.
    Hjorring, C.A.: The vehicle routing problem and local search metaheuristics. PhD thesis, Department of Engineering Science, The University of Auckland (1995)Google Scholar
  5. 5.
    Jih, W., Hsu, J.Y.: Dynamic vehicle routing using hybrid genetic algorithms. In: ICRA - International Conference on Robotics and Automation, vol. 1, Detroit, Michigan, pp. 453–458 (1999)Google Scholar
  6. 6.
    Jung, S., Haghani, A.: Genetic algorithm for a pick-up and delivery problem with time windows. Transportation Research Record, TRB(1733) (2000)Google Scholar
  7. 7.
    Moscato, P.: Memetic algorithms: A short introduction. In: Corne, D., Dorigo, M., Glover, F. (eds.) New Ideas in Optimization, pp. 219–234. McGraw-Hill, New York (1999)Google Scholar
  8. 8.
    Pankratz, G.: A grouping genetic algorithm for the pick-up and delivery problem with time windows, Department of Business Administration and Economics, Fern Universitat - University of Hagen, Hagen, Germany (2003)Google Scholar
  9. 9.
    Potter, T., Bossomaier, T.: Solving vehicle routing problems with genetic algorithms. In: ICEC International Conference on Evolutionary Computing, Perth, Australia, vol. 2, pp. 788–793 (1995)Google Scholar
  10. 10.
    Prins, C.: A simple and effective evolutionary algorithm for the vehicle routing problem. Computers and Operations Research 31, 1985–2002 (2004)MATHCrossRefMathSciNetGoogle Scholar
  11. 11.
    Prud´Homme, C., Dejax, P., Guéret, C., Velasco, N.: Heuristiques pour un problème réel de tournées d’hélicoptères de type pick-up and delivery. Technical report, École des Mines de Nantes, 04/5/AUTO (2004)Google Scholar
  12. 12.
    Sol, M., Savelsbergh, M.W.P.: A branch-and-price algorithm for the pickup and delivery problem with time windows. COSOR Memorandum 94-22, Dept. of Mathematics and Computing Science, Eindhoven University of Technology, Eindhoven, The Netherlands (1994)Google Scholar
  13. 13.
    Cormen, T.H., Leiserson, C.E., Rivest, R.L.: Introduction to algorithms. MIT Press, Cambridge (1990)MATHGoogle Scholar
  14. 14.
    Tijssen, G.A.: Theoretical and practical aspects of linear optimization. PhD thesis, Graduate School/Research Institute, Systems, organization and management. University of Groningen, Netherlands (2000)Google Scholar
  15. 15.
    Velasco, N., Dejax, P., Guéret, C.: Vehicle routing optimization for the pick-up and delivery: Application to the transport of personnel on oil platforms. EURO XX, Rhodes, Greece (2004)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Nubia Velasco
    • 1
  • Philippe Castagliola
    • 2
  • Pierre Dejax
    • 3
  • Christelle Guéret
    • 3
  • Christian Prins
    • 4
  1. 1.Universidad de los AndesColombia
  2. 2.IRCCyN – Université de NantesCarquefou CedexFrance
  3. 3.IRCCyN – École des Mines de Nantes, La ChantrerieNantes Cedex 3France
  4. 4.Institut Charles Delaunay – Université de Technologie de TroyesTroyes CedexFrance

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