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An Application of Late Acceptance Hill-Climbing to the Traveling Purchaser Problem

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Computational Logistics (ICCL 2013)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8197))

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Abstract

Late Acceptance Hill Climbing (LAHC) is a recent metaheuristic in the realm of local search based procedures. The basic idea is to delay the comparison between neighborhood solutions and to compare new candidate solutions to a solution having been current several steps ago. The LAHC was first presented at the PATAT 2008 conference and successfully tested for exam timetabling, the traveling salesman problem (TSP) and the magic square problem and the results seemed extraordinary. The purpose of this paper is to analyze the behavior of the method and to provide some extended understanding about its success and limitations. To do so, we investigate the method for a generalized version of the TSP, the traveling purchaser problem.

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References

  1. Abuhamdah, A.: Experimental result of late acceptance randomized descent algorithm for solving course timetabling problems. International Journal of Computer Science and Network Security 10(1), 192–200 (2010)

    Google Scholar 

  2. Angelelli, E., Mansini, R., Vindigni, M.: Look-ahead heuristics for the dynamic traveling purchaser problem. Computers & Operations Research 38, 1867–1876 (2011)

    Article  MathSciNet  Google Scholar 

  3. Bellmore, M., Nemhauser, G.L.: The traveling salesman problem: A survey. Operations Research 16, 538–558 (1968)

    Article  MathSciNet  MATH  Google Scholar 

  4. Boctor, F., Laporte, G., Renaud, J.: Heuristics for the traveling purchaser problem. Computers & Operations Research 30, 491–504 (2003)

    Article  MATH  Google Scholar 

  5. Burke, E.K., Bykov, Y.: A late acceptance strategy in hill-climbing for exam timetabling problems. In: Proceedings of the 7th Int. Conf. on the Practice and Theory of Automated Timetabling, PATAT 2008 (2008)

    Google Scholar 

  6. Cambazard, H., Penz, B.: A constraint programming approach for the traveling purchaser problem. In: Milano, M. (ed.) CP 2012. LNCS, vol. 7514, pp. 735–749. Springer, Heidelberg (2012)

    Chapter  Google Scholar 

  7. Goldbarg, M.C., Bagi, L.B., Goldbarg, E.F.G.: Transgenetic algorithm for the traveling purchaser problem. European Journal of Operational Research 199, 36–45 (2009)

    Article  MATH  Google Scholar 

  8. Golden, B., Levy, L., Dahl, R.: Two generalizations of the traveling salesman problem. Omega 9, 439–441 (1981)

    Article  Google Scholar 

  9. Gouveia, L., Paias, A., Voß, S.: Models for a traveling purchaser problem with additional side-constraints. Computers & Operations Research 38, 550–558 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  10. Infante, D., Paletta, G., Vocaturo, F.: A ship-truck intermodal transportation problem. Maritime Economics & Logistics 11, 247–259 (2009)

    Article  Google Scholar 

  11. Karg, R.L., Thompson, G.L.: A heuristic approach to solving travelling salesman problems. Management Science 10, 225–248 (1964)

    Article  Google Scholar 

  12. Laporte, G., Riera-Ledesma, J., Salazar-González, J.: A branch-and-cut algorithm for the undirected traveling purchaser problem. Operations Research 51, 940–951 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  13. Ong, H.L.: Approximate algorithms for the travelling purchaser problem. Operations Research Letters 1, 201–205 (1982)

    Article  MATH  Google Scholar 

  14. Özcan, E., Bykov, Y., Birben, M., Burke, E.K.: Examination timetabling using late acceptance hyper-heuristics. In: IEEE Congress on Evolutionary Computation, CEC 2009, pp. 997–1004 (2009)

    Google Scholar 

  15. Ramesh, T.: Traveling purchaser problem. Opsearch 18, 78–91 (1981)

    MATH  Google Scholar 

  16. Riera-Ledesma, J., Salazar-González, J.: A heuristic approach for the travelling purchaser problem. European Journal of Operational Research 162, 142–152 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  17. Riera-Ledesma, J., Salazar-González, J.: Solving the asymmetric traveling purchaser problem. Annals of Operations Research 144, 83–97 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  18. Singh, K.N., van Oudheusden, D.L.: A branch and bound algorithm for the traveling purchaser problem. European Journal of Operational Research 97, 571–579 (1997)

    Article  MATH  Google Scholar 

  19. Teeninga, A., Volgenant, A.: Improved heuristics for the traveling purchaser problem. Computers & Operations Research 31, 139–150 (2004)

    Article  MATH  Google Scholar 

  20. Verstichel, J., Berghe, G.: A late acceptance algorithm for the lock scheduling problem. In: Voß, S., Pahl, J., Schwarze, S. (eds.) Logistik Management, pp. 457–478. Physica, Heidelberg (2009)

    Chapter  Google Scholar 

  21. Voß, S.: Dynamic tabu search strategies for the traveling purchaser problem. Annals of Operations Research 63, 253–275 (1996)

    Article  MATH  Google Scholar 

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Goerler, A., Schulte, F., Voß, S. (2013). An Application of Late Acceptance Hill-Climbing to the Traveling Purchaser Problem. In: Pacino, D., Voß, S., Jensen, R.M. (eds) Computational Logistics. ICCL 2013. Lecture Notes in Computer Science, vol 8197. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-41019-2_13

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  • DOI: https://doi.org/10.1007/978-3-642-41019-2_13

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-41018-5

  • Online ISBN: 978-3-642-41019-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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