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Looking Ahead with the Pilot Method

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Abstract

The pilot method as a meta-heuristic is a tempered greedy method aimed at obtaining better solutions while avoiding the greedy trap by looking ahead for each possible choice. Repeatedly a master solution is modified; each time in a minimal fashion to account for best choices, where choices are judged by means of a separate heuristic result, the pilot solution.

The pilot method may be seen as a meta-heuristic enhancing the quality of (any) heuristic in a system for heuristic repetition. Experiments show that the pilot method as well as similar methods can behave quite competitively in comparison with well-known and accepted meta-heuristics. In this paper we review some less known results. As a higher time complexity is usually associated with repetition, we investigate a simple short-cut policy to reduce the running times, while retaining an enhanced solution quality. Furthermore, we report successful experiments that incorporate a distinguishing feature of the pilot method, which is the extension of neighborhoods into “local” search, creating tabu search hybrids.

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References

  • Amberg, A., L. Gouveia, P. Martins, and S. Voß. (1999). “Iterative Heuristic Metastrategies.” In MIC'99, Third Metaheuristics International Conference, Angra dos Reis, Rio de Janeiro, Brazil, July 19–23, 1999, pp. 13–16.

  • Balas, E. and A. Vazacopoulos. (1998). “Guided Local Search with Shifting Bottleneck for Job Shop Scheduling.” Management Science 44, 262–275.

    Google Scholar 

  • Belvaux, G., N. Boissin, A. Sutter, and L.A. Wolsey. (1998). “Optimal Placement of Add/Drop Multiplexers: Static and Dynamic Models.” European Journal of Operational Research 108, 26–35.

    Article  Google Scholar 

  • Bertsekas, D.P. and D.A. Castanon. (1999). “Rollout Algorithms for Stochastic Scheduling Problems.” Journal of Heuristics 5, 89–108.

    Article  Google Scholar 

  • Bertsekas, D.P., J.N. Tsitsiklis, and C. Wu. (1997). “Rollout Algorithms for Combinatorial Optimization.” Journal of Heuristics 3, 245–262.

    Article  Google Scholar 

  • Caseau, Y., F. Laburthe, and G. Silverstein. (1999). “A Meta-Heuristic Factory for Vehicle Routing Problems.” In J. Jaffar (ed.), Principles and Practice of Constraint Programming – CP '99, Lecture Notes in Computer Science, 1713, Berlin: Springer, pp. 144–158.

    Google Scholar 

  • Cosares, S. and I. Saniee. (1994). “An Optimization Problem Related to Balancing Loads on SONET Rings.” Telecommunication Systems 3, 165–181.

    Article  Google Scholar 

  • Dudek, R.A., S.S. Panwalkar, and M.L. Smith. (1992). “The Lessons of Flowshop Scheduling Research.” Operations Research 40, 7–13.

    Google Scholar 

  • Duin, C.W. and S. Voß. (1994). “Steiner Tree Heuristics—A Survey.” In H. Dyckhoff, U. Derigs, M. Salomon, and H.C. Tijms. (Eds.), Operations Research Proceedings 1993, Berlin: Springer, pp. 485–496.

    Google Scholar 

  • Duin, C.W. and S. Voß. (1999). “The Pilot Method: A Strategy for Heuristic Repetition with Application to the Steiner Problem in Graphs.” Networks 34, 181–191.

    Article  Google Scholar 

  • Fink, A., G. Schneidereit, and S. Voß. (2000). “Solving General Ring Network Design Problems by Meta-Heuristics.” In M. Laguna and J.L. González Velarde (eds.), Computing Tools for Modeling, Optimization and Simulation, Boston: Kluwer, pp. 91–113.

    Google Scholar 

  • Fink, A. and S. Voß. (1999). “Applications of Modern Heuristic Search Methods to Pattern Sequencing Problems.” Computers & Operations Research 26, 17–34.

    Article  Google Scholar 

  • Fink, A. and S. Voß. (2001). “Efficient Meta-Heuristics Approaches for Ring Load Balancing.” In Proceedings of the 9th International Conference on Telecommunication Systems, 243–250. Southern Methodist University, Dallas.

  • Fink, A. and S. Voß. (2003). “Solving the Continuous Flow-Shop Scheduling Problem by Metaheuristics.” European Journal of Operational Research 151, 400–414.

    Article  Google Scholar 

  • Garey, M.R. and D.S. Johnson. (1979). Computers and Intractability—A Guide to the Theory of NP-completeness.” New York: Freeman.

    Google Scholar 

  • Gavish, B. (1991). “Manifold Search Techniques Applied to Quadratic Assignement Problems (QAP).” Working paper, Owen Graduate School of Management, Vanderbilt University, Nashville.

  • Gendreau, M., M. Labbé, and G. Laporte. (1995). “Efficient Heuristics for the Design of Ring Networks.” Telecommunication Systems 4, 177–188.

    Article  Google Scholar 

  • Glover, F. (1998). “A Template for Scatter Search and Path Relinking.” In J.-K. Hao, E. Lutton, E. Ronald, M. Schoenauer, and D. Snyers (eds.), Artificial Evolution, Lecture Notes in Computer Science, 1363, Berlin: Springer, pp. 13–54.

    Google Scholar 

  • Glover, F., E. Taillard, and D. de Werra. (1993). “A User's Guide to Tabu Search.” Annals of Operations Research 41, 3–28.

    Article  Google Scholar 

  • Gouveia, L. and S. Voß. (1995). “A Classification of Formulations for the (Time-Dependent) Traveling Salesman Problem.” European Journal of Operational Research 83, 69–82.

    Article  Google Scholar 

  • Harvey, W. and M. Ginsberg. (1995). “Limited Discrepancy Search.” In Proceedings of the 14th International Joint Conference on Artificial Intelligence (IJCAI-95), Morgan Kaufmann, San Mateo, pp. 607–615.

  • Karp, R. (1972). “Reducibility Among Combinatorial Problems.” In R.E. Miller and J.W. Thatcher (eds.), Complexity of Computer Computations, New York: Plenum Press, pp. 85–103.

    Google Scholar 

  • Lawler, E.L., J.K. Lenstra, A.H.G. Rinnooy Kan, and D.B. Shmoys. (1985). The Traveling Salesman Problem. Chichester: Wiley.

    Google Scholar 

  • Meloni, C., D. Pacciarelli, and M. Pranzo. (2004). “A Rollout Metaheuristic for Job Shop Scheduling Problems.” Annals of Operations Research 131, 215–235.

    Article  Google Scholar 

  • Myung, Y.-S., H.-G. Kim, and D.-W. Tcha. (1997). “Optimal Load Balancing on SONET Bidirectional Rings.” Operations Research 45, 148–152.

    Google Scholar 

  • Pearl, J. (1984). Heuristics: Intelligent Search Strategies for Computer Problem Solving. Reading, Addison-Wesley.

    Google Scholar 

  • Picard, J.-C. and M. Queyranne. (1978). “The Time-Dependent Traveling Salesman Problem and its Application to the Tardiness Problem in One-Machine Scheduling.” Operations Research 26, 86–110.

    Article  Google Scholar 

  • Rayward-Smith, V.J. and A. Clare. (1986). “On Finding Steiner Vertices.” Networks 16, 283–294.

    Google Scholar 

  • Shyu, S.J., P.-Y. Yin, and B.M.T. Lin. (2004). “An Ant Colony Optimization Algorithm for the Minimum Weight Vertex Cover Problem.” Annals of Operations Research 131, 283–304.

    Article  Google Scholar 

  • Sourd, F. (2001). “Scheduling Tasks on Unrelated Machines: Large Neighborhood Improvement Procedures.” Journal of Heuristics 7, 519–531.

    Article  Google Scholar 

  • Sourd, F. and P. Chrétienne. (1999). “Fiber-to-object Assignment Heuristics.” European Journal of Operational Research 117, 1–14.

    Article  Google Scholar 

  • Taillard, E. (1993). “Benchmarks for Basic Scheduling Instances.” European Journal of Operational Research 64, 278–285.

    Article  Google Scholar 

  • Voß, S. (1990). Steiner-Probleme in Graphen. Frankfurt am Main: Hain.

    Google Scholar 

  • Voß, S., S. Martello, I.H. Osman, and C. Roucairol (eds.) (1999). Meta-Heuristics: Advances and Trends in Local Search Paradigms for Optimization. Boston: Kluwer.

    Google Scholar 

  • Voudouris, C. and E.P.K. Tsang. (2003). “Guided Local Search.” In F. Glover and G.A. Kochenberger (eds.), Handbook of Metaheuristics. Boston: Kluwer, pp. 185–218.

    Google Scholar 

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Voßs, S., Fink, A. & Duin, C. Looking Ahead with the Pilot Method. Ann Oper Res 136, 285–302 (2005). https://doi.org/10.1007/s10479-005-2060-2

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