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Probabilistic Move Selection in Tabu Search for Zero-One Mixed Integer Programming Problems

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Meta-Heuristics

Abstract

We extend our previous work applying first-level Tabu Search mechanisms to 0/1 MIP problems, introducing probabilistic measures for move selection. These are especially applicable when the move evaluation function is contaminated by noise or contains elements not directly related to the objective function value. We also look at the possibility of replacing tabu memory completely by associated probabilistic guidance. Our approach is designed with the ability to solve general 0/1 MCP problems, and thus contains no problem domain specific knowledge. The outcome improves significantly on the solutions obtained by the first-level Tabu Search mechanisms previously employed. The probabilistic measures are extremely simple to implement, and can be readily incorporated in standard Tabu Search designs.

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References

  • R. Aboudi and K. Jörnsten, Tabu Search for general Zero-One Integer Programs using the Pivot and Complement Heuristic. ORSA Journal on Computing, Vol 6, No. 1 (1994), pp 82–93.

    Google Scholar 

  • E. Balas and C. Martin, Pivot and Complement — Heuristic for 0–1 Programming. Management Science 26, No. 1 (1980), pp 86–96.

    Article  Google Scholar 

  • D. Connolly, General Purpose Simulated Annealing. Journal of the Operational Research Society, Vol. 43, No. 5, (1992), pp 495–505.

    Google Scholar 

  • K. A. Dowsland, Simulated Annealing, in: Modern Heuristics for Combinatorial Problems, ed. C. R. Reeves, (Blackwell, Oxford, 1993).

    Google Scholar 

  • A. Drexl, A Simulated Annealing Approach to the Multi-constraint Zero-One Knapsack Problem. Computing 40 (1988), pp 1–8.

    Article  Google Scholar 

  • M. Gendreau, A. Hertz and G. Laporte, A Tabu Search Heuristic for the Vehicle Routing Problem. Management Science, Vol 40, No. 10, (1994), pp 1276–1290.

    Article  Google Scholar 

  • F. Glover, Tabu Search — Part I. ORSA Journal of Computing. Vol 1, No. 3 (1989), pp 190–206.

    Google Scholar 

  • F. Glover, Tabu Thresholding: Improving Search by Nonmonotonic Trajectories. Working paper, University of Colorado at Boulder (1994). (To appear in ORSA Journal on Computing).

    Google Scholar 

  • F. Glover and M. Laguna, Tabu Search, in: Modern Heuristics for Combinatorial Problems, ed. C. R. Reeves, (Blackwell, Oxford, 1993).

    Google Scholar 

  • F. Glover, M. Laguna, E. Taillard and D. de Werra. Annals of Operations Research, Vol 41. (J. C. Baltzer AG, 1993).

    Google Scholar 

  • F. Glover and A. Løkketangen. Solving Zero-One Mixed Integer Programming Problems using Tabu Search. Working Paper, Institute of Informatics, Molde College, Norway, (1995a).

    Google Scholar 

  • F. Glover and A. Løkketangen. Probabilistic Tabu Search for Zero-One Mixed Integer Programming Problems. Working Paper, Institute of Informatics, Molde College, Norway, (1995b).

    Google Scholar 

  • F. Glover, E. Taillard and D. de Werra. A User’s Guide to Tabu Search in: Annals of Operations Research, Vol 41, (1993), pp 3–28.

    Google Scholar 

  • F. Glover and C. McMillan. The General Employee Scheduling Problem: An Integration of Management Science and Artificial Intelligence. Computers and Operations Research, Vol. 15, No. 5 (1986), 563–593.

    Article  Google Scholar 

  • J. P. Hart and A. W. Shogan, Semi-Greedy Heuristics: An Empirical Study. Operations Research Letters, Vol. 6, No. 3, (1987), pp 107–114

    Article  Google Scholar 

  • J.P. Kelly, B. Golden and A.A. Assad, Large-Scale Controlled Rounding Using Tabu Search with Strategic Oscillation. Annals of Operations Research. Vol. 41 (1993), pp 69–84.

    Article  Google Scholar 

  • A. Løkketangen, K. Jörnsten and S. Storøy. Tabu Search Within a Pivot and Complement Framework. International Transactions of Operations Research Vol. 1, No. 3, (1994), pp 305–316.

    Article  Google Scholar 

  • R. E. Marsten. XMP Technical Reference Manual, XMP Software. (1989a).

    Google Scholar 

  • R. E. Marsten. User’s Manual for ZOOM/XMP, XMP Software. (1989b).

    Google Scholar 

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© 1996 Kluwer Academic Publishers

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Løkketangen, A., Glover, F. (1996). Probabilistic Move Selection in Tabu Search for Zero-One Mixed Integer Programming Problems. In: Osman, I.H., Kelly, J.P. (eds) Meta-Heuristics. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-1361-8_28

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  • DOI: https://doi.org/10.1007/978-1-4613-1361-8_28

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4612-8587-8

  • Online ISBN: 978-1-4613-1361-8

  • eBook Packages: Springer Book Archive

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