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Tabu Guided Generalized Hill Climbing Algorithms

Author

Listed:
  • Diane E. Vaughan

    (Los Alamos National Laboratory)

  • Sheldon H. Jacobson

    (University of Illinois)

Abstract

This paper formulates tabu search strategies that guide generalized hill climbing (GHC) algorithms for addressing NP-hard discrete optimization problems. The resulting framework, termed tabu guided generalized hill climbing (TG2HC) algorithms, uses a tabu release parameter that probabilistically accepts solutions currently on the tabu list. TG2HC algorithms are modeled as a set of stationary Markov chains, where the tabu list is fixed for each outer loop iteration. This framework provides practitioners with guidelines for developing tabu search strategies to use in conjunction with GHC algorithms that preserve some of the algorithms’ known performance properties. In particular, sufficient conditions are obtained that indicate how to design iterations of problem-specific tabu search strategies, where the stationary distributions associated with each of these iterations converge to the distribution with zero weight on all non-optimal solutions.

Suggested Citation

  • Diane E. Vaughan & Sheldon H. Jacobson, 2004. "Tabu Guided Generalized Hill Climbing Algorithms," Methodology and Computing in Applied Probability, Springer, vol. 6(3), pages 343-354, September.
    • Handle: RePEc:spr:metcap:v:6:y:2004:i:3:d:10.1023_b:mcap.0000026564.87435.66
    DOI: 10.1023/B:MCAP.0000026564.87435.66
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    References listed on IDEAS

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    1. Fred Glover, 1989. "Tabu Search---Part I," INFORMS Journal on Computing, INFORMS, vol. 1(3), pages 190-206, August.
    2. Ulrich Faigle & Walter Kern, 1992. "Some Convergence Results for Probabilistic Tabu Search," INFORMS Journal on Computing, INFORMS, vol. 4(1), pages 32-37, February.
    3. George L. Nemhauser, 1994. "The Age of Optimization: Solving Large-Scale Real-World Problems," Operations Research, INFORMS, vol. 42(1), pages 5-13, February.
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