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Exploiting relaxation in local search for LABS

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  • Steven Prestwich

Abstract

Branch-and-bound uses relaxation to prune search trees but sometimes scales poorly to large problems. Conversely, local search often scales well but may be unable to find optimal solutions. Both phenomena occur in the construction of low-autocorrelation binary sequences (LABS), a problem arising in communication engineering. This paper proposes a hybrid approach to optimization: using relaxation to prune local search spaces. An implementation gives very competitive results, showing the feasibility of the approach. Copyright Springer Science+Business Media, LLC 2007

Suggested Citation

  • Steven Prestwich, 2007. "Exploiting relaxation in local search for LABS," Annals of Operations Research, Springer, vol. 156(1), pages 129-141, December.
    • Handle: RePEc:spr:annopr:v:156:y:2007:i:1:p:129-141:10.1007/s10479-007-0226-9
    DOI: 10.1007/s10479-007-0226-9
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    References listed on IDEAS

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    1. S. Lin & B. W. Kernighan, 1973. "An Effective Heuristic Algorithm for the Traveling-Salesman Problem," Operations Research, INFORMS, vol. 21(2), pages 498-516, April.
    2. Steven Prestwich, 2004. "Incomplete Dynamic Backtracking for Linear Pseudo-Boolean Problems," Annals of Operations Research, Springer, vol. 130(1), pages 57-73, August.
    3. S. Prestwich, 2003. "Negative Effects of Modeling Techniques on Search Performance," Annals of Operations Research, Springer, vol. 118(1), pages 137-150, February.
    4. Steven Prestwich, 2002. "Combining the Scalability of Local Search with the Pruning Techniques of Systematic Search," Annals of Operations Research, Springer, vol. 115(1), pages 51-72, September.
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