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Search-space smoothing for combinatorial optimization problems

Author

Listed:
  • Schneider, Johannes
  • Dankesreiter, Markus
  • Fettes, Werner
  • Morgenstern, Ingo
  • Schmid, Martin
  • Maria Singer, Johannes

Abstract

Commonly there are two types of local search approaches known to treat combinatorial optimization problems with very complex search-space structure: One is to introduce very complicated types of local move classes, allowing a bypass of high energetic barriers separating different minima. The second is introducing a control-parameter (i.e. temperature in physics terminology) dependent state space walker, which is — depending on this control parameter — more or less easily able to climb over barriers. A third, less well-known, but very obvious approach is to smooth the search space, i.e. to eliminate barriers between low-energy configurations and therefore to allow a fast and easy approach to the global optimum. This procedure will be discussed in depth in the following work.

Suggested Citation

  • Schneider, Johannes & Dankesreiter, Markus & Fettes, Werner & Morgenstern, Ingo & Schmid, Martin & Maria Singer, Johannes, 1997. "Search-space smoothing for combinatorial optimization problems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 243(1), pages 77-112.
    • Handle: RePEc:eee:phsmap:v:243:y:1997:i:1:p:77-112
    DOI: 10.1016/S0378-4371(97)00207-0
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    Citations

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    Cited by:

    1. Ninio, Matan & Schneider, Johannes J., 2005. "Weight annealing," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 349(3), pages 649-666.
    2. Ransberger, Martin & Morgenstern, Ingo & Schneider, Johannes J., 2011. "Influence of rounding errors on the quality of heuristic optimization algorithms," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(13), pages 2571-2581.
    3. Markus Manssen & Alexander Hartmann, 2015. "Matrix-power energy-landscape transformation for finding NP-hard spin-glass ground states," Journal of Global Optimization, Springer, vol. 61(1), pages 183-192, January.
    4. Coy, Steven P. & Golden, Bruce L. & Wasil, Edward A., 2000. "A computational study of smoothing heuristics for the traveling salesman problem," European Journal of Operational Research, Elsevier, vol. 124(1), pages 15-27, July.

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