New TSP Construction Heuristics and Their Relationshipsto the 2-Opt

  • Authors:
  • Hiroyuki Okano;Shinji Misono;Kazuo Iwano

  • Affiliations:
  • IBM Japan, Tokyo Research Laboratory, 1623-14 Shimotsuruma, Yamato, Kanagawa 242-8502, Japan;IBM Japan, Tokyo Research Laboratory, 1623-14 Shimotsuruma, Yamato, Kanagawa 242-8502, Japan;IBM Japan, Tokyo Research Laboratory, 1623-14 Shimotsuruma, Yamato, Kanagawa 242-8502, Japan

  • Venue:
  • Journal of Heuristics
  • Year:
  • 1999

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Abstract

Correction heuristicsfor the traveling salesman problem (TSP), with the 2-Opt appliedas a postprocess, are studied with respect to their tour lengthsand computation times. This study analyzes the ’’2-Opt dependency,‘‘which indicates how the performance of the 2-Opt depends on theinitial tours built by the construction heuristics. In accordancewith the analysis, we devise a new construction heuristic, the recursive-selection with long-edge preference (RSL) method,which runs faster than the multiple-fragment method and producesa comparable tour when they are combined with the 2-Opt.