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Construction Heuristics and Domination Analysis for the Asymmetric TSP

  • Fred Glover
  • Gregory Gutin
  • Anders Yeo
  • Alexey Zverovich
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1668)

Abstract

Non-Euclidean TSP construction heuristics, and especially asymmetric TSP construction heuristics, have been neglected in the literature by comparison with the extensive efforts devoted to studying Euclidean TSP construction heuristics. Motivation for remedying this gap in the study of construction approaches is increased by the fact that such methods are a great deal faster than other TSP heuristics, which can be important for real time problems requiring continuously updated response. The purpose of this paper is to describe two new construction heuristics for the asymmetric TSP and a third heuristic based on combining the other two. Extensive computational experiments are performed for several different families of TSP instances, disclosing that our combined heuristic clearly outperforms well-known TSP construction methods and proves significantly more robust in obtaining high quality solutions over a wide range of problems. We also provide a short overview of recent results in domination analysis of TSP construction heuristics.

Keywords

Travel Salesman Problem Travel Salesman Problem Domination Number Combine Algorithm Construction Heuristic 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • Fred Glover
    • 1
  • Gregory Gutin
    • 2
  • Anders Yeo
    • 3
  • Alexey Zverovich
    • 2
  1. 1.School of BusinessUniversity of ColoradoBoulderUSA
  2. 2.Department of Mathematics and StatisticsBrunel UniversityMiddlesexUK
  3. 3.Department of Mathematics and StatisticsUniversity of VictoriaVictoria B.C.Canada

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