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  • In this paper, two state-of-the-art algorithms for the Traveling Salesman Problem (TSP) are examined in the multi-goal path planning problem motivated by inspection planning in the polygonal domain W. Both algorithms are based on the self-organizing map (SOM) for which an application in W is not typical. The first is Somhom's algorithm, and the second is the Co-adaptive net. These algorithms are augmented by a simple approximation of the shortest path among obstacles in W. Moreover, the competitive and cooperative rules are modified by recent adaptation rules for the Euclidean TSP, and by proposed enhancements to improve the algorithms' performance in the non-Euclidean TSP. Based on the modifications, two new variants of the algorithms are proposed that reduce the required computational time of their predecessors by an order of magnitude, therefore making SOM more competitive with combinatorial heuristics.
  • In this paper, two state-of-the-art algorithms for the Traveling Salesman Problem (TSP) are examined in the multi-goal path planning problem motivated by inspection planning in the polygonal domain W. Both algorithms are based on the self-organizing map (SOM) for which an application in W is not typical. The first is Somhom's algorithm, and the second is the Co-adaptive net. These algorithms are augmented by a simple approximation of the shortest path among obstacles in W. Moreover, the competitive and cooperative rules are modified by recent adaptation rules for the Euclidean TSP, and by proposed enhancements to improve the algorithms' performance in the non-Euclidean TSP. Based on the modifications, two new variants of the algorithms are proposed that reduce the required computational time of their predecessors by an order of magnitude, therefore making SOM more competitive with combinatorial heuristics. (en)
Title
  • On the Performance of Self-organizing Maps for the Non-Euclidean Traveling Salesman Problem in the Polygonal Domain
  • On the Performance of Self-organizing Maps for the Non-Euclidean Traveling Salesman Problem in the Polygonal Domain (en)
skos:prefLabel
  • On the Performance of Self-organizing Maps for the Non-Euclidean Traveling Salesman Problem in the Polygonal Domain
  • On the Performance of Self-organizing Maps for the Non-Euclidean Traveling Salesman Problem in the Polygonal Domain (en)
skos:notation
  • RIV/68407700:21230/11:00182180!RIV12-MSM-21230___
http://linked.open...avai/riv/aktivita
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  • P(7E08006)
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  • 19
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  • 218255
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  • RIV/68407700:21230/11:00182180
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  • Self-Organizing Map (SOM); Traveling Salesman Problem (TSP); Multi-Goal Path Planning (en)
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  • US - Spojené státy americké
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  • [527D08AE6E9D]
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  • Information Sciences
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  • 181
http://linked.open...iv/tvurceVysledku
  • Faigl, Jan
http://linked.open...ain/vavai/riv/wos
  • 000293304600010
issn
  • 0020-0255
number of pages
http://bibframe.org/vocab/doi
  • 10.1016/j.ins.2011.05.019
http://localhost/t...ganizacniJednotka
  • 21230
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