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A Combined Greedy Neighbor Generation Method of Local Search for the Traveling Salesman Problem

  • Journal of The Korea Society of Computer and Information
  • Abbr : JKSCI
  • 2024, 29(4), pp.1-8
  • DOI : 10.9708/jksci.2024.29.04.001
  • Publisher : The Korean Society Of Computer And Information
  • Research Area : Engineering > Computer Science
  • Received : February 19, 2024
  • Accepted : March 27, 2024
  • Published : April 30, 2024

Yongho Kim 1 Junha Hwang ORD ID 2

1국립금오공과대학교
2금오공과대학교

Accredited

ABSTRACT

The traveling salesman problem(TSP) is one of the well known combinatorial optimization problems. Local search has been used as a method to solve TSP. Greedy Random Insertion(GRI) is known as an effective neighbor generation method for local search. GRI selects some cities from the current solution randomly and inserts them one by one into the best position of the current partial solution considering only one city at a time. We first propose another greedy neighbor generation method which is named Full Greedy Insertion(FGI). FGI determines insertion location one by one like GRI, but considers all remaining cities at once. And then we propose a method to combine GRI with FGI, in which GRI or FGI is randomly selected and executed at each iteration in simulated annealing. According to the experimental results, FGI alone does not necessarily perform very well. However, we confirmed that the combined method outperforms the existing local search methods including GRI.

Citation status

* References for papers published after 2023 are currently being built.

This paper was written with support from the National Research Foundation of Korea.