Authors: | Hansen, Pierre Mladenović, Nenad |
Title: | First vs. best improvement: An empirical study | Journal: | Discrete Applied Mathematics | Volume: | 154 | Issue: | 5 SPEC. ISS. | First page: | 802 | Last page: | 817 | Issue Date: | 1-Apr-2006 | Rank: | M22 | ISSN: | 0166-218X | DOI: | 10.1016/j.dam.2005.05.020 | Abstract: | When applying the 2-opt heuristic to the travelling salesman problem, selecting the best improvement at each iteration gives worse results on average than selecting the first improvement, if the initial solution is chosen at random. However, starting with 'greedy' or 'nearest neighbor' constructive heuristics, the best improvement is better and faster on average. Reasons for this behavior are investigated. It appears to be better to use exchanges introducing into the solution a very small edge and fairly large one, which can easily be removed later, than two small ones which are much harder to remove. |
Keywords: | Heuristic | Metaheuristic | Travelling salesman | Variable neighborhood search | Publisher: | Elsevier |
Show full item record
SCOPUSTM
Citations
88
checked on Sep 8, 2024
Page view(s)
2
checked on Sep 7, 2024
Google ScholarTM
Check
Altmetric
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.