Ιδρυματικό Αποθετήριο
Πολυτεχνείο Κρήτης
Πολυτεχνείο Κρήτης
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| URI | http://purl.tuc.gr/dl/dias/FE84BDB6-E53A-486F-A8C7-A4A3CDB1B6AF | - |
| Αναγνωριστικό | https://doi.org/10.1007/s10878-007-9104-2 | - |
| Γλώσσα | en | - |
| Μέγεθος | 23 pages | en |
| Τίτλος | Multiple phase neighborhood Search—GRASP based on Lagrangean relaxation, random backtracking Lin–Kernighan and path relinking for the TSP | en |
| Δημιουργός | Marinaki Magdalini | en |
| Δημιουργός | Μαρινακη Μαγδαληνη | el |
| Δημιουργός | Athanasios Migdalas | en |
| Δημιουργός | Panos Pardalos | en |
| Εκδότης | Springer Verlag | en |
| Περίληψη | In this paper, a new modified version of Greedy Randomized Adaptive Search Procedure (GRASP), called Multiple Phase Neighborhood Search—GRASP (MPNS-GRASP), is proposed for the solution of the Traveling Salesman Problem. In this method, some procedures have been included to the classical GRASP algorithm in order to improve its performance and to cope with the major disadvantage of GRASP which is that it does not have a stopping criterion that will prevent the algorithm from spending time in iterations that give minor, if any, improvement in the solution. Thus, in MPNS-GRASP a stopping criterion based on Lagrangean Relaxation and Subgradient Optimization is proposed. Also, a different way for expanding the neighborhood search is used based on a new strategy, the Circle Restricted Local Search Moves strategy. A new variant of the Lin-Kernighan algorithm, called Random Backtracking Lin-Kernighan that helps the algorithm to diversify the search in non-promising regions of the search space is used in the Expanding Neighborhood Search phase of the algorithm. Finally, a Path Relinking Strategy is used in order to explore trajectories between elite solutions. The proposed algorithm is tested on numerous benchmark problems from TSPLIB with very satisfactory results. | en |
| Τύπος | Peer-Reviewed Journal Publication | en |
| Τύπος | Δημοσίευση σε Περιοδικό με Κριτές | el |
| Άδεια Χρήσης | http://creativecommons.org/licenses/by/4.0/ | en |
| Ημερομηνία | 2015-11-05 | - |
| Ημερομηνία Δημοσίευσης | 2009 | - |
| Θεματική Κατηγορία | Lagrangean relaxation and subgradient optimization | en |
| Βιβλιογραφική Αναφορά | Y. Marinakis, A. Migdalas , P.M. Pardalos,"Multiple phase neighborhood search GRASP based on lagrangean relaxation, random backtracking lin-kernighan and path relinking for the traveling salesman problem, Journal of Comb. Optimization,vol.17 ,no.2 ,pp. 134-156,Feb. 2009.doi:10.1007/s10878-007-9104-2 | en |
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