Exact and approximate solutions of the traveling salesman problem of large size
Numerical methods and programming, Tome 25 (2024) no. 4, pp. 476-482
Voir la notice de l'article provenant de la source Math-Net.Ru
This paper describes a fast heuristic algorithm based on branch-and-bound for the traveling salesman problem with a set approximation ratio, i.e. with a parameter k that guarantees that the solution obtained by the algorithm is at most 1/k times worse than the optimal solution. The algorithm is designed for shared-memory systems.
Keywords:
traveling salesman problem, exact algorithm, parallel algorithm, branch-and-bound.
Mots-clés : heuristic algorithm
Mots-clés : heuristic algorithm
@article{VMP_2024_25_4_a7,
author = {V. V. Burkhovetskiy and B. Ya. Steinberg},
title = {Exact and approximate solutions of the traveling salesman problem of large size},
journal = {Numerical methods and programming},
pages = {476--482},
publisher = {mathdoc},
volume = {25},
number = {4},
year = {2024},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMP_2024_25_4_a7/}
}
TY - JOUR AU - V. V. Burkhovetskiy AU - B. Ya. Steinberg TI - Exact and approximate solutions of the traveling salesman problem of large size JO - Numerical methods and programming PY - 2024 SP - 476 EP - 482 VL - 25 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VMP_2024_25_4_a7/ LA - ru ID - VMP_2024_25_4_a7 ER -
%0 Journal Article %A V. V. Burkhovetskiy %A B. Ya. Steinberg %T Exact and approximate solutions of the traveling salesman problem of large size %J Numerical methods and programming %D 2024 %P 476-482 %V 25 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/VMP_2024_25_4_a7/ %G ru %F VMP_2024_25_4_a7
V. V. Burkhovetskiy; B. Ya. Steinberg. Exact and approximate solutions of the traveling salesman problem of large size. Numerical methods and programming, Tome 25 (2024) no. 4, pp. 476-482. http://geodesic.mathdoc.fr/item/VMP_2024_25_4_a7/