Mots-clés : quasi-polynomial time approximation scheme.
@article{DANMA_2020_493_a14,
author = {M. Yu. Khachay and Yu. Yu. Ogorodnikov},
title = {Efficient approximation of the capacitated vehicle routing problem in a metric space of an arbitrary fixed doubling dimension},
journal = {Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleni\^a},
pages = {74--80},
year = {2020},
volume = {493},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/DANMA_2020_493_a14/}
}
TY - JOUR AU - M. Yu. Khachay AU - Yu. Yu. Ogorodnikov TI - Efficient approximation of the capacitated vehicle routing problem in a metric space of an arbitrary fixed doubling dimension JO - Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ PY - 2020 SP - 74 EP - 80 VL - 493 UR - http://geodesic.mathdoc.fr/item/DANMA_2020_493_a14/ LA - ru ID - DANMA_2020_493_a14 ER -
%0 Journal Article %A M. Yu. Khachay %A Yu. Yu. Ogorodnikov %T Efficient approximation of the capacitated vehicle routing problem in a metric space of an arbitrary fixed doubling dimension %J Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ %D 2020 %P 74-80 %V 493 %U http://geodesic.mathdoc.fr/item/DANMA_2020_493_a14/ %G ru %F DANMA_2020_493_a14
M. Yu. Khachay; Yu. Yu. Ogorodnikov. Efficient approximation of the capacitated vehicle routing problem in a metric space of an arbitrary fixed doubling dimension. Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 493 (2020), pp. 74-80. http://geodesic.mathdoc.fr/item/DANMA_2020_493_a14/
[1] Dantzig G.B., Ramser J.H., Management science, 6:1 (1959), 80–91 | DOI | MR | Zbl
[2] Papadimitriou C., Theoret. Comput. Sci., 4 (1977), 237–244 | DOI | MR | Zbl
[3] Haimovich M., Rinnooy Kan A.H.G., Mathematics of Operations Research, 10:4 (1985), 527–542 | DOI | MR | Zbl
[4] Asano T., Katoh N., Tamaki H., Tokuyama T., Proc. 29th Annual ACM Symposium on Theory of Computing, STOC '97, 1997, 275–283
[5] Khachai M., Ogorodnikov Y., Trudy Instituta Matematiki i Mekhaniki UrO RAN, 25, no. 4, 2019, 235–248 | DOI | MR
[6] Adamaszek A., Czumaj A., Lingas A., Int. J. Foundations of Computer Science, 21:6 (2010), 893–904 | DOI | MR | Zbl
[7] Khachay M., Ogorodnikov Y., Analysis of Images, Social Networks and Texts, 7th Intern. Conf. AIST-2018, LNCS, 11179, 2018, 318–328
[8] Khachai M., Ogorodnikov Y., Proc. of the Steklov Institute of Mathematics, 307, suppl. 1 (2019), S51–S63 | DOI | MR | Zbl
[9] Khachay M. , Ogorodnikov Y., Mathematical Optimization Theory and Operations Research, 18th International conference (MOTOR 2019), Proceedings, LNCS, 11548, 2019, 309–327 | MR | Zbl
[10] Das A., Mathieu C., Algorithmica, 73 (2015), 115–142 | DOI | MR | Zbl
[11] Abraham I., Bartal Y., Neiman O., Advances in Mathematics, 228:6 (2011), 3026–3126 | DOI | MR | Zbl
[12] Talwar K., Proceedings of the Thirty-Sixth Annual ACM Symposium on Theory of Computing, STOC'04, 2004, 281–290 | DOI | Zbl
[13] Bartal Y., Gottlieb L.A., Krauthgamer R., SIAM J. on Computing, 45 (2016), 1563–1581 | DOI | MR | Zbl