PTAS for the euclidean capacitated vehicle routing problem in Rd / Khachay M., Dubinin R. // Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). - 2016. - V. 9869 LNCS, l. . - P. 193-205.

ISSN:
03029743
Type:
Conference Paper
Abstract:
Capacitated Vehicle Routing Problem (CVRP) is the wellknown combinatorial optimization problem remaining NP-hard even in the Euclidean spaces of fixed dimension. Thirty years ago, in their celebrated paper, M. Haimovich and A. Rinnoy Kan proposed the first PTAS for the Planar Single Depot CVRP based on their Iterated Tour Partition heuristic. For decades, this result was extended by many authors to numerous useful modifications of the problem taking into account multiple depots, pick up and delivery options, time window restrictions, etc. But, to the best of our knowledge, almost none of these results go beyond the Euclidean plane. In this paper, we try to bridge this gap and propose an EPTAS for the Euclidean CVRP for any fixed dimension. © Springer International Publishing Switzerland 2016.
Author keywords:
EPTAS; Euclidean space; Vehicle routing
Index keywords:
Combinatorial optimization; Geometry; Operations research; Vehicle routing; Vehicles; Capacitated vehicle routing problem; Combinatorial optimization problems; EPTAS; Euclidean planes; Euclidean space
DOI:
10.1007/978-3-319-44914-2_16
Смотреть в Scopus:
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Affiliations Krasovskii Institute of Mathematics and Mechanics, Ekaterinburg, Russian Federation; Ural Federal University, Ekaterinburg, Russian Federation; Omsk State Technical University, Omsk, Russian Federation
Author Keywords EPTAS; Euclidean space; Vehicle routing
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Correspondence Address Khachay, M.; Krasovskii Institute of Mathematics and MechanicsRussian Federation; email: mkhachay@imm.uran.ru
Editors Khachay M.Pardalos P.Kochetov Y.Beresnev V.Nurminski E.
Sponsors Far Eastern Federal University, Vladivostok;Higher School of Economics, Nizhny Novgorod;Novosibirsk State University;Russian Foundation for Basic Research
Publisher Springer Verlag
Conference name 9th International Conference on Discrete Optimization and Operations Research, DOOR 2016
Conference date 19 September 2016 through 23 September 2016
Conference code 181889
ISBN 9783319449135
Language of Original Document English
Abbreviated Source Title Lect. Notes Comput. Sci.
Source Scopus