Polynomial time approximation scheme for single-depot euclidean capacitated vehicle routing problem / Khachay M., Zaytseva H. // Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). - 2015. - V. 9486, l. . - P. 178-190.

ISSN:
03029743
Type:
Conference Paper
Abstract:
We consider the classic setting of Capacitated Vehicle Routing Problem (CVRP): single product, single depot, demands of all customers are identical. It is known that this problem remains strongly NP-hard even being formulated in Euclidean spaces of fixed dimension. Although the problem is intractable, it can be approximated well in such a special case. For instance, in the Euclidean plane, the problem (and it’s several modifications) have polynomial time approximation schemes (PTAS). We propose polynomial time approximation scheme for the case of ℝ3. © Springer International Publishing Switzerland 2015.
Author keywords:
Capacitated vehicle routing problem; Iterated tour partition; Polynomial time approximation scheme
Index keywords:
Approximation theory; Combinatorial optimization; Geometry; Network routing; Optimization; Polynomials; Program processors; Routing algorithms; Vehicles; Capacitated vehicle routing problem; Euclidean
DOI:
10.1007/978-3-319-26626-8_14
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https://www.scopus.com/inward/record.uri?eid=2-s2.0-84951941912&doi=10.1007%2f978-3-319-26626-8_14&partnerID=40&md5=72f45fe6ae515c1b925ea4980b1566e0
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Link https://www.scopus.com/inward/record.uri?eid=2-s2.0-84951941912&doi=10.1007%2f978-3-319-26626-8_14&partnerID=40&md5=72f45fe6ae515c1b925ea4980b1566e0
Affiliations Krasovsky Institute of Mathematics and Mechanics, Ekaterinburg, Russian Federation; Ural Federal University, Ekaterinburg, Russian Federation
Author Keywords Capacitated vehicle routing problem; Iterated tour partition; Polynomial time approximation scheme
Funding Details 13-01-00210, RFBR, Russian Foundation for Basic Research; 13-07-00181, RFBR, Russian Foundation for Basic Research
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Correspondence Address Khachay, M.; Krasovsky Institute of Mathematics and MechanicsRussian Federation; email: mkhachay@imm.uran.ru
Editors Kim D.Wu W.Du D.-Z.Lu Z.Li W.
Publisher Springer Verlag
Conference name 9th International Conference on Combinatorial Optimization and Applications, COCOA 2015
Conference date 18 December 2015 through 20 December 2015
Conference code 158749
ISBN 9783319266251
Language of Original Document English
Abbreviated Source Title Lect. Notes Comput. Sci.
Source Scopus