Standard

Approximation algorithms for mixed, windy, and capacitated arc routing problems. / Van Bevern, René; Komusiewicz, Christian; Sorge, Manuel.

15th Workshop on Algorithmic Approaches for Transportation Modelling, Optimization, and Systems, ATMOS 2015. ed. / Marie Schmidt; Giuseppe F. Italiano. Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing, 2015. p. 130-143 (OpenAccess Series in Informatics; Vol. 48).

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

Harvard

Van Bevern, R, Komusiewicz, C & Sorge, M 2015, Approximation algorithms for mixed, windy, and capacitated arc routing problems. in M Schmidt & GF Italiano (eds), 15th Workshop on Algorithmic Approaches for Transportation Modelling, Optimization, and Systems, ATMOS 2015. OpenAccess Series in Informatics, vol. 48, Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing, pp. 130-143, 15th Workshop on Algorithmic Approaches for Transportation Modelling, Optimization, and Systems, ATMOS 2015, Patras, Greece, 17.09.2015. https://doi.org/10.4230/OASIcs.ATMOS.2015.130

APA

Van Bevern, R., Komusiewicz, C., & Sorge, M. (2015). Approximation algorithms for mixed, windy, and capacitated arc routing problems. In M. Schmidt, & G. F. Italiano (Eds.), 15th Workshop on Algorithmic Approaches for Transportation Modelling, Optimization, and Systems, ATMOS 2015 (pp. 130-143). (OpenAccess Series in Informatics; Vol. 48). Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing. https://doi.org/10.4230/OASIcs.ATMOS.2015.130

Vancouver

Van Bevern R, Komusiewicz C, Sorge M. Approximation algorithms for mixed, windy, and capacitated arc routing problems. In Schmidt M, Italiano GF, editors, 15th Workshop on Algorithmic Approaches for Transportation Modelling, Optimization, and Systems, ATMOS 2015. Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing. 2015. p. 130-143. (OpenAccess Series in Informatics). doi: 10.4230/OASIcs.ATMOS.2015.130

Author

Van Bevern, René ; Komusiewicz, Christian ; Sorge, Manuel. / Approximation algorithms for mixed, windy, and capacitated arc routing problems. 15th Workshop on Algorithmic Approaches for Transportation Modelling, Optimization, and Systems, ATMOS 2015. editor / Marie Schmidt ; Giuseppe F. Italiano. Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing, 2015. pp. 130-143 (OpenAccess Series in Informatics).

BibTeX

@inproceedings{a0a1c542ad59447f80b7200bebd463c8,
title = "Approximation algorithms for mixed, windy, and capacitated arc routing problems",
abstract = "We show that any α(n)-approximation algorithm for the n-vertex metric asymmetric Traveling Salesperson problem yields O(α(C))-approximation algorithms for various mixed, windy, and capacitated arc routing problems. Herein, C is the number of weakly-connected components in the subgraph induced by the positive-demand arcs, a number that can be expected to be small in applications. In conjunction with known results, we derive constant-factor approximations if C ε O(log n) and O(log C/log log C) -approximations in general.",
keywords = "Chinese Postman, Combinatorial optimization, NPhard problem, Parameterized algorithm, Rural Postman, Transportation, Vehicle routing",
author = "{Van Bevern}, Ren{\'e} and Christian Komusiewicz and Manuel Sorge",
year = "2015",
month = sep,
day = "1",
doi = "10.4230/OASIcs.ATMOS.2015.130",
language = "English",
series = "OpenAccess Series in Informatics",
publisher = "Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing",
pages = "130--143",
editor = "Marie Schmidt and Italiano, {Giuseppe F.}",
booktitle = "15th Workshop on Algorithmic Approaches for Transportation Modelling, Optimization, and Systems, ATMOS 2015",
address = "Germany",
note = "15th Workshop on Algorithmic Approaches for Transportation Modelling, Optimization, and Systems, ATMOS 2015 ; Conference date: 17-09-2015",

}

RIS

TY - GEN

T1 - Approximation algorithms for mixed, windy, and capacitated arc routing problems

AU - Van Bevern, René

AU - Komusiewicz, Christian

AU - Sorge, Manuel

PY - 2015/9/1

Y1 - 2015/9/1

N2 - We show that any α(n)-approximation algorithm for the n-vertex metric asymmetric Traveling Salesperson problem yields O(α(C))-approximation algorithms for various mixed, windy, and capacitated arc routing problems. Herein, C is the number of weakly-connected components in the subgraph induced by the positive-demand arcs, a number that can be expected to be small in applications. In conjunction with known results, we derive constant-factor approximations if C ε O(log n) and O(log C/log log C) -approximations in general.

AB - We show that any α(n)-approximation algorithm for the n-vertex metric asymmetric Traveling Salesperson problem yields O(α(C))-approximation algorithms for various mixed, windy, and capacitated arc routing problems. Herein, C is the number of weakly-connected components in the subgraph induced by the positive-demand arcs, a number that can be expected to be small in applications. In conjunction with known results, we derive constant-factor approximations if C ε O(log n) and O(log C/log log C) -approximations in general.

KW - Chinese Postman

KW - Combinatorial optimization

KW - NPhard problem

KW - Parameterized algorithm

KW - Rural Postman

KW - Transportation

KW - Vehicle routing

UR - http://www.scopus.com/inward/record.url?scp=84946089718&partnerID=8YFLogxK

UR - https://elibrary.ru/item.asp?id=24968474

U2 - 10.4230/OASIcs.ATMOS.2015.130

DO - 10.4230/OASIcs.ATMOS.2015.130

M3 - Conference contribution

AN - SCOPUS:84946089718

T3 - OpenAccess Series in Informatics

SP - 130

EP - 143

BT - 15th Workshop on Algorithmic Approaches for Transportation Modelling, Optimization, and Systems, ATMOS 2015

A2 - Schmidt, Marie

A2 - Italiano, Giuseppe F.

PB - Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing

T2 - 15th Workshop on Algorithmic Approaches for Transportation Modelling, Optimization, and Systems, ATMOS 2015

Y2 - 17 September 2015

ER -

ID: 22339791