Please use this identifier to cite or link to this item: http://doi.org/10.25358/openscience-2115
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dc.contributor.authorBode, Claudia-
dc.contributor.authorIrnich, Stefan-
dc.date.accessioned2011-12-15T10:03:58Z-
dc.date.available2011-12-15T11:03:58Z-
dc.date.issued2011-
dc.identifier.urihttps://openscience.ub.uni-mainz.de/handle/20.500.12030/2117-
dc.description.abstractThis paper presents the first full-fledged branch-and-price (bap) algorithm for the capacitated arc-routing problem (CARP). Prior exact solution techniques either rely on cutting planes or the transformation of the CARP into a node-routing problem. The drawbacks are either models with inherent symmetry, dense underlying networks, or a formulation where edge flows in a potential solution do not allow the reconstruction of unique CARP tours. The proposed algorithm circumvents all these drawbacks by taking the beneficial ingredients from existing CARP methods and combining them in a new way. The first step is the solution of the one-index formulation of the CARP in order to produce strong cuts and an excellent lower bound. It is known that this bound is typically stronger than relaxations of a pure set-partitioning CARP model.\r\nSuch a set-partitioning master program results from a Dantzig-Wolfe decomposition. In the second phase, the master program is initialized with the strong cuts, CARP tours are iteratively generated by a pricing procedure, and branching is required to produce integer solutions. This is a cut-first bap-second algorithm and its main function is, in fact, the splitting of edge flows into unique CARP tours.en_GB
dc.language.isoeng-
dc.rightsInCopyrightde_DE
dc.rights.urihttps://rightsstatements.org/vocab/InC/1.0/-
dc.subject.ddc330 Wirtschaftde_DE
dc.subject.ddc330 Economicsen_GB
dc.titleCut-first branch-and-price-second for the capacitated arc-routing problemen_GB
dc.typeZeitschriftenaufsatzde_DE
dc.identifier.urnurn:nbn:de:hebis:77-29407-
dc.identifier.doihttp://doi.org/10.25358/openscience-2115-
jgu.type.dinitypearticle-
jgu.type.versionAccepted versionen_GB
jgu.type.resourceText-
jgu.organisation.departmentFB 03 Rechts- und Wirtschaftswissenschaften-
jgu.organisation.number2300-
jgu.organisation.nameJohannes Gutenberg-Universität Mainz-
jgu.rights.accessrightsopenAccess-
jgu.journal.titleOperations research-
jgu.journal.volume60-
jgu.journal.issue5-
jgu.pages.start1167-
jgu.pages.end1182-
jgu.publisher.year2012-
jgu.publisher.nameINFORMS-
jgu.publisher.placeLinthicum, Md.-
jgu.publisher.urihttps://doi.org/10.1287/opre.1120.1079-
jgu.publisher.issn1526-5463-
jgu.organisation.placeMainz-
jgu.subject.ddccode330-
opus.date.accessioned2011-12-15T10:03:58Z-
opus.date.modified2011-12-15T10:06:08Z-
opus.date.available2011-12-15T11:03:58-
opus.subject.othercapacitated arc-routing problem, column generation, branch-and-price, dual-optimal inequalitiesen_GB
opus.organisation.stringFB 03: Rechts- und Wirtschaftswissenschaften: FB 03: Rechts- und Wirtschaftswissenschaftende_DE
opus.identifier.opusid2940-
opus.institute.number0300-
opus.metadataonlyfalse-
jgu.publisher.doi10.1287/opre.1120.1079
jgu.organisation.rorhttps://ror.org/023b0x485
Appears in collections:JGU-Publikationen

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