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dc.contributor.authorBazgan, Cristina
dc.contributor.authorHassin, Refael
dc.contributor.authorMonnot, Jérôme
dc.date.accessioned2011-03-22T14:21:45Z
dc.date.available2011-03-22T14:21:45Z
dc.date.issued2003
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/5793
dc.language.isoenen
dc.subjectapproximation algorithm
dc.subjectdifferential ratio
dc.subjectVRP
dc.subjectTSP
dc.subject.ddc003en
dc.titleDifferential approximation for some routing problems
dc.typeCommunication / Conférence
dc.description.abstractenWe study vehicle routing problems with constraints on the distance traveled by each vehicle or on the number of vehicles. The objective is to minimize the total distance traveled by vehicles. We design constant differential approximation algorithms for some of these problems. In particular we obtain differential bounds: $ \frac{1} {2} $21 for Metric 3VRP, $ \frac{3} {5} $53 for Metric 4VRP, $ \frac{2} {3} $32 for Metric kVRP with k ≥ 5, $ \frac{1} {2} $21 for the nonmetric case for any k ≥ 3, and 1/3 for Constrained VRP. We prove also that Min-Sum EkTSP is $ \frac{2} {3} $32 differential approximable and has no differential approximation scheme, unless P = NP.
dc.identifier.citationpages277-288
dc.relation.ispartoftitleAlgorithms and Complexity 5th Italian Conference, CIAC 2003, Rome, Italy, May 28-30, 2003, Proceedings
dc.relation.ispartofeditorSilvestri, Riccardo
dc.relation.ispartofpublnameSpringer
dc.relation.ispartofpublcityBerlin Heidelberg
dc.relation.ispartofdate2003
dc.relation.ispartofurl10.1007/3-540-44849-7
dc.description.sponsorshipprivateouien
dc.subject.ddclabelRecherche opérationnelleen
dc.relation.ispartofisbn978-3-540-40176-6
dc.relation.confcountryITALY
dc.identifier.doi10.1007/3-540-44849-7_31
dc.description.ssrncandidatenon
dc.description.halcandidateoui
dc.description.readershiprecherche
dc.description.audienceInternational
dc.date.updated2017-01-05T15:14:11Z


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