An approximation algorithm for uniform capacitated k-median problem with 1 + ϵcapacity violation

Jaroslaw Byrka, Bartosz Rybicki, Sumedha Uniyal

Tutkimustuotos: Artikkeli kirjassa/konferenssijulkaisussaConference contributionScientificvertaisarvioitu

15 Sitaatiot (Scopus)

Abstrakti

We study the Capacitated k-Median problem, for which all the known constant factor approximation algorithms violate either the number of facilities or the capacities. While the standard LP-relaxation can only be used for algorithms violating one of the two by a factor of at least two, Li [10,11] gave algorithms violating the number of facilities by a factor of 1 + ϵ exploring properties of extended relaxations. In this paper we develop a constant factor approximation algorithm for hard Uniform Capacitated k-Median violating only the capacities by a factor of 1 + ϵ. The algorithm is based on a configuration LP. Unlike in the algorithms violating the number of facilities, we cannot simply open extra few facilities at selected locations. Instead, our algorithm decides about the facility openings in a carefully designed dependent rounding process.
AlkuperäiskieliEnglanti
OtsikkoInteger Programming and Combinatorial Optimization - 18th International Conference, IPCO 2016, Proceedings
Sivut262-274
Sivumäärä13
DOI - pysyväislinkit
TilaJulkaistu - 2016
OKM-julkaisutyyppiA4 Artikkeli konferenssijulkaisuussa
TapahtumaInternational Conference on Integer Programming and Combinatorial Optimization - Liege, Belgia
Kesto: 1 kesäkuuta 20163 kesäkuuta 2016
Konferenssinumero: 18

Conference

ConferenceInternational Conference on Integer Programming and Combinatorial Optimization
LyhennettäIPCO
MaaBelgia
KaupunkiLiege
Ajanjakso01/06/201603/06/2016

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