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dc.contributorMuñoz López, Francisco Javier
dc.contributor.authorBurjons Pujol, Elisabet
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada IV
dc.date.accessioned2015-09-28T13:33:17Z
dc.date.available2015-09-28T13:33:17Z
dc.date.issued2015-07
dc.identifier.urihttp://hdl.handle.net/2117/77123
dc.description.abstractOnline problems are those in which the instance is not given as a whole but by parts named requests. They arrise naturaly in computer science. Several examples are given such as ski rental problem, the server problem and the coloring problem. The performance of the online algorithms is analized in terms of the ratio between the cost of the algorithm and the cost of the optimal offline. This ratio is called the competitive ratio. Several models of online algorithms are described. They are deterministic algorithms, randomized algorithms and algorithms with advice. We present several upper and lower bounds for the competitive ratio in a particular case of the k-server problem. We review the known bounds for the coloring problem in the diferent models. We present a new model, the randomized adversary. For this model we present an upper bound and a restricted lower bound. Finally we conjecture an unrestricted lower bound and we present several approaches to the result.
dc.language.isoeng
dc.publisherUniversitat Politècnica de Catalunya
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística
dc.subject.classificationPENDENT
dc.subject.lcshComputer science--Mathematics
dc.subject.otherOnline algorithms
dc.subject.otherGraph coloring
dc.subject.otherRandomized algorithms
dc.titleOnline coloring problem with a randomized adversary and infinite advice
dc.typeMaster thesis
dc.subject.lemacInformàtica--Matemàtica
dc.subject.amsClassificació AMS::68 Computer science::68R Discrete mathematics in relation to computer science
dc.identifier.slugFME-1170
dc.rights.accessOpen Access
dc.date.updated2015-07-08T05:37:36Z
dc.audience.educationlevelMàster
dc.audience.mediatorUniversitat Politècnica de Catalunya. Facultat de Matemàtiques i Estadística
dc.audience.degreeMÀSTER UNIVERSITARI EN MATEMÀTICA AVANÇADA I ENGINYERIA MATEMÀTICA (Pla 2010)


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