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Decomposition methods for network utility maximization

Kostoulas Georgios

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URIhttp://purl.tuc.gr/dl/dias/ED0AD883-02EC-4DA7-B5FD-F0E167314912-
Identifierhttps://doi.org/10.26233/heallink.tuc.24471-
Languageen-
Extent73 pagesen
TitleDecomposition methods for network utility maximizationen
CreatorKostoulas Georgiosen
CreatorΚωστουλας Γεωργιοςel
Contributor [Thesis Supervisor]Liavas Athanasiosen
Contributor [Thesis Supervisor]Λιαβας Αθανασιοςel
Contributor [Committee Member]Paterakis Michalisen
Contributor [Committee Member]Πατερακης Μιχαληςel
Contributor [Committee Member]Koutsakis Polychronisen
Contributor [Committee Member]Κουτσακης Πολυχρονηςel
PublisherΠολυτεχνείο Κρήτηςel
PublisherTechnical University of Creteen
Academic UnitTechnical University of Crete::School of Electronic and Computer Engineeringen
Academic UnitΠολυτεχνείο Κρήτης::Σχολή Ηλεκτρονικών Μηχανικών και Μηχανικών Υπολογιστώνel
Content SummaryNetwork Utility Maximization (NUM) is the problem of allocating the right amount of resources to the nodes of a network, in order to maximize an overall utility function. There are many optimization tools to solve this problem in a centralized manner. In this thesis, we discuss distributed ways to solve various formulations of NUM problems. We decompose the problems into subproblems using Primal Decomposition, by applying direct resource allocation and then adjust the resources by small steps until equilibrium, and Dual Decomposition by pricing the resource in such manner that each node achieves the optimal utility. Many alternatives can be derived from these two methods, in different NUM formulations, with the use of multilevel decompositions. These decompositions may lead to better understanding of existing networks, reverse engineering of network protocols like TCP, better management of existing networks, and ways to design and operate new networks by layering as optimization. Finally, we experiment with the message passing of these algorithms and try to minimize the data transferred by quantizing the values.en
Type of ItemΔιπλωματική Εργασίαel
Type of ItemDiploma Worken
Licensehttp://creativecommons.org/licenses/by/4.0/en
Date of Item2015-03-23-
Date of Publication2015-
SubjectProject networksen
Subjectnetwork analysis planningen
Subjectproject networksen
SubjectOptimization (Mathematics)en
SubjectOptimization techniquesen
SubjectOptimization theoryen
SubjectSystems optimizationen
Subjectmathematical optimizationen
Subjectoptimization mathematicsen
Subjectoptimization techniquesen
Subjectoptimization theoryen
Subjectsystems optimizationen
Bibliographic CitationGeorgios Kostoulas, "Decomposition methods for network utility maximization", Diploma Work, School of Electronic and Computer Engineering, Technical University of Crete, Chania, Greece, 2015en
Bibliographic CitationΓεώργιος Κωστούλας, "Decomposition methods for network utility maximization", Διπλωματική Εργασία, Σχολή Ηλεκτρονικών Μηχανικών και Μηχανικών Υπολογιστών, Πολυτεχνείο Κρήτης, Χανιά, Ελλάς, 2015el

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