Gradient bandwidth allocations

We look at bandwidth-sharing networks where bandwidth allocations are not known to maximize a priori any utility function. Instead, we only require the allocation functions to be 0-homogeneous and concave, which are desirable properties in many situations. We show that a certain gradient condition i...

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Autor principal: Jonckheere, Matthieu Thimothy Samson
Publicado: 2015
Materias:
Optimization
Allocation function
Bandwidth-sharing networks
Optimization problems
Utility functions
Bandwidth
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01635999_v43_n2_p24_Jonckheere
http://hdl.handle.net/20.500.12110/paper_01635999_v43_n2_p24_Jonckheere
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_01635999_v43_n2_p24_Jonckheere
record_format dspace
spelling paper:paper_01635999_v43_n2_p24_Jonckheere2023-06-08T15:14:22Z Gradient bandwidth allocations Jonckheere, Matthieu Thimothy Samson Optimization Allocation function Bandwidth-sharing networks Optimization problems Utility functions Bandwidth We look at bandwidth-sharing networks where bandwidth allocations are not known to maximize a priori any utility function. Instead, we only require the allocation functions to be 0-homogeneous and concave, which are desirable properties in many situations. We show that a certain gradient condition is necessary and sufficient for such allocations to solve an optimization problem leading to important corollaries such as deriving the stability set of these 0-homogeneous concave allocation. Fil:Jonckheere, M. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2015 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01635999_v43_n2_p24_Jonckheere http://hdl.handle.net/20.500.12110/paper_01635999_v43_n2_p24_Jonckheere
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Optimization
Allocation function
Bandwidth-sharing networks
Optimization problems
Utility functions
Bandwidth
spellingShingle Optimization
Allocation function
Bandwidth-sharing networks
Optimization problems
Utility functions
Bandwidth
Jonckheere, Matthieu Thimothy Samson
Gradient bandwidth allocations
topic_facet Optimization
Allocation function
Bandwidth-sharing networks
Optimization problems
Utility functions
Bandwidth
description We look at bandwidth-sharing networks where bandwidth allocations are not known to maximize a priori any utility function. Instead, we only require the allocation functions to be 0-homogeneous and concave, which are desirable properties in many situations. We show that a certain gradient condition is necessary and sufficient for such allocations to solve an optimization problem leading to important corollaries such as deriving the stability set of these 0-homogeneous concave allocation.
author Jonckheere, Matthieu Thimothy Samson
author_facet Jonckheere, Matthieu Thimothy Samson
author_sort Jonckheere, Matthieu Thimothy Samson
title Gradient bandwidth allocations
title_short Gradient bandwidth allocations
title_full Gradient bandwidth allocations
title_fullStr Gradient bandwidth allocations
title_full_unstemmed Gradient bandwidth allocations
title_sort gradient bandwidth allocations
publishDate 2015
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01635999_v43_n2_p24_Jonckheere
http://hdl.handle.net/20.500.12110/paper_01635999_v43_n2_p24_Jonckheere
work_keys_str_mv AT jonckheerematthieuthimothysamson gradientbandwidthallocations
_version_ 1768546579094962176

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