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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Autores principales: Jonckheere, M., Shneer, S., Casale G., Golubchik L., Zwart B.
Formato: CONF
Materias:
Optimization
Allocation function
Bandwidth-sharing networks
Optimization problems
Utility functions
Bandwidth
Acceso en línea: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 todo:paper_01635999_v43_n2_p24_Jonckheere
record_format dspace
spelling todo:paper_01635999_v43_n2_p24_Jonckheere2023-10-03T15:02:19Z Gradient bandwidth allocations Jonckheere, M. Shneer, S. Casale G. Golubchik L. Zwart B. 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. CONF info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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, M.
Shneer, S.
Casale G.
Golubchik L.
Zwart B.
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.
format CONF
author Jonckheere, M.
Shneer, S.
Casale G.
Golubchik L.
Zwart B.
author_facet Jonckheere, M.
Shneer, S.
Casale G.
Golubchik L.
Zwart B.
author_sort Jonckheere, M.
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
url http://hdl.handle.net/20.500.12110/paper_01635999_v43_n2_p24_Jonckheere
work_keys_str_mv AT jonckheerem gradientbandwidthallocations
AT shneers gradientbandwidthallocations
AT casaleg gradientbandwidthallocations
AT golubchikl gradientbandwidthallocations
AT zwartb gradientbandwidthallocations
_version_ 1782028522411261952

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