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
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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
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Sumario: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.