Proportional fairness and its relationship with multi-class queueing networks

We consider multi-class single-server queueing networks that have a product form stationary distribution. A new limit result proves a sequence of such networks converges weakly to a stochastic flow level model. The stochastic flow level model found is insensitive. A large deviation principle for the stationary distribution of these multi-class queueing networks is also found. Its rate function has a dual form that coincides with proportional fairness. We then give the first rigorous proof that the stationary throughput of a multi-class single-server queueing network converges to a proportionally fair allocation. This work combines classical queueing networks with more recent work on stochastic flow level models and proportional fairness. One could view these seemingly different models as the same system described at different levels of granularity: a microscopic, queueing level description; a macroscopic, flow level description and a teleological, optimization description.Comment: Published in at http://dx.doi.org/10.1214/09-AAP612 the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org

Performance evaluation of strategies for integration of elastic and stream traffic

This paper deals with the integration of `stream' traffic and `elastic' traffic in one single network, e.g. an ATM-based or an IP-based network. Here stream traffic refers to traffic with a certain bandwidth guarantee, whereas elastic traffic flows can adapt their rates to the link bandwidth left over by the stream flows. First, models are developed that describe different strategies for sharing link capacities between the stream and elastic flows. Then we give mathematical methods for obtaining performance measures, in particular call blocking probabilities and file transfer delays. Finally, these methods are used for assessing and comparing the efficiency gains achieved by the integration strategies

Portrait 1991

https://digitalcommons.buffalostate.edu/portrait/1007/thumbnail.jp

El Segovia Viejo : I Exposición de Arte Antiguo, (1948)

Publicado en: Estudios Segovianos (t. VII, 1955)Copia digital. Valladolid : Junta de Castilla y León. Consejería de Cultura y Turismo, 2009-201

La streptothricose cutanée. III

cf. fichier PDF de l'article

THE BIG BEN BANJO BAND ; THE CRAZY OTTO RAG / WHITE - WOLFSON - TRENT - LAWRENCE. HEY, MR BANJO / MORGAN - MALKIN ; With THE CORONETS. BIG BEN'S BANJO BAND / ROBERTS - HART. I'M IN FAVOUR OF FRIENDSHIP / HILLIARD - MANN ; avec Diana DECKER

Titre uniforme : [Hey, Mr Banjo !]BnF-Partenariats, Collection sonore - BelieveContient une table des matière

FLEURS DE MUSETTE / Claude CHEVALIER et son musette

Titre uniforme : [Roses of Picardy]Titre uniforme : [Fleur de Paris]Titre uniforme : [Bluebell polka]Titre uniforme : [Les roses blanches]Titre uniforme : [La Violetera]Titre uniforme : [Fleur de Paris]Comprend : FLEUR DE PARIS - one-step / E. BOURTAYRE et M. VANDAIR - FLEUR BLEUE : one-step / Ch. TRENET - FLEUR DES CHAMPS : valse / F. LOPEZ et M. VANDAIR - LES ROSES BLANCHES : valse / L. RAITER et L. POTHIER - ROSES DE PICARDIE : boléro / H. WOOD et P. D'ARMOR - MIMOSAS : boléro / H. GIRAUD et J. PLANTE - LA VIOLETERA : tango / J. PADILLA - A. WILLEMETZ et SAINT-GRANIER - LES FLEURS SONT DES MOTS D'AMOUR - tango / M. YVAIN et Louis POTERAT - LES BLEUETS D'AZUR : java-valse / G. MAGENTA et J. LARUE - QUAND REFLEURIRONT LES LILAS BLANCS : fox / F. DOELLE et E. MARNAY - LES MARGUERITES : fox / A. GROSMAIRE et A. PERSIANY - LES FLEURS ET L'AMOUR : baion / D. MODUGNO et F. LEMARQUE - LES TROIS ROSES : tango / Ch. TRENET et A. BAUZIL - OEILLETS D'ESPAGNE : paso-doble / J. SENTIS - L. POTHIER et J. MAROTTE - COQUELICOTS POLKA / STANLEY - ROBERTS et DELANOE - FLEUR DE PAPILLON : fox / J. CONSTANTIN et J. DREJACBnF-Partenariats, Collection sonore - BelieveContient une table des matière