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[1]
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R. Bertin, S. Hunold, A. Legrand, and C. Touati.
Fair scheduling of bag-of-tasks applications using distributed
lagrangian optimization.
J. Parallel Distrib. Comput., 74(1):1914--1929, 2014.
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[2]
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H. Kameda, E. Altman, C. Touati, and A. Legrand.
Nash equilibrium based fairness.
Math. Meth. of OR, 76(1):43--65, 2012.
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[3]
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P. Dube, C. Touati, and L. Wynter.
Capacity planning, quality-of-service and price wars.
ACM Sigmetrics Performance Evaluation Review, 35(3):31--33,
Dec. 2007.
Special issue: Performance 2007 posters.
[ bib ]
Keywords: pricing, Stackelberg equilibrium
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[4]
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C. Touati, E. Altman, and J. Galtier.
Generalized Nash bargaining solution for bandwidth allocation.
Computer Networks, 50(17):3242--3263, Dec. 2006.
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For over a decade, the Nash Bargaining Solution (NBS)
concept from cooperative game theory has been used in
networks to share resources fairly. Due to its many
appealing properties, it has recently been used for
assigning bandwidth in a general topology network between
applications that have linear utility functions. In this
paper, we use this concept for allocating the bandwidth
between applications with general concave utilities. Our
framework includes in fact several other fairness criteria,
such as the max-min criteria. We study the impact of
concavity on the allocation and present computational
methods for obtaining fair allocations in a general
topology, based on a dual Lagrangian approach and on
Semi-Definite Programming.
Keywords: Nash Bargaining Solution, bandwidth allocation, fairness
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[5]
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A. Inoie, H. Kameda, and C. Touati.
A paradox in optimal flow control of M/M/n queues.
Computers & Operation Research, 33(2):356--368, 2006.
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.pdf ]
Keywords: queuing theory, Braess paradox, flow control
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[6]
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C. Touati, E. Altman, and J. Galtier.
Semi-definite programming approach for bandwidth allocation and
routing in networks.
Game Theory and Applications, 9:169--179, Dec. 2003.
Nova publisher.
[ bib |
http ]
Keywords: Semi-Definite Programming, bandwidth allocation, routing, fairness
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