On the Stability of a Bandwidth Packing Algorithm

Abstract : The stability properties of the bandwidth allocation algorithm First Fit are analyzed for some distributions on the sizes of the requests. Fluid limits are used to get the ergodicity results. When there are two possible sizes, the description of the transient behavior involves a finite Markov chain on the exit states of a transient Markov chain on a countable state space. The explicit expression of this exit matrix is given.
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https://hal.inria.fr/inria-00073075
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Submitted on : Wednesday, May 24, 2006 - 11:47:25 AM
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Jean-François Dantzer, Mostafa Haddani, Philippe Robert. On the Stability of a Bandwidth Packing Algorithm. [Research Report] RR-3605, INRIA. 1999. ⟨inria-00073075⟩

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