Michel Mandjes
Flow-level models for multipath routing.
Tue, 10/27/2009 - 16:01 — SomNambulAuthors: Michel Mandjes, Sarah Lilienthal
Subjects: Optimization and Control
AbstractIn this paper we study coordinated multipath routing at the flow-level in
networks with routes of length one. As a first step the static case is
considered, in which the number of flows is fixed. A clustering pattern in the
rate allocation is identified, and we describe a finite algorithm to find this
rate allocation and the clustering explicitly. Then we consider the dynamic
model, in which there are stochastic arrivals and departures; we do so for
models with both streaming and elastic traffic, and where a peak-rate is
imposed on the elastic flows (to be thought of as an access rate).On convergence to stationarity of fractional Brownian storage.
Tue, 09/01/2009 - 12:47 — SomNambulAuthors: Michel Mandjes, Ilkka Norros, Peter Glynn
Subjects: Probability
AbstractWith $M(t):=\sup_{s\in[0,t]}A(s)-s$ denoting the running maximum of a
fractional Brownian motion $A(\cdot)$ with negative drift, this paper studies
the rate of convergence of $\mathbb {P}(M(t)>x)$ to $\mathbb{P}(M>x)$. We
define two metrics that measure the distance between the (complementary)
distribution functions $\mathbb{P}(M(t)>\cdot)$ and $\mathbb{P}(M>\cdot)$.On convergence to stationarity of fractional Brownian storage.
Tue, 09/01/2009 - 12:47 — SomNambulAuthors: Michel Mandjes, Ilkka Norros, Peter Glynn
Subjects: Probability
AbstractWith $M(t):=\sup_{s\in[0,t]}A(s)-s$ denoting the running maximum of a
fractional Brownian motion $A(\cdot)$ with negative drift, this paper studies
the rate of convergence of $\mathbb {P}(M(t)>x)$ to $\mathbb{P}(M>x)$. We
define two metrics that measure the distance between the (complementary)
distribution functions $\mathbb{P}(M(t)>\cdot)$ and $\mathbb{P}(M>\cdot)$.
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