Marked point processes (MPP's) play an important role in stochastic modeling. In this talk we
review a class of point processes, called batch Markovian arrival processes (BMAP's), that is …

Traffic measurements from communication networks have shown that many quantities
charecterizing network performance have long-tail probability distributions, ie, with tails that …

This paper gives an overview of the methods and models used for the performance
evaluation of asynchronous transfer mode (ATM)-based broad-band integrated services …

We propose a novel approach, called parallel rollout, to solving (partially observable)
Markov decision processes. Our approach generalizes the rollout algorithm of Bertsekas …

We present a modelling framework and a fitting method for modelling second order self-
similar behaviour with the Markovian arrival process (MAP). The fitting method is based on …

Internet traffic flows have often been characterized as having power-tailed (long-tailed, fat-
tailed, heavy-tailed) packet interarrival times or service requirements. In this work, we focus …

The contributions of this paper are the following: We derive a formula for the IDI (Index of
Dispersion for Intervals) for the Markovian Arrival Process (MAP). We show that two‐state …

This interim report provides an overview of results on source characterization obtained in the
COST 257 Action on” Impacts of New Services on the Architecture and Performance of …

This dissertation has been prepared at the Institute of Mathematical Modelling (IMM) at the
Technical University of Denmark as a partial fullfillment of the requirements for obtaining the …

This paper introduces a model to study the phenomenon of long range dependence. This
model consists of an infinite superposition of independent Markovian ON/OFFsources. A …