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to the building (FTTB: Fiber To The Building) or to
the service area (FTSA: Fiber To Service Area).
Rigorous studies made of high quality samples
from data networks, have demonstrated that traffic
processes present the statistical property of self-
similarity, which cannot be obtained from the
traditional models of Poisson (Leland et al, 1994)
(Paxson and Floyd, 1995). The characteristic of
these self-similar processes is that they present a
long-range-dependence (LRD), defined as a slow
decrease in the autocorrelation function, of the form:
where c
r
> 0 and 0.5 < H < 1. The fundamental
parameter that describes LRD property is the Hurst
coefficient, when 0.5 < H < 1, LRD appears and the
process exhibits self-similarity.
Simulation models are increasingly being used in
problem solving and in decision making processes.
The developers of these models and the decision
makers use the information derived from the results
of the models. They would have to know when a
model and its results are correct. This concern is
addressed through model verification and validation
(Sargent, 2000). To simulate systems with great
volumes of differentiated traffic, traditionally
analytical techniques or discrete events methods are
used, depending on the precision of the results and
the simulation run time. To implement the complete
network model, a hybrid simulation technique has
been used (OPNET, 2001), facilitating model
systems that present high volumes of traffic in
relatively short execution times. Using the hybrid
simulation, OPNET has developed a new technique
called “micro-simulation” (OPNET, 2002) that
combines analytical techniques and discrete events
to provide control over the precision of the results
and the execution time in a simulation.
A general survey of traffic models in
telecommunications networks is carried out in
(Adas, 1997). (Klemm et al, 2001) present a
synthetic traffic model based on measured trace
data. Furthermore, they introduce an aggregated
traffic model for UMTS networks that is analytically
tractable. Anagnostou et al, propose a traffic model
for multi-service IP networks taking into account
individual user descriptions (Anagnostou et al,1996).
Our contribution has been to develop a
modelling procedure capable of managing high
volumes of differentiated traffic with short execution
times. This procedure makes possible an accurate
analysis of network and services, including QoS
configuration and SLA accomplishment. We also
develop a model based on the real behaviour of the
users of a cable network, taking into account the
number of subscribers assigned to the return channel
as well as the use that each subscriber makes of the
network. Furthermore, the medium access protocol
has been considered and the responses to users’
requests have been modelled. The aggregated traffic
generation model developed has been integrated in
the TCP/IP protocols architecture to facilitate the
construction of a complete network model. Finally,
the obtained results have been validated using the
real data provided by the network operator.
This paper is organized as follows. In section 2,
we describe the simulation methodology designed
and the real system to be modelled. In section 3 we
perform a model of aggregated traffic generation in
an HFC or a FTSA network, indicating the obtained
results. Sections 4 and 5 present our conclusions and
future work.
2 SIMULATION METHODOLOGY
In order to simulate great networks with high traffic
volumes it is important to define an analysis
methodology. It will also be used as a prior study to
QoS implementation and SLA definition. The
purpose is to analyze the effects produced in the
network and in the applications by different QoS
solutions. The process is reflected in figure1.
2.1 Real System Description
The first step is to define the network to be analyzed.
The Cable Telecommunications Network is able to
support integrated services of TV, voice and data, as
shown in figure 2. The HFC network infrastructure
permits the optical fiber to reach each secondary
node giving service to 250 homes (FTSA).
Figure 2 shows the network topology of the
operator, where each subscriber is connected from
his home or office through a cable-modem.
Nowadays, there are simultaneously implemented IP
access networks and ATM access networks.
Through a fiber network, the requests are sent to the
CMTS (Cable Modem Termination System) or to
the HCX (Headend-Context Switch), where the
communication with the IP router or ATM switches
is established. Routers and ATM switches transfer
the traffic to the optical fiber backbone that links the
different branches of the network, addressing the
traffic depending on the destination of the request.
The traffic can have as a destination the branch
where the subscriber is connected (internal traffic),
another branch owned by the operator network (local
traffic) or the traffic can go to the outside through
the routers (external traffic).
Communication between the subscribers and the
local head-end is bidirectional, the downstream
channel being shared by all the subscribers
∞→
−
∝ k,
2H)(2
k
cr(k)
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