Simulative Analysis of a Multi-cell Admission
Control Algorithm in WCDMA Networks
Gábor Fodor
Ericsson Research
SE-164 80 Stockholm, Sweden
Gabor.Fodor@ericsson.com
Gustavo Azzolin
KTH, Royal Institute of Technology
SE-164 40 Stockholm, Sweden
gadcp@kth.se
Abstract— It has for long been recognized that in multi-cell
wide-band code division multiple access (WCDMA) networks the
admission of a new session into the system can have undesirable
impacts on the neighboring cells. Although admission control
algorithms that take into account such multi-cell impacts have
been studied in the past, little attention has been paid to multi-cell
admission and rate control algorithms when traffic is elastic. In
this work, we propose a model for multi-cell WCDMA networks
to study the impact of admission and rate control algorithms
on key performance measures such as the class-wise blocking
and dropping probabilities, block error rates and the overall
throughput. By means of simulation we compare the performance
of multi-cell algorithms with that of a single cell algorithm.
For voice traffic, we find that multi-cell algorithms improve the
session drop and block error probabilities in both of the examined
heterogenous (termed "Hotspot" and "Hotround") scenarios.
When traffic is elastic, the multicell algorithms perform better
in the examined homogeneous case.
I. I NTRODUCTION
The teletraffic behavior and the issue of admission control
in code division multiple access (CDMA) networks have
been the topic of research ever since CDMA started to
gain popularity for military and commercial applications, see
for instance Chapter 6 of [8]. The paper by Evans and
Everitt used an M/G/∞ queue model to assess the uplink
capacity of CDMA cellular networks and also presented a
technique to calculate the outage probability [4]. It has been
emphasized by several contributions that multi-cell admission
control improves the resource utilization and reduces outages
(session drops), see for instance [7]. These classical papers
have focused on "rigid" traffic in the sense that elastic or best
effort traffic whose bit rate can dynamically change was not
part of the models. Subsequently, the seminal paper by Altman
proposed a Shannon like capacity measure called the "best
effort capacity" that explicitly takes into account the behavior
of elastic sessions [1].
The importance of taking into account the relation between
the number of admitted sessions and session drops (and
their impacts on the Erlang capacity) in cellular networks
in general and in CDMA in particular has been emphasized
by several authors, see for instance [4] and more recently
[3]. Session drops are primarily caused by outages, when
the desired signal-to-noise ratio for a session stays under
a predefined threshold during such a long time that the
session gets interrupted. However, sessions can be dropped
by a load control algorithm (typically located in the radio
network controller in WCDMA) to preserve system stability.
Session interruptions are perceived negatively by end users
- more negatively than blocking a session - and therefore
their probability should be minimized by suitable resource
management (including admission control) techniques.
The purpose of this paper is to develop a model that can
be used to analyze the usefulness of multi-cell admission
control (in terms of its impact on the blocking and dropping
probabilities and also on the block error rate, BLER, as
discussed in the paper) when traffic is elastic. The contribution
of this work is the development of a model that can be used
to analyze the impact of multi-cell admission control when
some of the traffic classes tolerate a certain slowdown at the
expense of increasing the holding time of the sessions. To the
best of our knowledge, the modeling of elastic traffic and the
analysis of the associated admission control algorithm in this
type of dynamic multi-cell CDMA system is novel.
We proceed along the following line. First, in Section II,
we establish a basic relationship between the load factor (and
thereby the noise rise) increase and the session-wise required
peak and minimum bit rates when an elastic session is admitted
into the system. Next, in Section III, we develop the so called
stateful multicell model that explicitly takes into account the
states (the number of in-progress sessions and their bit-rates)
of all involved cells. Although the stateful model is useful, it
is not practical in real systems due to computational aspects.
Therefore, in Section IV we develop a feasible admission and
rate control algorithm that can be used in real systems. This
algorithm is analyzed by means of simulations in three seven-
cell scenarios (termed homogeneous, hotspot and hotround) in
Section V. We draw conclusions and summarize our findings
in Section VI.
II. MODELING ELASTIC TRAFFIC IN CDMA (THE SINGLE
CELL CASE)
A. Basic CDMA Equations
Consider a single CDMA cell at which sessions belonging
to one of K service classes arrive according to a Poisson
arrival process of intensity λ
k
(k =1,...,K). Each class
is characterized by a peak bit-rate requirement
ˆ
R
k
and an
exponentially distributed nominal holding time with parameter
μ
k
. When sending with the peak rate for a session, the required
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This full text paper was peer reviewed at the direction of IEEE Communications Society subject matter experts for publication in the ICC 2007 proceedings.