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QoS AND CALL COMPLETION SUCCESS
PROBABILITIES
THROUGH INPUT-OUTPUT RELATIONS
Abstract—In this short report, the validity
in extracting the Probability of Success
Call Completion (PSCC) from a typical I/O
procedure is evaluated. Under the I/O
view the input and transfer functions are
prepared without to abandon the randomness
nature of the phenomenology. Simulation
of the input function is performed
by assuming the existence of up to two
handovers and end user velocity of up to
100 Km/h. The results would indicate that
under certain circumstances the formulation
I/O is valid by a 10% of error respect
to the Meo-Ajmone model [1]. However,
the weakness of the I/O approach would
be in the extraction of numbers from a
large parameter space.
Index Terms—QoS, Stochastic Systems, I/O
schemes, QoE.
I. INTRODUCTION
It is well known that the end user quality of
service (QoS) is a crucial indicator to decide
scenarios for upgrading aspects in communications
engineering. While by one hand the binomial
cost-benefits must be optimized, on the
other hand the corresponding impact on the
end users should be careful assessed without
to degraded the service performance.
Moreover a particular assessment must be paid
on those end users whose mobility would play
a role in degrading the service efficiency. In
addition, management decisions should maintain
a standard and reliability in guaranteeing
an excellent service to these end users whose
usage of their handovers associated must
be unstoppable. In this spirit, the evaluation
of strategies aimed to improve the quality of
CIENCIA, CULTURA Y TECNOLOGÍA - UNIVERSIDAD TECNOLÓGICA DEL PERÚ
service (QoS) is a must. Thus, a special attention
is paid on the Probability of Success
Call Completion (to called herein as PSCC),
a crucial variable in cellular communications.
The intrinsic an inherent stochastic nature of
the cellular systems has established that the
end user parameters such as position and velocity
are considered as random quantities. An
interesting modeling of the PSCC was done in
[1][2] by using purely probabilistic arguments.
In this short report, a proposal to compute the
PSCC by using the typical I/O scheme is presented.
In contrast to the dedicate methodologies
given at the past, our perception on the
computation of the PSCC can be derived from
the following relation:
where PD is a kind of probability or cumulative
distribution function which is continue
over the range of , the variable denoting
the distance by the user and the call
arrival rate (a variable of importance in communications).
In (1) the presence of a second
integral with quadratic terms in (a transfer
function or kernel) and PD (input function) is
perceived as a term which would be in according
to the randomness of the problem in the
sense of being nonlinear. Thus, it is postulated
that the stochastic character of the problem
might be replaced in somewhat by nonlinearity
as written in Eq. (1), a different way of
measuring PSCC as normally is given by probabilistic
relations. Furthermore, an eventual
testing of Eq. (1) it would be of importance as
(1)
Dr. Huber Nieto-
Chaupis (1) ,
Ing. Flavio Ramirez
Horna (2)
(1) Vicerrectorado
de Investigación,
Ciencia y Tecnología
y Facultad de
Ingeniería Electrónica
y Mecatrónica FIEM
Universidad
Tecnológica del Perú.
(2) Facultad
de Ciencias e
Ingeniería - Pontifica
Universidad Católica
del Perú.
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