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Observed traffic variations and their influence in choice of<br />

intensity measurement routine<br />

BY ASKO PARVIALA<br />

Abstract<br />

In this paper the traditional understanding<br />

of stabilities and predictability<br />

of the traffic profiles and models<br />

have been weighted against the observations.<br />

In Helsinki Telephone Company,<br />

several wide scale traffic measurement<br />

studies were made in the<br />

1980s, in order to expose how regular<br />

the traffic variations are. These<br />

measurements indicated that the conventional<br />

understanding about the stability<br />

of the repeating profiles, together<br />

with the popular traffic models during<br />

the busy hour, is dubious. This has,<br />

even in the international standardisation,<br />

caused a need to rethink the traffic<br />

intensity measurement routines, as a<br />

basis for the dimensioning of networks.<br />

1 Measurements of traffic<br />

characteristics and<br />

dimensioning<br />

The quality of telecommunications services<br />

depends on the network bottlenecks,<br />

whereas the overdimensioning of other<br />

parts in the network does not improve the<br />

service. Existing or expected bottlenecks<br />

are revealed by measuring the real traffic.<br />

Directly measurable are the quality characteristics<br />

observable by the subscriber;<br />

like congestion, waiting time, or failure<br />

rate. This information is used to control<br />

the offered service quality, but it is also<br />

necessary for immediate measures, such<br />

as fault hunting and repair. The quality<br />

characteristics are non-linear: they deteriorate<br />

fast as the load increases,<br />

approaching the network’s capacity limits.<br />

So, these are not usable in forecasting.<br />

But the load, measured in erlangs, bits per<br />

second, etc., is linearily related to the use<br />

of the service, and thus forecastable, e.g.<br />

by time series. Therefore, the network is<br />

dimensioned for a dimensioning hour<br />

intensity, calculated according to certain<br />

rules from the measured peak intensities.<br />

In determining the required number of<br />

circuits or other capacities, a mathematical<br />

model is used, which combines the<br />

intensity, the nominal quality norm and<br />

assumptions of statistical properties of<br />

traffic (distribution of call intervals and<br />

holding times), concerning the network<br />

structure in question (single circuitgroups,<br />

alternative routing, waiting<br />

opportunities). It has been popular to<br />

assume a statistical equilibrium and the<br />

Poisson-distribution for the offered traffic<br />

during the dimensioning hour. Many academical<br />

theories have been created and<br />

presented on this or a slightly modified<br />

basis. How to constitute the dimensioning<br />

hour has met with less interest. The total<br />

service quality over a year is a result of<br />

the representativity of the dimensioning<br />

hour among all hours of the year, together<br />

with accuracy of the model, and the nominal<br />

congestion during that hour. It could<br />

be presented in number of minutes in the<br />

year without service, caused by the network’s<br />

bottlenecks.<br />

2 Measurements of<br />

intensity<br />

The measurement costs concern the<br />

reserved equipment, the work of preparing<br />

and starting the measurements, and<br />

the logical handling, pruning and reporting<br />

of the measurement data. A balance<br />

will be searched between the costs of the<br />

carried measurements and the disadvantages<br />

caused by the intensities which are<br />

not measured. Among the disadvantages<br />

are unknown or unexpected breakdowns<br />

of the service quality, and unoptimal augmentations<br />

in the network.<br />

There are two different approaches with<br />

the following measurement routines:<br />

- Scheduled routines which minimise<br />

the measurement periods and the data<br />

to be handled by concentrating on the<br />

expected high value periods only. The<br />

nominal congestion is kept low in<br />

order to compensate the presumably<br />

lost peak intensities left outside the<br />

measurement periods. This also results<br />

in a high dependency on the mathematical<br />

model, and a high investment<br />

level due to the loose dimensioning.<br />

These routines are the traditional way<br />

of dimensioning, trying to minimise<br />

the use of separate measuring equipment,<br />

which is expensive in use due to<br />

lots of manual handling of data.<br />

- Continuous routines which activate the<br />

measurements all the time. The abundance<br />

of data is pruned in the earliest<br />

phase by searching the relevant peak<br />

intensities. The nominal congestion<br />

can be higher while no compensation<br />

for lost peak intensities outside the<br />

measurement periods is needed. This<br />

results in smaller dependency on the<br />

mathematical model, and in a lower investment<br />

level due to the possibility of<br />

focusing augmentation of the network<br />

equipment correctly. These routines<br />

are in use today, the measurements<br />

using just the basic data produced all<br />

the time by the exchange control processor(s).<br />

The worst choice is to create complex but<br />

inaccurate measurements, needing a low<br />

nominal congestion. Even this choice has<br />

been made by some operators.<br />

Every circuit-group between two points<br />

has its traffic capacity, which depends on<br />

the number of its circuits. If it is a potential<br />

bottleneck, it must be measured distinctly.<br />

But if, instead of one, several circuit-groups<br />

in parallel, or an overflow<br />

cluster, or a network between two subscriber<br />

groups, is considered, then the<br />

traffic capacity of the studied circuitgroup<br />

is no more constant, but lower,<br />

depending on the traffic caused by other<br />

circuit-groups. This complicates the<br />

dimensioning and the traffic management,<br />

calling for special measures by<br />

measurements. Complications of this<br />

kind are less common in a radial network<br />

structure, there including the cases where<br />

circuit-groups for reliability reasons are<br />

divided into two similar groups with<br />

symmetrically offered traffic.<br />

In comprehensive telecommunications<br />

courses is commonly taught that the<br />

offered teletraffic consists of rather regular<br />

variations, obeying annual, weekly<br />

and daily rhythms, and random Poissonian<br />

distribution during the dimensioning<br />

hour, the busy hour.<br />

If these assumptions are valid, it is sufficient<br />

to measure the busy hour intensities<br />

during a few days annually only – the<br />

rest of the year can be ignored – and to<br />

dimension by the Erlang formulae and<br />

their derivatives. The elementary conceptions<br />

in question concern the existence of<br />

the year’s high season, its annual consistency,<br />

the peak-hour’s consistency between<br />

seasons, representativity of the<br />

average day, the absence of peak loads<br />

outside the day’s peak-hour, the statistical<br />

balance and Poissonian distribution<br />

during the peak-hour.<br />

Both the rule to select the dimensioning<br />

hour and the mathematical model originated<br />

early in this century, from manual<br />

exchanges, and communication needs of<br />

the past society. They have sometimes<br />

been called into question, but they have<br />

been persistently favoured by some influential<br />

organisations. The new telecommunication<br />

networks, the new services<br />

and the nearly total renewal of users,<br />

have only to a limited extent influenced<br />

the common views.<br />

While the word “busy hour” has been<br />

used ambiguously, it is avoided here by<br />

talking about the peak-hour as a postselected<br />

hour having the highest inten-<br />

69

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