Contents Telektronikk - Telenor
Contents Telektronikk - Telenor
Contents Telektronikk - Telenor
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had 62 circuits and a fortnightly intensity<br />
of 29.1 E. The measured traffic volume<br />
exceeded 250 MEh. The complete study<br />
is published in [5].<br />
Concerning one circuit-group, the first<br />
year’s peak load time was identified, and<br />
the expected time and intensity 26 fortnights<br />
later were searched. The expected<br />
values were compared with the real second<br />
year’s peak load time and intensity.<br />
The timing error dt and the intensity loss<br />
y % characterise that circuit-group, Figure<br />
1.<br />
If the ElCo about seasons were valid, all<br />
the circuit-groups were concentrated to<br />
point dt = 0, y % = 0. In fact, the ElCo<br />
about seasons was fulfilled only in a<br />
minority of cases, the rest indicating a<br />
wide scattering in dt-y %-plane, Figure 2.<br />
An analysis was done by projecting the<br />
points in Figure 2 to the dt-axis, one by<br />
one. The dt-axis projection of these numbers,<br />
Figure 3, indicates that<br />
- the full validity of ElCo about seasons<br />
realised in 305 of 2728 circuit-groups,<br />
i.e. 11.1 % of cases; a random result<br />
would be 1/26 = 3.8 %;<br />
- the moderate validity of ElCo about<br />
seasons by timing error of dt being at<br />
least two fortnights realised in 31 % of<br />
the circuit-groups, the random being<br />
5/26 = 19.2 %, and<br />
- measurements have to last for six fortnights<br />
(three months) in order to discover<br />
the highest fortnight of at least<br />
every second circuit-group.<br />
The y %-axis projection, Figure 4, indicates<br />
that<br />
- the average intensity error is 7.6 %,<br />
being large (14 %) for low, up to ten<br />
erlangs, and low (5 %) for high traffic,<br />
at least one hundred erlangs<br />
- if a reliability of 90 % is aimed at, the<br />
pre-selected fortnight intensity must be<br />
exceeded by 25 %. It means corresponding<br />
overdimensioning on an<br />
average, leaving, however, every tenth<br />
intensity value underestimated.<br />
The average intensity error in classes of<br />
timing error is presented in Figure 5. It<br />
indicates that when deviating from the<br />
perfect timing, the intensity error suddenly<br />
jumps to the rather constant high<br />
values, i.e. the highest fortnight does not<br />
stay in the neighbourhood of the earlier<br />
peak season, but appears at an arbitrary<br />
number of fortnights apart.<br />
n<br />
300<br />
250<br />
200<br />
150<br />
100<br />
50<br />
0<br />
(%)<br />
20<br />
15<br />
10<br />
5<br />
0.0-0.0<br />
2.0-2.9<br />
4.0-4.9<br />
8.0-8.9<br />
12.0-12.9<br />
16.0-16.9<br />
20.0-20.9<br />
24.0-24.9<br />
Figure 4 Distribution of intensity errors y % [5]<br />
4<br />
9<br />
19<br />
15<br />
10<br />
12<br />
15<br />
22<br />
23<br />
32<br />
19<br />
30<br />
33<br />
36<br />
34<br />
49<br />
43<br />
70<br />
57<br />
67<br />
69<br />
64<br />
64<br />
98<br />
157<br />
305<br />
159<br />
122<br />
79<br />
64<br />
64<br />
73<br />
60<br />
86<br />
94<br />
49<br />
75<br />
48<br />
39<br />
20<br />
28<br />
31<br />
34<br />
51<br />
44<br />
24<br />
37<br />
28<br />
25<br />
21<br />
8<br />
0<br />
-25 -20 -15 -10 -5 -1 01 5 10 15 20 25<br />
Fortnightly scale<br />
[2 weeks]<br />
Figure 5 Average intensity errors in different timing error classes [5]<br />
The validity of ElCo about seasons is less<br />
than 50 %. The high season thus cannot<br />
be nominated in advance, but intensities<br />
of consecutive fortnights can vary<br />
strongly. Only the low loads during summer<br />
vacations can be identified, the<br />
decrease being on an average of 30 %.<br />
Since the high load timing is not predictable,<br />
the measurement has to last for<br />
periods totalling at least six months,<br />
uninterrupted or in shorter periods.<br />
28.0-28.9<br />
32.0-32.9<br />
36.0-36.9<br />
40.0-40.9<br />
44.0-44.9<br />
4 The stability of the<br />
peak-hour in<br />
measurement rounds<br />
The ElCo about measurement rounds is<br />
that the peak-hour of the average day in<br />
a measurement round of a circuit-group<br />
is stable from season to season. If the<br />
ElCo about measurement round is valid,<br />
the intensity measurements can be con-<br />
71