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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

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