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Contents Telektronikk - Telenor

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72<br />

Erl kErl<br />

50<br />

40<br />

30<br />

20<br />

10<br />

0<br />

8 10 12 14 16 18 20 22<br />

hour<br />

Figure 6 The daily traffic intensity profiles, the quarter-hours being averaged over<br />

ten consecutive working days, each as average of 115 circuit-groups [5]<br />

10<br />

0<br />

20<br />

10<br />

0<br />

10<br />

0<br />

May 1985<br />

Aug 1985<br />

Nov 1985<br />

May 1995<br />

Aug 1995<br />

Nov 1995<br />

10 12 14 16 18 20 22<br />

Figure 7 Division of the 115 circuit-groups into different peak-hour timings in the<br />

three fortnight measurement rounds: May, August and November 1985 [6]<br />

centrated on these hours only, where a<br />

peak-hour has been discovered in earlier<br />

measurements.<br />

The study object in Helsinki local network<br />

was the 115 circuit-groups in the<br />

Sörnäinen AKE-transit exchange. The<br />

fortnight measurement rounds in quarterhours<br />

lasted daily from 8 a.m. to 10 p.m.<br />

The measurements were carried out in<br />

May, August and November 1985,<br />

41<br />

35<br />

36<br />

totalling nearly 600 kEh per round. The<br />

complete study is published in [6].<br />

The study indicated that the total profiles<br />

of the whole exchange, describing sum<br />

profiles of all circuit-groups, were quite<br />

stable, Figure 6. The morning, afternoon<br />

and evening peaks are obvious, and<br />

according to the ElCo about measurement<br />

round for the whole exchange, serving<br />

both business and domestic traffic.<br />

5<br />

4<br />

3<br />

2<br />

1<br />

When observing separate circuit-groups’<br />

peak-hours, they can be seen to have<br />

morning, afternoon or evening day-time<br />

character, Figure 7.<br />

But when observing one circuit-group in<br />

consecutive rounds, the peak-hour jumps<br />

from one day-time to another between<br />

rounds in 26 % of cases. According to a<br />

study of the primary material in rounds in<br />

August and November, if measured in<br />

full hours, only in five circuit-groups did<br />

(4 %) the peak-hour keep its timing<br />

strictly from one round to another. But<br />

when taking into account the partial<br />

overlappings, too (Figure 6), the percentage<br />

of overlapping circuit-groups increased.<br />

A partial overlapping of three<br />

quarter-hours was in 24, of half-hours in<br />

14, and of one quarter-hour in 15 circuitgroups,<br />

but as many as every second case<br />

remained without overlapping at all.<br />

Thus the average overlapping was (5 x 4<br />

+ 24 x 3 + 14 x 2 + 1 x 15) / 115 =<br />

135 / 115 = 1.17 quarter-hours. The<br />

result is that the probability of finding the<br />

peak-hour from the earlier timing in consecutive<br />

measurement rounds is 1.17/4 =<br />

0.29. Thus the earlier mentioned good<br />

stability of the whole exchange’s traffic<br />

profiles does not help the fact that by circuit-groups<br />

there is a bigger probability<br />

to miss than to hit the peak-hour, when<br />

the measurement is timed according a<br />

preselected time.<br />

5 The representativity of<br />

the average day<br />

The ElCo about the average day is that<br />

the peak-hour of the average day in measurement<br />

round coincides with the peakhours<br />

of the round’s days. If the ElCo<br />

about the average day is valid, the average<br />

day’s peak-hour can be used instead<br />

of the peak-hours of the days in the<br />

round.<br />

The study object in Helsinki local network<br />

was the 115 circuit-groups in the<br />

Sörnäinen AKE-transit exchange. The<br />

fortnight measurement rounds in quarterhours<br />

lasted daily from 8 a.m. to 10 p.m.<br />

The measurements were carried out in<br />

May and November 1985, totalling<br />

nearly 600 kEh per round. The complete<br />

study is published in reference [7].<br />

The study indicated that the average<br />

day’s peak-hour coincides fully with the<br />

peak-hours of zero to six of the round’s<br />

days in May (zero to five in November),<br />

averaging 2.36 (1.93), of the ten possible<br />

days. But when taking into account the<br />

quarter-hourly overlappings, too (Figure

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