Calculation of traffic intensities at the out of SM

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After calculation of q-coefficients we need to find the traffic intensities at the out of SM with the help of the following formulas:

(2.10)

Let us calculate the traffic intensities in the out of SM for NA-3:

Calculations of the traffic intensities at the out of SM for NA-4 and NA-5 are the same, so let’s calculate them and illustrate the results in the table 2.4.

Table 2.4 - Traffic intensities in the out of SM and q coefficients for digital stations


NA-3	0,92	0,94	0,87	0,95	5,173	5,339	0,203	0,733	1,1832	12,631
NA-4	0,92	0,94	0,87	0,95	28,105	28,982	1,103	3,938	5,8550	67,983
NA-5	0,92	0,94	0,87	0,95	28,386	29,300	1,114	4,044	5,9543	68,798

Total subscriber load of HTE (SSM) equals to:

Y_LO = М×YloSM,

Y_LI = М×YliSМ,

(2.11)

YTI= М×Y_ti_SM,

YTO SSP= М×Yto+SSPSM_,

YSSC= М×YSSCSM,

where М – is a number of SM on HTE or RSwM.

(2.12)

Calculations of the total subscribers’load performed for all HTE, RSwM and RSuMUTN. Results are presented in the table 2.5).

For HTE 31/32:

M= ,

by the multiplying this value on obtained earlier loads we obtain:

Table2.5 – Results of calculation subscribers load intensity for network stations

DSS-31/32 «Kvant-Е»

N_SМ

YLO HTE

YLI HTE

YSSC

YTI HTE

YSSP HTE

YTO HTE

YHTE

HTE- 31/32

15000

128

118

610,402

630,002

23,959

86,494

0,450

139,616

1490,473

RSwM -1

3072

128

124,150

128,136

4,873

17,592

0,092

28,396

303,147

RSwM -2

4096

128

165,533

170,848

6,497

23,456

0,122

37,862

404,196

RSuM -1

224

128

10,346

10,678

0,406

1,466

0,008

2,366

25,262

RSuM -2

256

128

10,346

10,678

0,406

1,466

0,008

2,366

25,262

RSuM -3

128

5,173

5,339

0,203

0,733

0,004

1,183

12,631

DSS-41/42 SI-2000/V.5

N_SМ

YLO HTE

YLI HTE

YSSC

YTI HTE

YSSP HTE

YTO HTE

YHTE

HTE - 41/42

19000

704

139,668

144,153

5,482

19,791

0,103

31,946

341,040

SAN-1

1408

704

10,346

10,678

0,406

1,466

0,008

2,366

25,262

SAN-2

2800

704

20,692

21,356

0,812

2,932

0,015

4,733

50,525

DSS-51/52 SI-2000/V.5

N_SМ

YLO HTE

YLI HTE

YSSC

YTI HTE

YSSP HTE

YTO HTE

YHTE

HTE - 51/52

16000

704

118,977

122,797

4,670

16,859

0,088

27,213

290,516

Calculation of traffic intensities for analogue PE

These calculations should be done with the usage of next formulas:

(2.13)

where is used because of the displacement in the NA-4.

The loads should be calculated by the previously mentioned formulas and performed in the table 2.6.

For PE-45:

Table 2.6 – Calculated traffic intensities for PE-45 and PE-47

		К_priv				YLO PE	YLI PE	YSSC	YTI	YTO	YPE
PE-45	6000	0,65	3900	2100	60	224,03	245,70	8,13	33,90	45,83	557,59
PE-47	4000	0,65	2600	1400	40	149,35	163,80	5,42	22,60	30,55	371,73

Interstation distribution load on UTN. The gravitational coefficients

Calculation of interstation loads involves the distribution of the output load from the HTE and all the PE to other network stations. Example of load distribution shown in Fig. 2.2.

Figure 2.2 – Scheme of load distribution

The load on the station k to the z-station is given by:

(2.14)

;

where – is an intensity of output load from PE -k (HTE- k, RSwM-k);

- is an intensity of input subscriber load to PE -z;

– is sum of input load intensities on all PE, HTE, RSwM urban network, normalized by gravity coefficientsrelatively to PE-k, (HTE-k,RSwM-k).

YliUTN =∑YliHTEm× nkm +∑YliRSwMr × nkr +∑YliPEx × nkx (2.15)

m r x

In the expression (2.15) the first term − normalizedbygravitycoefficients n_kmrelatively to station k sum Y_liHTE of all network HTE , including calculated HTE -k; second term–the same sum Y_liRSwMof all network RSwM; third term− the same sumY_liPEof all existing PE. Intensity of all input and output loads created by all PE, HTE, RSwM, previously calculated are considered in table2.5).

For calculating interstation loads intensities input and output loads created by RSuM-1,RSuM-2,RSuM-3,THE-31/32 “Kvant-E” must be summarized, considering that RSuM doesn`t perform the function of load circuit.

When designing some real network objects that are of great attraction (located in the same building) can be combined in a hypothetical exchanges, with a capacity equal to the sum of the capacities of stations, which are part of a hypothetical exchange. For a given logical network unification and the creation of a hypothetical PBX for the SAN-1 and the PE-45, as well as the SAN-2 and PE-47, located in the same building.

(2.16)

ThenYloSAN-1 = YloSAN-1 + YloPE-45, YliSAN-1 = YliSAN-1 + YliРE-45, similarlyYloSAN-2 = YloSAN-2 + YloРE-47, YliSAN-2 = YliSAN-2 + YliРE-47.

Table2.7 – Outgoing and incoming traffic intensities for public exchanges in the network

	HTE-31/32	HTE-41/42	HTE-51/52	RSwM-1	RSwM-2	SAN-1	SAN-2
Ylo	636,27	139,67	118,98	124,15	165,53	234,38	256,38
Yli	656,70	144,15	122,80	128,14	170,85	170,71	185,16

The normalized gravity coefficients n_kz from station k to station z are determined by the results of research on the web. Intrastation for communication and for communication between stations and sub-stations spaced from each other within 0,5 km can take n_kz = 1. At large distances n_kz coefficient reduced to 0.9, respectively; and even 0.8 to 0.3. With the same distance in the direction from the periphery to the center n_zk coefficients slightly larger and in the opposite direction - is somewhat smaller. All pre-set and calculated according to the distance interstation n_kz rates recorded in the table inter-station gravity (Table. 2.8).

Table 2.8 - Attraction coefficients depending of distance between the stations

L, км	0	1	2	3	4	5	6	7	8	9
n_k-z	1,00	0,90	0,80	0,75	0,70	0,65	0,60	0,55	0,50	0,48

L, км	10	11	12	14	16	18	20	22	24	26
n_k-z	0,45	0,43	0,40	0,38	0,36	0,32	0,30	0,29	0,28	0,25

Selected gravity coefficients, depending on the configuration of the network are entered into the table. 2.9.

Table 2.9 - Attraction coefficients

from/to	HTE-31/32	HTE-41/42	THE-51/52	RSwM-1	RSwM-2	SAN-1	SAN-2
HTE-31/32	1	0,32	0,6	0,43	0,55	0,32	0,25
HTE-41/42	0,32	1	0,5	0,43	0,55	0,7	0,8
THE-51/52	0,6	0,5	1	0,45	0,5	0,45	0,48
RSwM-1	0,43	0,43	0,45	1	0,9	0,36	0,38
RSwM-2	0,55	0,55	0,5	0,9	1	0,43	0,4
SAN-1	0,32	0,7	0,45	0,36	0,43	1	0,7
SAN-2	0,25	0,8	0,48	0,38	0,4	0,7	1

The calculation results Y_kz Interstation load recorded in the table Interstation load (tab. 2.10).

Table 2.10 - Interexchange traffic intensities

from/to	HTE-31/32	HTE-41/42	THE-51/52	RSwM-1	RSwM-2	SAN-1	SAN-2	Σ intensities
HTE-31/32	407,05	28,59	45,67	34,15	58,25	33,86	28,69	636,27
HTE-41/42	35,26	24,19	10,30	9,25	15,77	20,05	24,85	139,67
THE-51/52	52,22	9,55	16,28	7,64	11,32	10,18	11,78	118,98
RSwM-1	43,10	9,46	8,43	19,56	23,47	9,38	10,74	124,15
RSwM-2	63,91	14,03	10,86	20,41	30,23	12,99	13,11	165,53
SAN-1	62,64	30,08	16,47	13,75	21,90	50,89	38,64	234,38
SAN-2	55,37	38,90	19,88	16,42	23,05	40,30	62,45	256,38
Σ intensity	719,57	154,80	127,90	121,18	183,99	177,65	190,26	1675,35
Balance, %	-9,58	-7,39	-4,16	5,43	-7,69	-4,07	-2,76

From the obtained values of balance that don`t exceed 10% we can see that little difference can take place in the calculations. The mistake probably was created by the not accurate counting’s.

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