Islamabad has a population of 2 million residents.Four Competing trunked mobile

Question

Islamabad has a population of 2 million residents.Four Competing trunked mobile networks Ufone , Mobilink , Zong and Telenor provide cellular service in this area. Suppose ufone has 394 cells with 19 channels each. Mobilink has 98 cells with 57 channels each. Zong has 80 cells with 70 channels each. Telenor has 49 cells with 100 channels each.

Find the number of users that can be supported at 2% blocking if each user averages 2 calls per hour at average call duration of 3 minutes. Assuming that all the four trunked systems are operated at maximum capacity , compute the percentage market penetration of each cellular provider.

Explanation / Answer

Solution:

System A

Given:

Probability of blocking = 2% = 0.02

Number of channels per cell used in the system, C = 19

Traffic intensity per user, Au = H = 2 × (3/60) = 0.1 Erlangs

For GOS = 0.02 and C = 19, from the Erlang B chart,

the total offered traffic( A)= 12.33 Erlangs.

Therefore, the number of users that can be supported per cell is

U = A/ Au = 12.33/0.1 = 123.3123

Since there are 394 cells, the total number of subscribers that can

be supported by System A is equal to 123 × 394 = 48462

System B

Given:

Probability of blocking = 2% = 0.02

Number of channels per cell used in the system, C = 57

Au = H = 2 × (3/60) = 0.1 Erlangs

For GOS = 0.02 and C = 57, from the Erlang B chart,

the total offered traffic(A) = 46.82 Erlangs.

Therefore, the number of users that can be supported per cell is

U = A/ Au = 46.82/0.1 = 468.2468

Since there are 98 cells, the total number of subscribers that can

be supported by System B is equal to 468 × 98 = 45864

System C

Given:

Probability of blocking = 2% = 0.02

Number of channels per cell used in the system, C = 100

Au = H = 2 × (3/60) = 0.1 Erlangs

For GOS = 0.02 and C = 100, from the Erlang B chart,

the total carried traffic(A)= 87.97 Erlangs.

Therefore, the number of users that can be supported per cell is

U = A/ Au = 87.97/0.1 = 879.7879

Since there are 49 cells, the total number of subscribers that can be

supported by System C is equal to 879 × 49 = 43071

Therefore, total number of cellular subscribers that can be supported

by these three systems are 48,462 + 45,864 + 43,071=137397

the percentage market penetration is equal to

48,462/2,000,000 = 2.423%

Similarly, market penetration of System B is equal to

45,864/2,000,000 = 2.293%

and the market penetration of System C is equal to

43,071/2,000,000 = 2.153%

The market penetration of the three systems combined is equal to

137,397/2,000,000 = 6.869 %

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