Question: A remote Private Automatic Branch Exchange (PABX) is connected by a tie line that is used for all inbound calls to the PABX. The tie

A remote Private Automatic Branch Exchange (PABX) is connected by a tie line that is used for all inbound calls to the PABX. The tie lines have 800 active ends and each active end carries 30 mE of inbound traffic. Assume that the PABX is receiving a Pure Chance Traffic Type 1 (PCT-1).

i) Compute the Traffic Offered. (2 marks)

ii) Identify two possible Grade of Service (GOS) from the Erlang Table using the Traffic Offered. (3 marks)

iii) Analyze the trunk efficiency for both GOS and conclude on the findings. (5 marks)

iv) Calculate the Traffic Carried and Traffic Loss if the PABX is using the lowest GOS from (ii). (4 marks)

v) State the Traffic Congestion, Time Congestion and Call Congestion for the PABX using the lowest GOS. (3 marks)

vi) If one trunk is added to the PABX using the lowest GOS, determine the extra traffic that the trunk can carry and justify whether the trunks would be economical (consider the Probability of Blocking for the added trunk is 0.001). (3 marks)

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