A central-office-to-PBX trunk group contains four circuits. If the average call duration is 3 min and the busy-hour offered traffic intensity is 2 erlangs, deter- mine each of the following: (a) Busy-hour calling rate (b) Probability that two arrivals occur less than 1 sec apart (c) Blocking probability assuming a lost calls cleared operation (d) Amount of lost traffic (e) Proportion of time the fourth circuit is in use (assuming fixed-order selec- tion)

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter8: Symmetrical Components
Section: Chapter Questions
Problem 8.23MCQ
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Question

it's a single question.

according to the book the answers are 

(a) 40 calls/hour

(b) .989

(c) 9.5%
(d) 19E

(e) .453 

A central-office-to-PBX trunk group contains four circuits. If the average call
duration is 3 min and the busy-hour offered traffic intensity is 2 erlangs, deter-
mine each of the following:
Transcribed Image Text:A central-office-to-PBX trunk group contains four circuits. If the average call duration is 3 min and the busy-hour offered traffic intensity is 2 erlangs, deter- mine each of the following:
(a) Busy-hour calling rate
(b) Probability that two arrivals occur less than 1 sec apart
(c) Blocking probability assuming a lost calls cleared operation
(d) Amount of lost traffic
(e) Proportion of time the fourth circuit is in use (assuming fixed-order selec-
tion)
Transcribed Image Text:(a) Busy-hour calling rate (b) Probability that two arrivals occur less than 1 sec apart (c) Blocking probability assuming a lost calls cleared operation (d) Amount of lost traffic (e) Proportion of time the fourth circuit is in use (assuming fixed-order selec- tion)
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