12.16 A group of 100 sources offers messages with exponentially distributed lengths to a 1200-bps line. The average message length is 200 bits, including overhead, and each source generates one message every 20 sec. Access to the line is con- trolled by message-switching concentration with an infinite queue. Determine the following: (a) Probability of entering the queue (b) Average queuing delay for all arrivals (c) Probability of being in the queue for more than 1 sec (d) Utilization of the transmission link

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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12.16 A group of 100 sources offers messages with exponentially distributed lengths
to a 1200-bps line. The average message length is 200 bits, including overhead,
and each source generates one message every 20 sec. Access to the line is con-
trolled by message-switching concentration with an infinite queue. Determine
the following:
(a) Probability of entering the queue
(b) Average queuing delay for all arrivals
(c) Probability of being in the queue for more than 1 sec
(d) Utilization of the transmission link
Transcribed Image Text:12.16 A group of 100 sources offers messages with exponentially distributed lengths to a 1200-bps line. The average message length is 200 bits, including overhead, and each source generates one message every 20 sec. Access to the line is con- trolled by message-switching concentration with an infinite queue. Determine the following: (a) Probability of entering the queue (b) Average queuing delay for all arrivals (c) Probability of being in the queue for more than 1 sec (d) Utilization of the transmission link
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