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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

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)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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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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