Q5. Unless specified otherwise, use the free space propagation speed of light 3x108 m/s to calculate the propagation delay. For numerical calculations, the results must show the appropriate unit. Show a complete solution for each problem in your submission. An access multiplexer (AM) installed in the roadside box of the NBN (National Broadband Network). Assume that 200 homes are connected to the AM. The average packet interarrival arrival time at the AM is 200 microseconds. The average packet length is 2,500 bytes where the packet length is exponentially distributed. a. Calculate the number of packets arriving at the AM every hour. b. Calculate the incoming traffic rate (in bits/sec) at the input of the AM. c. Assume that the output of the AM is connected to the NBN core network via a 2-Gbps link. Calculate the total normalised load "p" at the AM. d. Assume that the packet arrival process is exponentially distributed. Calculate the average queuing delay introduced by the AM.

Q5. Unless specified otherwise, use the free space propagation speed of light 3x108 m/s to calculate the propagation delay. For numerical calculations, the results must show the appropriate unit. Show a complete solution for each problem in your submission. An access multiplexer (AM) installed in the roadside box of the NBN (National Broadband Network). Assume that 200 homes are connected to the AM. The average packet interarrival arrival time at the AM is 200 microseconds. The average packet length is 2,500 bytes where the packet length is exponentially distributed. a. Calculate the number of packets arriving at the AM every hour. b. Calculate the incoming traffic rate (in bits/sec) at the input of the AM. c. Assume that the output of the AM is connected to the NBN core network via a 2-Gbps link. Calculate the total normalised load "p" at the AM. d. Assume that the packet arrival process is exponentially distributed. Calculate the average queuing delay introduced by the AM.

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter20: Queuing Theory

Section20.10: Exponential Queues In Series And Open Queuing Networks

Problem 8P

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Unless specified otherwise, use the free space propagation speed of light 3x108 m/s to calculate the propagation delay. For numerical calculations, the results must show the appropriate unit. Show a complete solution for each problem5. An access multiplexer (AM) installed in the roadside box of the NBN (National Broadband Network). Assume that 200 homes are connected to the AM. The average packet interarrival arrival time at the AM is 200 μs. The average packet length is 2,500 bytes where the packet length is exponentially distributed.a. Calculate the number of packets arriving at the AM every hour.b. Calculate the incoming traffic rate (in bits/sec) at the input of the AM.c. Assume that the output of the AM is connected to the NBN core network via a 2-Gbps link. Calculate the total normalised load ρ at the AM.d. Assume that the packet arrival process is exponentially distributed. Calculate the average queuing delay introduced by the AM.
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