Question 4 In a wireless access gateway, measurements have shown that the packets arrive at a mean rate of 125 packets per second according to the Poisson process, and is buffered until they can be transmitted. The buffer has infinite queue capacity. The gateway takes 2 milliseconds on average to transmit a packet and the average packet length is 500 bytes. Show whether the gateway is capable to cater the arrival of the packets. Compute the average packet transmission time, mean queue size, mean waiting time in the queue and the mean total delay. Draw the state transition diagram for the gateway.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Question 4
In a wireless access gateway, measurements have shown that the packets arrive at a mean
rate of 125 packets per second according to the Poisson process, and is buffered until they
can be transmitted. The buffer has infinite queue capacity. The gateway takes 2 milliseconds
on average to transmit a packet and the average packet length is 500 bytes. Show whether
the gateway is capable to cater the arrival of the packets. Compute the average packet
transmission time, mean queue size, mean waiting time in the queue and the mean total delay.
Draw the state transition diagram for the gateway.
Transcribed Image Text:Question 4 In a wireless access gateway, measurements have shown that the packets arrive at a mean rate of 125 packets per second according to the Poisson process, and is buffered until they can be transmitted. The buffer has infinite queue capacity. The gateway takes 2 milliseconds on average to transmit a packet and the average packet length is 500 bytes. Show whether the gateway is capable to cater the arrival of the packets. Compute the average packet transmission time, mean queue size, mean waiting time in the queue and the mean total delay. Draw the state transition diagram for the gateway.
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