Eight data terminals statistically share the capacity of an outgoing link. Traffic is combined from the eight terminals and then served first-come first served. An (M/M/1) queue with infinite buffer is assumed. Find the expected number of packets in the system and the expected waiting time in the following cases: a) A terminal generates a packet every 10 seconds, the link speed is 1024 bits/sec, and packet length = 512 bits. b) Repeat (a) using finite buffer k=10 and compare your results to the infinite buffer case 1;=1/10 =1024 bits/512 bits = 2 8 terminals Out 1=(1/10)*8 = 0.8

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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Eight data terminals statistically share the capacity of an outgoing link. Traffic is
combined from the eight terminals and then served first-come first served. An
(M/M/1) queue with infinite buffer is assumed. Find the expected number of
packets in the system and the expected waiting time in the following cases:
a) A terminal generates a packet every 10 seconds, the link speed is
1024 bits/sec, and packet length = 512 bits.
b) Repeat (a) using finite buffer k=10 and compare your results to the infinite
buffer case
A;=1/10
=1024 bits/512 bits = 2
8 terminals
Out
1=(1/10)*8 = 0.8
1
Transcribed Image Text:Eight data terminals statistically share the capacity of an outgoing link. Traffic is combined from the eight terminals and then served first-come first served. An (M/M/1) queue with infinite buffer is assumed. Find the expected number of packets in the system and the expected waiting time in the following cases: a) A terminal generates a packet every 10 seconds, the link speed is 1024 bits/sec, and packet length = 512 bits. b) Repeat (a) using finite buffer k=10 and compare your results to the infinite buffer case A;=1/10 =1024 bits/512 bits = 2 8 terminals Out 1=(1/10)*8 = 0.8 1
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