Computer Networks - Queues A node in a computer network can be modeled as an M/M

Question

Computer Networks - Queues

A node in a computer network can be modeled as an M/M/1 queue. The capacity of the line out of the node is 1400 bps, and there are 10 bits per message. Under certain conditions, it is known that an average of 50 messages are stored in the system (storage buffer and output line).

a. Under these same conditions, what is the arrival rate?

b. What is the total average time delay through the system?

c. What is the average number of messages stored in the buffer?

d. What is the average queuing delay?

e. What is the traffic intensity?

Formulas:

Explanation / Answer

a) Arrival rate is basically calculation of lambda i.e equal to 1400 bps only as arrival rate is defined as bits per second.

b)Total average time delay=500 bits/1400bps=0.35 seconds

c)Average number of messages stored=50

d)Average quequing delay=(N-1)*L/2R

e)Traffic intensity=1400*0.35=500

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