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Queuing Theory Problem: Traffic to a message switching system , arrives in a random pattern at...

Queuing Theory Problem:

Traffic to a message switching system , arrives in a random pattern at an average at an rate of 180 messages per minute. The communication line has a transmission rate of 780 characters per second. The message length distribution including (meta-data) is approximately exponential with an average length of 19 characters.

a. Calculate W, Wq, Ws, L, Ls, Lq, and p.

b. What is the probability that 6 or more messages are waiting to be transmitted?

c. How would the average response time change if the traffic rate into the center increased by 14%?

math   Statistics-And-Probability   
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