Queuing Theory | Single Server Infinite Queue | Numerical Problem 3
Автор: GTIC
Загружено: 2021-01-31
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Practice Problem 03:
Traffic to a router arrives in a random pattern at an average rate of 240 messages per minute while each message has an exponential length distribution with an average length of L=22 bytes. The router has a transmission rate of 6400 bits per second. (Note: 1 bit is equal to 0.125 bytes)
Calculate the following statistical measures of system performance, assuming that a very large number of message buffers are provided:
A) Average number of messages in the system.
B) Average number of messages in the queue waiting to be transmitted.
C) Average time a message spends in the system.
D) Average time a message waits for transmission.
E) Probability that 10 or more messages are waiting to be transmitted.
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