Calculate the highest message arrival rate

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Reference no: EM133702945

Question: Messages (customers) arrive at a single processor (server) system in accordance with a Poisson process at intensity 0.2 messages/sec. The service time is exponentially distributed with a mean message service time that is equal to 4.55 sec. (a) Calculate the average and standard deviation of the waiting time of a message in the queue. (b) Calculate the probability that the message delay in the system (including its queueing and service time latencies) is longer than 60 sec. (c) To reduce message latencies, the system manager plans to apply flow admis- sion control by reducing the message arrival rate to the system. Calculate the highest message arrival rate that the system should accommodate to guaran- tee a message delay that is no longer than 55 sec for 90 percent of the served messages. (d) For the two systems described above, use Little's formula to derive the average system size at steady-state

Reference no: EM133702945

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