[SOLVED] Performance indices of an M/M/1 queue

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Performance indices of an M/M/1 queue
Consider a server that executes jobs arriving according to a Poisson process of rate l = 10 job/s, and serves them with an average service time D = 85 ms.
Determine:
β€’ The utilization of the system β€’ The probability of having exactly one job in the system β€’ The probability of having more than 5 jobs in the system β€’ The average queue length (job not in service) β€’ The average response time β€’ The probability that the response time is greater than 0.5 s. β€’ The 90 percentile of the response time distribution

  • L12-MM1-queues-7brs15.zip