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

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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-uviiea.zip