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:
• The utilization of the system • The probability of having exactly one job in the system • The probability of having more than 5 jobs in the system • The average queue length (job not in service) • The average response time • The probability that the response time is greater than 0.5 s. • The 90 percentile of the response time distribution