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PAP-Confidence Intervals Solved

Consider a server, that executes jobs individually, in order of arrival and without interruption. Jobs arrives and are served according to the following inter-arrival time and service time distribution:

 

•      Arrivals: an hyper-exponential distribution with two stages, characterized by

(l1 = 0.1, l2 = 0.05, p1 = 0.5)

•      Service: an hypo-exponential distribution with two stages characterized by (l1 = 0.1, l2 = 0.5)

 

Generate the arrival and completion curves, and compute the 95% confidence intervals of the system average service time (R), average number of jobs (N), utilization (U) and throughput (X). Consider at least N = 10000 jobs, with K = 50 runs of M = 200 jobs each.

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