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.
OPTIONAL*
For the average response time, compare the results that can be obtained considering either a single run with N = 10000 jobs, or K = 50 runs of M = 200 jobs each.
* Optional parts are useful to challenge your understanding of the topic. You are encouraged to do them, but they will not asked during the exam
