Description
WARNING: this assignment contains 2 exercises
Performance indices of an M/G/1 queue
A server receives jobs according to a Poisson process of rate l = 3 j/s. The duration of each job is distributed according to an Hyper-Exponential, of rate µ1 = 1 j/s (prob. 0.2) and µ2 = 10 j/s (prob. 0.8).
Compute:
1. The utilization of the system 2. The average number of jobs in the system 3. The average response time
Approximate Performance indices of a G/G/2 queue
A dual core server receives jobs with inter-arrival time distributed according to a uniform distribution between 0.1 and 0.2. The duration of each job is distributed according to an Hyper-Exponential, of rate µ1 = 1 j/s (prob. 0.2) and µ2 = 10 j/s (prob. 0.8). Compute:
1. The utilization of the system 2. The approximate average response time 3. The approximate average number of jobs in the system
