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PEAP Lab 15-Performance indices of an M/G/1 queue Solution


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

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