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Response time of a storage system 

 

The storage system of a small company is composed by two NAS. Each of them is configured to serve requests in parallel (i.e. processor sharing), and serves two type of users: employees and costumers. Requests of both type of users arrive according to Poisson processes respectively of rates:

 

lE = 0.1 req./s.      lC = 10 req./s.

 

Each request accesses files from both NAS. The demand of the two NAS for the two types of users have been measured as follows:

 

D1E = 2 s.      D1C = 0.06 s.

D2E = 5 s.      D2C = 0.04 s.

 

Determine:

1.      If the considered system is stable

2.      The utilization of the two NAS

3.      The residence time of the two NAS

4.      The system response time

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