Question

In: Computer Science

During 1 30 minute observation, a web server received 2700 requests. The mean response time was...

During 1 30 minute observation, a web server received 2700 requests. The mean response time was 2 seconds. What is the mean number of queries in the system? Give both formula and result. Does your formula depend upon distributional assumptions?

Expert Solution

QUESTION:During 1 30 minute observation, a web server received 2700 requests. The mean response time was 2 seconds. What is the mean number of queries in the system? Give both formula and result. Does your formula depend upon distributional assumptions?

SOLUTION:

GIVEN:

OBSERVATION INTERVAL : 1HOUR 30MINUTES ==>60+30 =90MINUTES

RECEIVED REQUEST : 2700

MEAN RESPONSE TIME : 2 SECONDS

FORMULA FOR ARRIVAL RATE IS GIVEN BY

WHERE

A =Total number of request arrived=2700

T= total interval of time =90min

NOW, as we know MEAN RESPONSE TIME IS 2 SECONDS

1 request will be completed in 2seconds

then

30 requests will be competed in 1 minutes

So,mean number of queries in the system is ZERO and it does not depends on the distributional assumptions.

venereology answered 9 months ago

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