The reference desk of a university library receives requests for assistance

Business Aug 22, 2020

The reference desk of a university library receives requests for assistance. Assume that a Poisson probability distribution with an arrival rate of 10 requests per hour can be used to describe the arrival pattern and that service times follow an exponential probability distribution with a service rate of 12 requests per hour.
b. What is the average number of requests that will be waiting for service?

Expert Solution

b). Computation of the average number of requests that will be waiting for service (Lq):-

Average number of request in waiting line (Lq))= (Arrival rate^2) / (Service rate * (Service rate - Arrival rate))

= (10^2) / (12*(12-10))

= 100 (12 * 2)

= 100 / 24

= 4.167

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