Question

Queueing models exercise. AT&T has just a set up a call center to provide technical assistance to its costumers. Calls are arriving according to a Poisson process at a mean rate of 10 per hour. One technical representative is taking the calls, where the time required has an exponential distribution with a mean of 4 minutes.

a. What is the average time in between the calls are arriving?

b. What is the average number of calls that a technical representative can take during one hour?

Answer 1

a)

Average number of cars per hour i.e. = 10

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b)

Average service rate  µ = 4 minutes

Average number of calls that a technical representative can take during one hour = 15 calls