## Question

###### You are managing a call center where arrivals follow a Poisson process - with rate of 300 calls per hour and the service time is exponential with a mean of 2 minutes. (a) What is the approximate number of servers needed s0 that the proba: bility that a customer has a nonzero wait in queue is 592 (6) If the arrival rate doubles, what is the approximate number of servems needed to maintain the same level of service? (c) Suppose that you are given the steady-state probabilities po Pta Give a form

You are managing a call center where arrivals follow a Poisson process - with rate of 300 calls per hour and the service time is exponential with a mean of 2 minutes. (a) What is the approximate number of servers needed s0 that the proba: bility that a customer has a nonzero wait in queue is 592 (6) If the arrival rate doubles, what is the approximate number of servems needed to maintain the same level of service? (c) Suppose that you are given the steady-state probabilities po Pta Give a formula or procedure for computing the expected number o customers in queue and the variance of the number of customers i queue using these values comniter

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