Jonathan Trott, the manager of the driver license center in Problem C.3, has decided to open another

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Jonathan Trott, the manager of the driver license center in Problem C.3, has decided to open another service counter to improve the license renewal processing service. The time to process a license renewal in the second server, like the first server, is also an average of 4 minutes per customer with the service times following a negative exponential distribution. Because of the availability of a second service booth, the arrival rate of customers has now increased to an average of 24 customers per hour (Poisson distributed). Determine the following:

1. Probability that no customers are in the waiting line system
2. Average number customers waiting in line (queue) 

3. Average time a customer spends in the system (waiting time plus service time)

4. Probability that five customers are in the system

5. Probability that an arriving customer must wait for service

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Operations Management Managing Global Supply Chains

ISBN: 978-1506302935

1st edition

Authors: Ray R. Venkataraman, Jeffrey K. Pinto

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