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A large bank branch employs 5 tellers to serve its customers. Customers arrive according to a...

  1. A large bank branch employs 5 tellers to serve its customers. Customers arrive according to a Poisson process at a mean rate of 3 per minute. The transaction time between the teller and customer has an exponential distribution with a mean of 1 minute. The management has established the following guidelines for the satisfactory level of service to customers:
  1. The average number of customers waiting in line to begin service should not exceed 1.
  2. At least 95% of the time, the number of customers waiting in line should not exceed 3.
  3. For at least 95 percent of the customers, the time spent in line waiting to begin service should not exceed 1 minutes.

Use the M/M/s model to determine how well these guidelines are currently being satisfied. Verify your solution using the Excel template provided.

Math   Statistics-And-Probability   
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