The Judy Gray Income Tax Service is analyzing its customer service operations during the month prior to the April filing deadline. On the basis of past data it has been estimated that customers arrive according to a Poisson process at a rate of 5 customers per hour. The time for Judy to complete a customer interview averages 10 minutes. (Actual resturns are completed by part-time interns hired by Judy.) Based on this information, answer the following questions: If you went to Judy, how much time would you allow for getting your return done? On average, how much room should be allowed for the waiting area? If  Judy stayed in the offce 12 hours per day, how many hourg on average, per day, would she be busy? What is the probability that Judy is idle?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section12.5: Analytic Steady-state Queueing Models
Problem 9P
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The Judy Gray Income Tax Service is analyzing its customer service operations during the month prior to the April filing deadline. On the basis of past data it has been estimated that customers arrive according to a Poisson process at a rate of 5 customers per hour. The time for Judy to complete a customer interview averages 10 minutes. (Actual resturns are completed by part-time interns hired by Judy.) Based on this information, answer the following questions:

    • If you went to Judy, how much time would you allow for getting your return done?
    • On average, how much room should be allowed for the waiting area?
    • If  Judy stayed in the offce 12 hours per day, how many hourg on average, per day, would she be busy?
    • What is the probability that Judy is idle?
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ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,