The market manager wants to determine the following for this waiting line system: Average number of customers in the total system Average time spent in the system per customer Probability that there are more than 2 customers waiting in line

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
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The Fast Shop Drive-In Market has one checkout counter where one employee operates the cash register. The combination of the cash register and the operator is the checkout counter in this waiting line system.  Customers arrive at a rate of one every 3 minutes according to a Poisson distribution, and service times are exponentially distributed, with a mean rate of 30 customers per hour.

  1. a) The market manager wants to determine the following for this waiting line system:
  2. Average number of customers in the total system
  3. Average time spent in the system per customer
  4. Probability that there are more than 2 customers waiting in line
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