The Bijou Theater shows vintage movies. Customers arrive at the theater line at the rate of 100 per hour. The ticket seller averages 30 seconds per customer, which includes placing validation stamps on customers’ parking lot receipts and punching their frequent watcher cards. (Because of these added services, many customers don’t get in until after the feature has started.) (Use the Excel spreadsheet Queue Models.) What is the average customer time in the system?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section12.4: Important Queueing Relationships
Problem 6P
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The Bijou Theater shows vintage movies. Customers arrive at the theater line at the rate of 100 per hour. The ticket seller averages 30 seconds per customer, which includes placing validation stamps on customers’ parking lot receipts and punching their frequent watcher cards. (Because of these added services, many customers don’t get in until after the feature has started.) (Use the Excel spreadsheet Queue Models.)

  1. What is the average customer time in the system?

     
  2. What would be the effect on customer time in the system of having a second ticket taker doing nothing but validations and card punching, thereby cutting the average service time to 20 seconds?

    Note: Round your answer to 3 decimal places.

     
  3. What would be the customer time in the system if instead of the change in part (b), a second window was opened with each server doing all three tasks?

    Note: Do not round intermediate calculations. Round your answer to 3 decimal places.

     
  4. Would system waiting time which is obtained in part (c) be less than you found in (b)?

    multiple choice

    • Yes
    • No
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