EBK OPERATIONS MANAGEMENT
EBK OPERATIONS MANAGEMENT
11th Edition
ISBN: 8220103630726
Author: RENDER
Publisher: PEARSON
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Chapter D, Problem 10P

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• • D.10 Beate Klingenberg manages a Poughkeepsie, New York, movie theater complex called Cinema 8. Each of the eight auditoriums plays a different film; the schedule staggers starting times to avoid the large crowds that would occur if all four movies started at the same time. The theater has a single ticket booth and a cashier who can maintain an average service rate of 280 patrons per hour. Service times are assumed to follow an exponential distribution. Arrivals on a normally active day are Poisson distributed and average 210 per hour.

To determine the efficiency of the current ticket operation, Beate wishes to examine several queue-operating characteristics.

  1. a. Find the average number of moviegoers waiting in line to purchase a ticket.
  2. b. What percentage of the time is the cashier busy?
  3. c. What is the average time that a customer spends in the system?
  4. d. What is the average time spent waiting in line to get to the ticket window?
  5. e. What is the probability that there are more than two people in the system? More than three people? More than four?
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Can you guys help me with this? Thank you! Here's the question: Compared to the CONSTRAINT model, how has the network changed? How do you plan to add contingency to your network? Please answer this thoroughly Here's the what-if scenario: Assume that the LA warehouse becomes temporarily or even indefinitely disabled since facing a large-scale labor disruption. Re-optimize the network considering this new constraint. Here's the scenario comparison analysis:  Scenario Constraint Scenario vs What-if Scenario Summary The Constraint Scenario exhibits a higher total cost of $7,424,575.45 compared to the What-if Scenario's total cost of $6,611,905.60, signifying a difference of approximately $812,669.85, which indicates a more expensive operation in the Constraint Scenario. The average service time is slightly higher in the Constraint Scenario (0.72 days vs. 0.70 days), suggesting that the What-if Scenario provides a marginally quicker service. Moreover, the average end-to-end service time…
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