A local bank has generated the following metrics: an arrival rate of 18 customers per hour with a service time of 3 minutes per customer, and wait times Wq = 0.45 hours for s = 1, Wq = 0.0127 hours for s = 2, and Wq = 0.0017 hours for s = 3. The goal is to solve the following argument: argmin $7s + $49Lq. What is the optimal service level?

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 37P
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A local bank has generated the following metrics: an arrival rate of 18 customers per hour with a service time of 3 minutes per customer, and wait times Wq = 0.45 hours for s = 1, Wq = 0.0127 hours for s = 2, and Wq = 0.0017 hours for s = 3. The goal is to solve the following argument: argmin $7s + $49Lq. What is the optimal service level?

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