a. If we want the average time a customer spends in line and in service to be 30 minutes or less, how many ticket agents should be on duty? b. If we want 95% of all customers to wait 45 minutes or less in line, how many ticket agents should be on duty?

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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20.6 114
A Northwest Airlines ticket counter forecasts that 200
people per hour will need to check in. It takes an
average of two minutes to service a customer. Assume
that
interarrival
times
and
service
times
are
exponential and that all customers wait in a single line
for the first available agent.
a. If we want the average time a customer spends in
line and in service to be 30 minutes or less, how many
ticket agents should be on duty?
b. If we want 95% of all customers to wait 45 minutes
or less in line, how many ticket agents should be on
duty?|
Transcribed Image Text:20.6 114 A Northwest Airlines ticket counter forecasts that 200 people per hour will need to check in. It takes an average of two minutes to service a customer. Assume that interarrival times and service times are exponential and that all customers wait in a single line for the first available agent. a. If we want the average time a customer spends in line and in service to be 30 minutes or less, how many ticket agents should be on duty? b. If we want 95% of all customers to wait 45 minutes or less in line, how many ticket agents should be on duty?|
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