d. Another clerk has been hired for the camera department who also takes an average of 10.0 minutes to serve each arrival. How long would a customer expect to spend in the department now? (Do not round intermediate calculations. Round your answer to 1 decimal place.) Average total time minutes

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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part D pls

d. Another clerk has been hired for the camera department who also takes an average of 10.0 minutes to serve each arrival. How long
would a customer expect to spend in the department now? (Do not round intermediate calculations. Round your answer to 1
decimal place.)
Average total time
minutes
Transcribed Image Text:d. Another clerk has been hired for the camera department who also takes an average of 10.0 minutes to serve each arrival. How long would a customer expect to spend in the department now? (Do not round intermediate calculations. Round your answer to 1 decimal place.) Average total time minutes
Customers enter the camera department of a store at an average rate of five per hour. The department is staffed by one employee,
who takes an average of 10.0 minutes to serve each arrival. Assume this is a simple Poisson arrival, exponentially distributed service
time situation. (Use the Excel spreadsheet Queue Models.)
a-1. As a casual observer, how many people would you expect to see in the camera department (excluding the clerk)? (Round your
answer to 2 decimal places.)
Number of people
4.25
a-2. How long would a customer expect to spend in the camera department (total time)? (Do not round intermediate calculations.
Round your answer to 1 decimal place.)
Average total time
61.0 minutes
b. What is the utilization of the clerk? (Do not round intermediate calculations. Round your answer to 1 decimal place.)
Utilization
83.3 %
c. What is the probability that there are more than two people in the camera department (excluding the clerk)?(Do not round
intermediate calculations. Round your answer to 1 decimal place.)
Probability
57.9 %
Transcribed Image Text:Customers enter the camera department of a store at an average rate of five per hour. The department is staffed by one employee, who takes an average of 10.0 minutes to serve each arrival. Assume this is a simple Poisson arrival, exponentially distributed service time situation. (Use the Excel spreadsheet Queue Models.) a-1. As a casual observer, how many people would you expect to see in the camera department (excluding the clerk)? (Round your answer to 2 decimal places.) Number of people 4.25 a-2. How long would a customer expect to spend in the camera department (total time)? (Do not round intermediate calculations. Round your answer to 1 decimal place.) Average total time 61.0 minutes b. What is the utilization of the clerk? (Do not round intermediate calculations. Round your answer to 1 decimal place.) Utilization 83.3 % c. What is the probability that there are more than two people in the camera department (excluding the clerk)?(Do not round intermediate calculations. Round your answer to 1 decimal place.) Probability 57.9 %
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