a. The average number of customers waiting. (Round your intermediate calculations to 3 decimal places and final answer to 2 decimal places.)     b. The average time a customer waits. (Round your answer to 2 decimal places.)     c. The average time a customer is in the shop. (Round your intermediate calculations to 3 decimal places and final answer to 1 decimal place.)     d. The average utilization of Benny’s time. (Round your intermediate calculations to 3 decimal places and final answer to 1 decimal place.)

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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Benny the Barber owns a one-chair shop. At barber college, they told Benny that his customers would exhibit a Poisson arrival distribution and that he would provide an exponential service distribution. His market survey data indicate that customers arrive at a rate of 4.0 per hour. It will take Benny an average of 11 minutes to give a haircut. Based on these figures, find the following:

a. The average number of customers waiting. (Round your intermediate calculations to 3 decimal places and final answer to 2 decimal places.)

 

 

b. The average time a customer waits. (Round your answer to 2 decimal places.)

 

 

c. The average time a customer is in the shop. (Round your intermediate calculations to 3 decimal places and final answer to 1 decimal place.)

 

 

d. The average utilization of Benny’s time. (Round your intermediate calculations to 3 decimal places and final answer to 1 decimal place.)

 

 

 
 
 
 
 
 
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