Robert Olney's Barbershop is a popular haircutting and styling salon near the campus of the University of New Haven. Four barbers work full-time and spend an average of 15 minutes on each customer. Customers arrive all day long at an average rate of 12 per hour. Arrivals tend to follow the Poisson distribution, and service times are negative exponentially distributed. The software described in this quantitative module may be used to answer the following questions. a) The probability that the shop is empty is (round your response to four decimal places). b) The average number of customers in the barber shop is c) The average time spent in the shop is hours (round your response to three decimal places). d) The average time that a customer waits to be called to the barber chair is hours (round your response to three decimal places). e) The average number waiting to be served is customers (round your response to two decimal places). f) Robert is thinking of adding a fifth barber. The utilization rate of his shop will be customers (round your response to two decimal places). (round your response to four decimal places).
Robert Olney's Barbershop is a popular haircutting and styling salon near the campus of the University of New Haven. Four barbers work full-time and spend an average of 15 minutes on each customer. Customers arrive all day long at an average rate of 12 per hour. Arrivals tend to follow the Poisson distribution, and service times are negative exponentially distributed. The software described in this quantitative module may be used to answer the following questions. a) The probability that the shop is empty is (round your response to four decimal places). b) The average number of customers in the barber shop is c) The average time spent in the shop is hours (round your response to three decimal places). d) The average time that a customer waits to be called to the barber chair is hours (round your response to three decimal places). e) The average number waiting to be served is customers (round your response to two decimal places). f) Robert is thinking of adding a fifth barber. The utilization rate of his shop will be customers (round your response to two decimal places). (round your response to four decimal places).
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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