Marty's Barber Shop has one barber. Customers have an arrival rate of 1.1 customers per hour, and haircuts are given with a service rate of 4 per hour. Use the Poisson arrivals and exponential service times model to answer the following questions: What is the probability that one customer is receiving a haircut and two customers are waiting? Round your answer to four decimal places. P3 = What is the probability that more than two customers are waiting? Round your answer to four decimal places. P(More than 2 waiting) = What is the average time a customer waits for service? Round your answer to four decimal places. Wq = minutes
Marty's Barber Shop has one barber. Customers have an arrival rate of 1.1 customers per hour, and haircuts are given with a service rate of 4 per hour. Use the Poisson arrivals and exponential service times model to answer the following questions: What is the probability that one customer is receiving a haircut and two customers are waiting? Round your answer to four decimal places. P3 = What is the probability that more than two customers are waiting? Round your answer to four decimal places. P(More than 2 waiting) = What is the average time a customer waits for service? Round your answer to four decimal places. Wq = 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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Marty's Barber Shop has one barber. Customers have an arrival rate of 1.1 customers per hour, and haircuts are given with a service rate of 4 per hour. Use the Poisson arrivals and exponential service times model to answer the following questions:
- What is the probability that one customer is receiving a haircut and two customers are waiting? Round your answer to four decimal places.
P3 = - What is the probability that more than two customers are waiting? Round your answer to four decimal places.
P(More than 2 waiting) = - What is the average time a customer waits for service? Round your answer to four decimal places.
Wq = minutes
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