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The Swedish Bakery gets an average of 8 customers per hour. Tim Gonzales, the server, can serve a customen in 5 minutes on average. The arrival rate follows a Poisson distribution, and service time is exponentially distributed. What is the average number of customers in the system? If your answer is not an integer, keep two decimal points. What is the average waiting time in the queue (in minutes)? If your answer is not an integer, keep two decimal points.

The Swedish Bakery gets an average of 8 customers per hour. Tim Gonzales, the server, can serve a customen in 5 minutes on average. The arrival rate follows a Poisson distribution, and service time is exponentially distributed. What is the average number of customers in the system? If your answer is not an integer, keep two decimal points. What is the average waiting time in the queue (in minutes)? If your answer is not an integer, keep two decimal points.

Practical Management Science
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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In order to reduce the average time customer spends waiting in the queue, the Swedish Bakery considers replacing Tim Gonzales (their current server) by John Thunderbolt who can serve faster. John Thunderbolt can serve a customer in 4 minutes on average (exponentially distributed). What would the new average waiting time in the queue (in minutes) be? If your answer is not an integer, keep two decimal points. QUESTION 12 John Thunderbolt's weekly salary is $200 higher than Tim's salary. For each minute of reduction in the average waiting time in the queue, the Swedish Bakery avoids a loss of S60 per week. Determine whether the fallewing statement is true or false: Swedish Bakery should replace Tim Gonzales by John Thunderbolt. O True
Transcribed Image Text:In order to reduce the average time customer spends waiting in the queue, the Swedish Bakery considers replacing Tim Gonzales (their current server) by John Thunderbolt who can serve faster. John Thunderbolt can serve a customer in 4 minutes on average (exponentially distributed). What would the new average waiting time in the queue (in minutes) be? If your answer is not an integer, keep two decimal points. QUESTION 12 John Thunderbolt's weekly salary is $200 higher than Tim's salary. For each minute of reduction in the average waiting time in the queue, the Swedish Bakery avoids a loss of S60 per week. Determine whether the fallewing statement is true or false: Swedish Bakery should replace Tim Gonzales by John Thunderbolt. O True
The Swedish Bakery gets an average of 8 customers per hour. Tim Gonzales, the server, can serve a customer in 5 minutes on average. The arrival rate follows a Poisson distribution, and service time is exponentially distributed. What is the average number of customers in the system? If your answer is not an integer, keep two decimal points. What is the average waiting time in the queue (in minutes)? If your answer is not an integer, keep two decimal points.
Transcribed Image Text:The Swedish Bakery gets an average of 8 customers per hour. Tim Gonzales, the server, can serve a customer in 5 minutes on average. The arrival rate follows a Poisson distribution, and service time is exponentially distributed. What is the average number of customers in the system? If your answer is not an integer, keep two decimal points. What is the average waiting time in the queue (in minutes)? If your answer is not an integer, keep two decimal points.
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9781337406659
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