5. Flo's Quick-Lube performs fast oil changes (A) and checks for tire pressure and wear (B) and brakes and alignment (C) according to the process flow indicated by the diagram below. Each incoming car is put on a jack while one technician performs task A and another simultaneously performs task B and a third performs task C (which must follow task B due to the limited space under the vehicle on the jack). The server for task A takes on average 3 minutes to process a job, the server for task B takes on average 2 minutes to process a job, and the server for task C takes on average 2 minutes to process a job. Server A can be operated in parallel with Servers B and C. All processing times are random and exponentially distributed, and jobs are allowed to queue in front of each server. (You can assume that the number of jacks is sufficient to allow any length of queue.) (a) AND B A Figure 1: Flo's Process Flow What is the capacity of the process (in orders/minute)?

Practical Management Science
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Author:WINSTON, Wayne L.
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5. Flo's Quick-Lube performs fast oil changes (A) and checks for tire pressure and wear (B) and
brakes and alignment (C) according to the process flow indicated by the diagram below. Each
incoming car is put on a jack while one technician performs task A and another simultaneously
performs task B and a third performs task C (which must follow task B due to the limited space
under the vehicle on the jack). The server for task A takes on average 3 minutes to process a job,
the server for task B takes on average 2 minutes to process a job, and the server for task C takes
on average 2 minutes to process a job. Server A can be operated in parallel with Servers B and C.
All processing times are random and exponentially distributed, and jobs are allowed to queue in
front of each server. (You can assume that the number of jacks is sufficient to allow any length of
queue.)
(a)
AND
B
A
C
Figure 1: Flo's Process Flow
What is the capacity of the process (in orders/minute)?
Transcribed Image Text:5. Flo's Quick-Lube performs fast oil changes (A) and checks for tire pressure and wear (B) and brakes and alignment (C) according to the process flow indicated by the diagram below. Each incoming car is put on a jack while one technician performs task A and another simultaneously performs task B and a third performs task C (which must follow task B due to the limited space under the vehicle on the jack). The server for task A takes on average 3 minutes to process a job, the server for task B takes on average 2 minutes to process a job, and the server for task C takes on average 2 minutes to process a job. Server A can be operated in parallel with Servers B and C. All processing times are random and exponentially distributed, and jobs are allowed to queue in front of each server. (You can assume that the number of jacks is sufficient to allow any length of queue.) (a) AND B A C Figure 1: Flo's Process Flow What is the capacity of the process (in orders/minute)?
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