Chick-fil-A (located on Nelson Road) is analyzing its two-step drive-through process for a partic- ularly busy...

 

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Chick-fil-A (located on Nelson Road) is analyzing its two-step drive-through process for a partic- ularly busy period. A car arrives and waits in one of two order queue, then places and order and proceeds to wait in a single-window (single-server) M/M/1 queue before receiving their food, and exiting the system. For the window queue, the manager has provided us with an arrival rate of A = 10.8 customers per minute and an average of E[L] = 8.1 customers in line. 8. What is the mean service rate u (in customers per minute) for the window queue? Note that before solving for u we can easily derive p using the quadratic equation: P VEL (EL) + 4) - E(Lg] 2 In addition to the provided queue metrics in the table, he manager has given us an average of 17.1 customers (in line plus service) at either order queue. Using the above information, what is the average number of customers in the two-step process (order queue and window queue), E [L]? (Hint: the unique benefit of multi-stage or "tandem" M/M/s queues, is that you can simply add up each queue separately in the form "E[L] will equal the two order queues with 17.1 customers each plus the one window queue with ??? customers.") How long does an average customer spend in the two-step process (in minutes) from the time they arrive, E[W]? (Hint: remember, Little's Law always works!) Chick-fil-A (located on Nelson Road) is analyzing its two-step drive-through process for a partic- ularly busy period. A car arrives and waits in one of two order queue, then places and order and proceeds to wait in a single-window (single-server) M/M/1 queue before receiving their food, and exiting the system. For the window queue, the manager has provided us with an arrival rate of A = 10.8 customers per minute and an average of E[L] = 8.1 customers in line. 8. What is the mean service rate u (in customers per minute) for the window queue? Note that before solving for u we can easily derive p using the quadratic equation: P VEL (EL) + 4) - E(Lg] 2 In addition to the provided queue metrics in the table, he manager has given us an average of 17.1 customers (in line plus service) at either order queue. Using the above information, what is the average number of customers in the two-step process (order queue and window queue), E [L]? (Hint: the unique benefit of multi-stage or "tandem" M/M/s queues, is that you can simply add up each queue separately in the form "E[L] will equal the two order queues with 17.1 customers each plus the one window queue with ??? customers.") How long does an average customer spend in the two-step process (in minutes) from the time they arrive, E[W]? (Hint: remember, Little's Law always works!)

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Step 11 For a nonpriority system the average service time Es 09x04 01... View the full answer