Burger Dome sells hamburgers, cheeseburgers, French fries, softdrinks, and milk shakes, as well as a limited number of specialtyitems and dessert selections. Although Burger Dome would like toserve each customer immediately, at times more customers arrivethan can be handled by the Burger Dome food service staff. Thus,customers wait in line to place and receive their orders. Supposethat Burger Dome analyzed data on customer arrivals and concludedthat the arrival rate is 48 customers per hour and 1 customerprocessed per minute.
Compare a multiple-server waiting line system with a sharedqueue to a multiple-server waiting line system with a dedicatedqueue for each server. Suppose Burger Dome establishes two serversbut arranges the restaurant layout so that an arriving customermust decide which server's queue to join. Assume that this systemequally splits the customer arrivals so that each server sees halfof the customers. How does this system compare with the two-serverwaiting line system with a shared queue? Compare the average numberof customers waiting, average number of customers in the system,average waiting time, and average time in the system. If required,round your answers to four decimal places.
| Shared single queue | Dedicated queues |
|---|
| Number of customers waiting | | |
| Average number of customers in the system | | |
| Average waiting time | minutes | minutes |
| Average time in the system | minutes | minutes |
Comparing these numbers, it is clear that the two dedicatedqueues
- shared single queue
- two dedicated queues
results in better process performance than the shared singlequeue
- shared single queue
- two dedicated queues
.
