Question

Queueing Theory

apply elementary queueing theory equations to compute statistics for the various scheduling systems

assume exponential inter-arrival and service time distributions

Potbelly's is getting ready to open a new store at the MTCC, and is expecting approximately 8 students to arrive per minute during the lunch rush. If they want to guarantee that no more than 10 students, on average, are waiting in line to get serviced, how quickly must they be able to take and complete orders?

Answer 1

ANSWER:

1. On the off chance that there are 8 students(just accept) who arrives every moment, it implies you should have the capacity to benefit those 8 understudy in a minute.You must need to deal with these 8 understudies in a moment in light of the fact that at one minute from now other 8 understudies wil come and you should benefit them.
2. So orchestrate first line with initial 8 understudies and promptly benefit them in a one moment and prepare at one minute from now to benefit other 8 understudies and organize them in second line.
3. Presently lets tally how long you have to benefit one understudy among 8 understudies.
4. Despite the fact that you have one moment it implies 60 seconds and you need to benefit every one of them in 60 seconds, subsequently : (60/8)=7.5
5. It implies you need to benefit every understudy in first queue(8 understudies) in a 7.5 second.After that you have to benefit second understudy.
6. Following one moment, first line must has been adjusted.
7. At long last answer is, benefit every understudy in 7.5 second.