3. (15 points) Come-and-Go Mart has 2 tellers to serve customers who come to buy. From customers who buy, an average of 40 customers per hour queue to check-out and follow the Poisson distribution while 2 minutes is the average time it takes a teller to serve customers by following the exponential distribution. If the queue capacity there is 18 and there are 30 customers in the shop.
Write down Kendall's notation to describe the queuing system at the store
(note: use the most appropriate service discipline for the situation at Come-and-Go Mart) We know several service disciplines including: first come first serve (FCFS), first in first out (FIFO), first in last out (FILO), shortest job first (SJF), random (Random), etc.
4. If from the problem above Come-and-Go uses a queue line served by 2 tellers in parallel, where the queue capacity and population are considered Infinity, determine:
a. Draw the queuing system
b. What is the average customer in the queue to check out and how long does it take to wait?