People arrive at a barber shop at the rate of one every 4.5 minutes. If the shop is full (it can hold five people altogether), 30% of the potential customers leave and come back in 60 ± 20 minutes. The others leave and do not return. One barber gives haircut in 8 ± 2 minutes, whereas the second talks a lot and it takes 12 +/- 4 minutes. If both barbers are idle, a customer prefers the first barber. Treat customers trying to reenter the shop as if they are new customers. Simulate the system until 300 customers have received the haircut.
a. Estimate the balking rate, that is, the number turned away per minute.
b. Estimate the number turned away per minute who do not try again.
c. What is the average time spent in the shop?
d. What is the average time spent getting a hair cut, not including the delay?
e. What is the average number of customers in the shop?