Buster's Burger is a hamburger restaurant where customers form a single line for the one cashier. The

Question:

Buster's Burger is a hamburger restaurant where customers form a single line for the one cashier. The average number of arrivals is 1 per minute and the Poisson distribution accurately defines this rate. The average time to serve a customer is 30 seconds, and the exponential distribution may be used to describe the distribution of service times.

(a) What are λ and μ in this situation?

(b) Using Kendall notation, what type of queuing system is this?

(d) What percentage of time is the cashier idle?

(e) What is the average length of the line?

(f) How many minutes does the average customer spend waiting in line?

(g) How many minutes typically elapse from the time the person enters the line until the person gets the food and leaves the system?

Distribution
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